⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ ྛ◊✲㒊㛛ࡢሗ࿌,⣲⢏Ꮚ≀⌮◊✲㒊㛛 ࣓ࣥࣂ࣮
ᩍᤵ⸝ቑ ჆ఙࠊ㟷ᮌ ៅஓ(⟃Ἴ኱Ꮫᐈဨᩍᤵ)ࠊᏱᕝ ᙲ㸦ィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ࣇ

࢙࣮ࣟ㸧ࠊ㔠㇂ ࿴⮳㸦ඹྠ◊✲ဨ㸧෸ᩍᤵ▼ሯ ᡂேࠊྜྷỤ ཭↷ࠊ▼஭ ⌮ಟࠊ᰿ᮧ ⱥඞ

ㅮᖌ

㇂ཱྀ ⿱௓

◊✲ဨ

ᾋ⏣ ᑦဢࠊబࠎᮌ ೺ᚿࠊ⁥ᕝ ⿱௓Ꮫ⏕    ኱Ꮫ㝔⏕ 6 ྡࠊᏛ㢮⏕ 2 ྡ
 ᴫせ ᙜ㒊㛛࡛ࡣࠊᮏᖺᗘࡶ᱁ᏊQCDࡢ኱ᆺࢩ࣑࣮ࣗࣞࢩࣙࣥ◊✲ࡢศ㔝࡛άⓎ࡞◊✲άືࡀ⾜ࢃࢀࡓࠋ᱁Ꮚሙࡢ⌮ㄽࢢ࣮ࣝࣉࡢ◊✲⪅ࡢ኱༙ࡀཧຍࡋ࡚࠸ࡿ୺せࣉࣟࢪ࢙ࢡࢺ࡜ࡋ࡚ࠊHPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝㸳㸦ᚋ㏙㸧࡟࠾ࡅࡿ◊✲㛤Ⓨㄢ㢟㸯ࠕ᱁ᏊQCD࡟ࡼࡿ≀⌮Ⅼ࡛ࡢࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢỴᐃࠖࡀ࠶ࡿࠋࡇࢀࡣࠊPACS-CS Collaboration 㸦2011ᖺ9᭶ᮎࡢPACS-CSᶵࢩࣕࢵࢺࢲ࢘
ࣥ࡟కࡗ࡚ゎᩓ㸧ࡀྲྀࡾ⤌ࢇ࡛᮶ࡓ≀⌮Ⅼ࡛ࡢNf=2+1 QCDࢩ࣑࣮ࣗࣞࢩࣙࣥࡸup-downࢡ࢛࣮
ࢡ㉁㔞ᕪ࠾ࡼࡧ㟁☢┦஫స⏝ࢆྲྀࡾධࢀࡓNf=1+1+1 QCD+QEDࢩ࣑࣮ࣗࣞࢩࣙࣥࢆⓎᒎⓗ࡟ᘬࡁ⥅࠸ࡔࡶࡢ࡛࠶ࡾࠊHAL QCD Collaborationࡀ᥎㐍ࡋ࡚࠸ࡿ᰾Ꮚ㛫࣏ࢸࣥࢩࣕࣝࡸࣁࢻࣟࣥ㛫┦஫స⏝ࡢィ⟬ࡶྲྀࡾධࢀ࡚࠸ࡿࠋࡇࢀ࡜୪⾜ࡋ࡚ࠊ᭷㝈ᗘ࣭᭷㝈ᐦᗘQCDࡢ◊✲ࢆ᥎㐍ࡋ࡚࠸ࡿWHOT-QCD Collaborationࡸࠊ㧗࢚ࢿࣝࢠ࣮ຍ㏿ჾ◊✲ᶵᵓ㸦KEK㸧࡜ඹྠࡋ࡚࢝࢖ࣛࣝࣇ
࢙࣑ࣝ࢜ࣥࢆ⏝࠸ࡓ◊✲ࢆ᥎㐍ࡋ࡚࠸ࡿJLQCD Collaboration࡞࡝࡛ࠊάⓎ࡞◊✲ࢆ⾜ࡗࡓࠋࡉࡽ࡟ࠊ᱁ᏊQCD㓄఩ࡸࡑࡢ௚ࡢࢹ࣮ࢱࢆඹ᭷ࡍࡿⅭࡢࢹ࣮ࢱࢢࣜࢵࢻILDG/JLDGࡢᵓ⠏࣭ᩚഛࢆ᥎㐍ࡋࡓࠋ ᅜෆࡢィ⟬⛉Ꮫ඲యࡢືྥ࡜ࡋ࡚ࠊࠕிࠖࢥࣥࣆ࣮ࣗࢱࢆ୰᰾࡜ࡋࡓ㠉᪂ⓗࣁ࢖ࣃࣇ࢛࣮࣐ࣥ
ࢫ࣭ࢥࣥࣆ࣮ࣗࢸ࢖ࣥࢢ࣭࢖ࣥࣇࣛࡢᵓ⠏ࢆ୺ᑟࡍࡿࡓࡵ࡟ࠊࠕHigh Performance Computing
Infrastructure (HPCI) ᡓ␎ࣉࣟࢢ࣒ࣛࠖࡀᩥ㒊⛉Ꮫ┬࡟ࡼࡾ᥎㐍ࡉࢀ࡚࠸ࡿࠋࡑHPCIᡓ␎ࣉࣟࢢ࣒ࣛࡢ㸳ࡘࡢᡓ␎ศ㔝ࡢ㸯ࡘ࡜ࡋ࡚ࠊி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤ㟷ᮌៅஓᩍᤵ㸦ᮏᏛᐈဨᩍᤵ㸧ࡀ⤫ᣓ㈐௵⪅ࢆດࡵࡿศ㔝㸳ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖࡀ᥇ᢥࡉࢀࠊ2011ᖺᗘ࠿ࡽᮏ᱁ⓗ࡟άືࡀጞࡲࡾࠊ2012ᖺᗘࡣࠊ⛅࠿ࡽඹ⏝ࡀ㛤ጞࡉࢀࡓࠕிࠖࢥࣥࣆ࣮ࣗࢱࢆ୰ᚰ࡟ࠊࡑࡢ◊✲άືࡀάⓎ໬ࡋ࡚࠸ࡿࠋヲࡋ࠸άືෆᐜࡣࠊhttp://www.jicfus.jp/field5/jp/ࢆཧ↷ࡋ࡚࠸ࡓࡔࡁࡓ࠸ࠋ
ࡲࡓࠊศ㔝㸳ࡢᡓ␎ࣉࣟࢢ࣒ࣛࢆᐇ᪋ࡍࡿᶵ㛵ࡣࠊ㟷ᮌᩍᤵࡀᣐⅬ㛗ࢆດࡵࡿࠕィ⟬ᇶ♏⛉Ꮫ㐃
ᦠᣐⅬ࡛ࠖ࠶ࡿࡀࠊࡑࡢάືࡣࠊhttp://www.jicfus.jp/jp ࡟ヲࡋ࠸ࠋ-10-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ ◊✲ᡂᯝ࠙ࠚ HPCI ᡓ␎ࣉࣟࢢ࣒ࣛศ㔝 5 ࡟࠾ࡅࡿ◊✲㛤Ⓨㄢ㢟㸦⸝ቑࠊ㟷ᮌࠊ▼ሯࠊ▼஭ࠊ᰿ᮧࠊ㇂
ཱྀࠊᾋ⏣ࠊబࠎᮌࠊ⁥ᕝ㸧 ศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖࡢᡓ␎┠ᶆࡣࠊࣅࢵࢢࣂࣥ࡟ጞࡲࡿᏱᐂࡢṔྐ࡟᪊ࡅࡿࠊ⣲⢏Ꮚ࠿ࡽඖ⣲ྜᡂࠊ࣭ᫍ㖟Ἑᙧᡂ࡟⮳ࡿ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࢆࠊ」ᩘࡢ㝵ᒙࢆ⧅ࡄィ⟬⛉Ꮫⓗᡭἲ࡛⤫୍ⓗ࡟⌮ゎࡍࡿࡇ࡜࡟࠶ࡿࠋࡇࡢ┠ᶆࢆ┠ᣦࡋ࡚4ࡘࡢ◊✲㛤Ⓨㄢ㢟ࡀタᐃࡉࢀ࡚࠾ࡾࠊ
ࡑࡢ࠺ࡕࡢ୍ࡘ࡛࠶ࡿࠕ᱁ᏊQCD࡟ࡼࡿ≀⌮Ⅼ࡛ࡢࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢỴᐃࠖࡢ㈐௵⪅ࢆ⸝ቑࡀົࡵ࡚࠸ࡿࠋᮏㄢ㢟ࡀ┠ᣦࡍࡶࡢࡣࠊ᱁ᏊQCDィ⟬ࡢᚤ⣽໬࡜࣐ࣝࢳࢫࢣ࣮ࣝ໬ࢆ㘽࡜ࡍࡿ᪂ࡋ࠸ᒎ㛤࡛࠶ࡿࠋᚤ⣽໬࡜ࡣࠊ㟁☢┦஫స⏝ࡸup࡜downࢡ࢛࣮ࢡࡢ㉁㔞ᕪࢆྲྀࡾධࢀࡓ኱つᶍࢩ࣑࣮ࣗࣞࢩࣙࣥࡢᐇ⌧ࢆព࿡ࡍࡿࠋࡇࢀ࡟ࡼࡾࠊQCDࡢᇶᮏࣃ࣓࣮ࣛࢱ࡛࠶ࡿࢡ࢛࣮ࢡ㉁㔞ࢆ㧗⢭ᗘ࡛Ỵᐃࡍࡿࡇ࡜ࡀྍ⬟࡟࡞ࡿࠋ௚᪉ࠊ࣐ࣝࢳࢫࢣ࣮ࣝ໬࡜ࡣQCDࢆ⏝࠸࡚᰾Ꮚࢆ」ᩘసࡿࡇ
࡜࡟ࡼࡗ࡚᰾Ꮚ㛫ࡢ᭷ຠ┦஫స⏝ࢆㄪ࡭ࡓࡾࠊ᭦࡟ࡣ᰾Ꮚࡢ᮰⦡≧ែ࡛࠶ࡿཎᏊ᰾ࡢ┤᥋ᵓᡂࢆ⾜࠺ࡇ࡜ࢆព࿡ࡍࡿࠋ๓⪅ࡣHAL QCD Collaborationࡀྲྀࡾ⤌ࢇ࡛࠸ࡿ࢔ࣉ࣮ࣟࢳ࡛࠶ࡾࠊᚋ⪅ࡣ⸝ቑࠊᏱᕝࢆ୰ᚰ࡜ࡋࡓࢢ࣮ࣝࣉ࡟ࡼࡗ࡚᥎㐍ࡉࢀ࡚࠸ࡿ㸦ᚋ㏙㸧ࠋ
㸦1㸧᱁Ꮚ QCD ࡟ࡼࡿ≀⌮Ⅼ࡛ࡢࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢỴᐃ ᖹᡂ24ᖺᗘ⛅ࡢࠕிࠖࡢඹ⏝㛤ጞ௨㝆ࠊࢤ࣮ࢪ㓄఩⏕ᡂࡢᮏ᱁ィ⟬ࢆ⥅⥆ࡋ࡚࠸ࡿࠋDDHMC
㸦Domain-Decomposed Hybrid Monte Carlo㸧ἲ࡟ࡼࡿࢤ࣮ࢪ㓄఩⏕ᡂ࡟࠾࠸࡚ࡣࠊ964ࡢ᱁Ꮚࢧ࢖ࢬࠊ0.1 fmࡢ᱁Ꮚ㛫㝸ࢆ᥇⏝ࡋࠊ2+1ࣇ࣮ࣞࣂ࣮㸦mu=mdӆms㸧QCD ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ
ࢆᐇ⾜ࡋ࡚࠸ࡿࠋᖹᡂ24ᖺᗘ୰࡟ࠊேⅭⓗ࡟タᐃࡋࡓึᮇ≧ែ࠿ࡽฟⓎࡋ࡚⇕ᖹ⾮≧ែ࡟฿㐩ࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋ⏕ᡂࡉࢀࡓࢤ࣮ࢪ㓄఩ࡣ5ศᏊືຊᏛ᫬㛫ẖ࡟ಖᏑࡋࠊࢿࢵࢺ࣮࣡ࢡࢆ㏻ࡌ࡚⟃Ἴ኱Ꮫ࡬㌿㏦ࡋࠊHA-PACS㸦ィ⟬ࣀ࣮ࢻᩘ268ࠊGPU㒊ࣆ࣮ࢡ₇⟬ᛶ⬟713TflopsࠊCPU㒊ࣆ࣮
ࢡ₇⟬ᛶ⬟89Tflops㸧ࢆ⏝࠸࡚ࣁࢻࣟࣥ㉁㔞࡞࡝ࡢᇶᮏ≀⌮㔞ࡢᐃࢆ⾜ࡗ࡚࠸ࡿࠋᅗ1 ࡣࡇࢀࡲ࡛ᚓࡽࢀࡓᏳᐃ࡞㸦ᙉ࠸┦஫స⏝࡛ᔂቯࡋ࡞࠸㸧ࣁࢻࣟࣥࡢ㉁㔞ࡢィ⟬⤖ᯝࢆᐇ㦂್࡜ẚ㍑ࡋ
ࡓࡶࡢ࡛࠶ࡿࠋ᪤࡟0.1%࣮࢜ࢲ࣮ࡢ⤫ィㄗᕪ࡟฿㐩ࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿࠋࡇࡇ࡛ࡣࠊࢡ࢛࣮ࢡ
㉁㔞㸦mu=mdӆms㸧࡜᱁Ꮚ㛫㝸ࢆỴࡵࡿࡓࡵࡢ3 ࡘࡢ≀⌮㔞࡜ࡋ࡚ࠊȧ୰㛫Ꮚ㉁㔞㸦mȧ㸧ࠊK୰㛫Ꮚ㉁㔞㸦mK㸧ࠊƺࣂࣜ࢜ࣥ㉁㔞㸦mƺ㸧ࢆ᥇⏝ࡋ࡚࠸ࡿࠋmȧ࡜mK࡟ᑐࡋ࡚ࡣ᭦࡟ᩘ%⛬ᗘࡢᐇ㦂್࡬ࡢࢳ࣮ࣗࢽࣥࢢࡀᚲせ࡛࠶ࡿࡇ࡜ࡀぢ࡚࡜ࢀࡿࡀࠊࡑࡢ⿵ṇࡣ௒ᚋreweightingἲ࡜࿧ࡤࢀ
ࡿィ⟬ᡭἲࢆ⏝࠸࡚⾜࠺ணᐃ࡛࠶ࡿࠋ ࣁࢻࣟࣥ㉁㔞ࡢィ⟬ࡀ0.1%࣮࢜ࢲ࣮ࡢ⤫ィㄗᕪ࡟฿㐩ࡋࡓࡇ࡜ࡣࠊᮏ◊✲㛤Ⓨㄢ㢟ࡢ┠ᶆ࡛࠶ࡿཎᏊ᰾ࡢ┤᥋ᵓᡂ࡟ᇶ࡙ࡃ᮰⦡࢚ࢿࣝࢠ࣮ࡢ

ᐃ࠾ࡼࡧ2య࣭3యࣂࣜ࢜ࣥ㛫࣏ࢸࣥࢩࣕࣝࡢィ⟬࡟࡜ࡗ࡚ᮏ㉁ⓗ࡟㔜せ࡛࠶ࡿࠋ࡜࠸࠺ࡢࡶࠊ㔜࠸ࢡ࢛࣮ࢡ㉁㔞ࢆ⏝࠸ࡓඛ⾜◊✲࡟ࡼࡾࠊ㍍ཎ
Ꮚ᰾ࡢ᮰⦡࢚ࢿࣝࢠ࣮ࢆ20%࡞࠸ࡋࡣࡑࢀ௨ୗࡢ⤫ィㄗᕪ࡛ィ⟬ࡍࡿࡓࡵ࡟ࡣࠊ᰾Ꮚ㉁㔞ࡀ0.1%
࣮࢜ࢲ࣮ࡢ⤫ィㄗᕪ࡛ᚓࡽࢀ࡚࠸ࡿᚲせࡀ࠶ࡿࡇ࡜ࡀࢃ࠿ࡗ࡚࠸ࡿࠋ
-11-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

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ᅗ1㸸2+1ࣇ࣮ࣞࣂ࣮᱁ᏊQCD ィ⟬࡛ᚓࡽࢀࡓᏳᐃࣁࢻࣟࣥ㉁㔞㸦ƺࣂࣜ࢜ࣥ㉁㔞࡜ࡢẚ㸧࡜ᐇ㦂್࡜ࡢẚ㍑ࠋ㸦2㸧᱁Ꮚ QCD ඹ㏻ࢥ࣮ࢻ㛤Ⓨ ᱁ᏊQCDඹ㏻ࢥ࣮ࢻBridge++ࡢ㛤Ⓨࢆ㐍ࡵࡓ㸦ㄽᩥ1㸧ࠋ᱁ᏊQCDඹ㏻ࢥ࣮ࢻBridge++ࡣࠊQCD
ࢆྵࡴ᱁Ꮚࢤ࣮ࢪ⌮ㄽࢩ࣑࣮ࣗࣞࢩࣙࣥࡢࡓࡵࡢࢥ࣮ࢻ࡛࠶ࡿࠋᵝࠎ࡞᱁Ꮚస⏝ࡸ࢔ࣝࢦࣜࢬ࣒
ࢆྲྀࡾᢅ࠺ࡇ࡜ࡀྍ⬟࡛࠶ࡾࠊࣀ࣮ࢺPC࠿ࡽ㉸୪ิィ⟬ᶵࡲ࡛ᖜᗈ࠸࢔࣮࢟ࢸࢡࢳࣕ࡟ᑐᛂࡋ࡚
࠸ࡿࠋ᭱ඛ➃ࡢ◊✲࡟ᚲせ࡞ࣃࣇ࢛࣮࣐ࣥࢫࢆᐇ⌧࡛ࡁࠊ࡞࠾࠿ࡘ౑࠸᫆࠸ࡶࡢࢆ┠ᣦࡋ࡚࠸ࡿࠋ
2012ᖺ7᭶࡟Bridge++ ver.1.0.0ࢆබ㛤ࡋ࡚௨㝆ࠊ⥅⥆ࡋ࡚ࢥ࣮ࢻࡢᨵၿࠊᣑᙇࢆ⾜ࡗ࡚࠸ࡿ㸦http://bridge.kek.jp/Lattice-code/㸧ࠋᮏᖺᗘࡣࠊࢥ࣮ࢻ඲య࡟኱ࡁࡃᡭࡀධࢀࡽࢀࡓࠋ✀ࠎࡢ≀⌮㔞

ᐃࡀ㏣ຍࡉࢀࠊࡲࡓࣇ࢓ࢡࢺ࣮ࣜ໬➼ࡢࢥ࣮ࢻᵓ㐀໬ࡀࡼࡾ୍ᒙ᥎ࡋ㐍ࡵࡽࢀࡓࠋ2013ᖺ

7᭶࡟Bridge++ ver.1.1.0࡜ࡋ࡚࣓ࢪ࣮ࣕ࢔ࢵࣉࢹ࣮ࢺࡀ⾜ࢃࢀࡓࠋࡑࡢᚋࡶࠊࢥ࣮ࢻࡢಟṇࠊᨵⰋࡀ㐍ࡵࡽࢀ࡚࠸ࡿࠋ᭱᪂∧ࡣࠊver.1.1.3࡛࠶ࡿࠋ࠙ࠚ ᱁Ꮚ QCD ࡟ࡼࡿࢡ࢛࣮ࢡࢆ⮬⏤ᗘ࡜ࡋࡓཎᏊ᰾ࡢ┤᥋ᵓᡂ㸦⸝ቑࠊᏱᕝ㸧 ⸝ቑࠊᏱᕝࡣྡྂᒇ኱Ꮫᒣᓮ≉௵ຓᩍ࡜ࡢඹྠ◊✲࡟ࡼࡾࠊ2010ᖺୡ⏺࡛ึࡵ࡚᱁ᏊQCD࡟ࡼ
ࡿ࣒࣊ࣜ࢘ཎᏊ᰾ࡢᵓᡂ࡟ᡂຌࡋࠊࡑࡢࡢࡕ2᰾Ꮚ⣔ࡢ᮰⦡≧ែ࡛࠶ࡿ㔜㝧Ꮚࡢᵓᡂ࡟ࡶᡂຌࡋࡓࠋ
ࡇࢀࡽࡢィ⟬ࡣࠊࢥࢫࢺࢆᢚ࠼ࡿࡓࡵ࡟ࢡ࢙ࣥࢳ㏆ఝ࠿ࡘ㔜࠸ࢡ࢛࣮ࢡ㉁㔞ࢆ⏝࠸ࡓヨ㦂ⓗ࡞ࡶࡢ࡛࠶ࡗࡓࡀࠊࡑࡢᚋࠊ┿✵೫ᴟຠᯝࢆྲྀࡾධࢀࡓ2+1ࣇ࣮ࣞࣂ࣮QCDࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࠸ࠊ㏆ఝࢆ᤼ࡋࡓࡼࡾ⌧ᐇୡ⏺࡟㏆࠸≧ἣ࡛ࡢ࣒࣊ࣜ࢘ཎᏊ᰾࠾ࡼࡧ2᰾Ꮚ⣔ࡢ᮰⦡࢚ࢿࣝࢠ࣮ィ⟬࡟ᡂຌࡋࡓࠋࡓࡔࡋࠊࡇࡢィ⟬ࡣȧ୰㛫Ꮚ㉁㔞0.5GeV┦ᙜࡢࢡ࢛࣮ࢡ㉁㔞ࢆ⏝࠸ࡓࡶࡢ࡛࠶ࡾࠊ
-12-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩≀⌮Ⅼ㸦ȧ୰㛫Ꮚ㉁㔞0.14GeV ࡟┦ᙜ㸧ࡼࡾࡶ࠿࡞ࡾ㔜࠸ࠋ⌧ᅾࠊ≀⌮Ⅼ࡬ྥࡅ࡚ࢡ࢛࣮ࢡ㉁㔞
౫Ꮡᛶࢆㄪ࡭ࡿࡓࡵ࡟ࠊȧ୰㛫Ꮚ㉁㔞0.3GeV┦ᙜࡢࢡ࢛࣮ࢡ㉁㔞࡛ࡢィ⟬ࢆ㐙⾜୰࡛࠶ࡿ㸦ㄽᩥ
2㸧ࠋᅗ2ࡣ4HeཎᏊ᰾ࡢ᮰⦡࢚ࢿࣝࢠ࣮ࡢࢡ࢛࣮ࢡ㉁㔞౫Ꮡᛶࢆࣉࣟࢵࢺࡋࡓࡶࡢ࡛࠶ࡿࠋȧ୰㛫
Ꮚ㉁㔞0.5GeV࡛ࡢ⤖ᯝ࡜0.3GeV࡛ࡢ⤖ᯝࢆẚ㍑ࡍࡿ࡜ࠊㄗᕪࡢ⠊ᅖࢆ㉸࠼ࡓ㢧ⴭ࡞ࢡ࢛࣮ࢡ㉁㔞౫Ꮡᛶࡣㄆࡵࡽࢀ࡞࠸ࠋ௒ᚋࠊȧ୰㛫Ꮚ㉁㔞0.3GeVࡢ⤖ᯝࡢㄗᕪࢆᑠࡉࡃࡍࡿ࡜࡜ࡶ࡟ࠊᖹᡂ
26ᖺᗘࡣࠕிࠖࢆ⏝࠸ࡓ≀⌮Ⅼ࡛ࡢ㍍ཎᏊ᰾᮰⦡࢚ࢿࣝࢠ࣮ィ⟬࡟ྲྀࡾ⤌ࡴࠋ

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PS>*H9 @ᅗ2㸸4HeཎᏊ᰾ࡢ᮰⦡࢚ࢿࣝࢠ࣮ࡢȧ୰㛫Ꮚ㉁㔞౫Ꮡᛶࠋⓑᢤࡁࡣࢡ࢙ࣥࢳ㏆ఝࡢ⤖ᯝࢆ⾲ࡍࠋ࠙ࠚ K ୰㛫Ꮚᔂቯᖜࡢ◊✲㸦▼ሯࠊᏱᕝࠊྜྷỤ㸧 ⣲⢏Ꮚᶆ‽ᶍᆺ࡟ࡣࠊ᫇࠿ࡽࡢᮍゎỴၥ㢟࡛ࠊ࠿ࡘ⌮ㄽࡢ᳨ド࡟࠾࠸࡚ᴟࡵ࡚㔜せ࡞ၥ㢟ࡀṧࡉࢀ࡚࠸ࡿࠋK୰㛫Ꮚᔂቯ࡛ࡢƦI = 1/2๎ࡢゎ᫂࡜ࠊCP㠀ಖᏑࣃ࣓࣮ࣛࢱ(ࣅĻ/ࣅ) ࡢ⌮ㄽ࠿ࡽࡢண
࡛࠶ࡿࠋࡇࢀࡽࡢၥ㢟࡟ࡣࠊK୰㛫Ꮚࡀ஧ࡘࡢȧ୰㛫Ꮚ࡟ᔂቯࡍࡿ㐣⛬࡛ࡢᔂቯ᣺ᖜࡢィ⟬ࡀᚲせ࡛࠶ࡿࠋᔂቯ㐣⛬࡟ࡣࠊ⤊≧ែࡢ࢔࢖ࢯࢫࣆࣥࡀI=0࡜I=2ࡢ஧ࡘࡢሙྜࡀ࠶ࡾࠊࡑࢀࡒࢀࡢᔂቯ᣺ᖜࢆA0࡜A2࡜࿧ࡪࠋ▼ሯࠊᏱᕝࠊྜྷỤࡽࡣࠊ᱁ᏊQCD࡟ࡼࡾᔂቯ᣺ᖜࢆᩘ್ィ⟬ࡋࠊၥ㢟ࡢ◊✲ࢆ⾜ࡗࡓ㸦ㄽᩥ3㸧ࠋィ⟬ࡣࠊȧ୰㛫Ꮚ㉁㔞mȧ=280MeV ࡢࡶ࡜࡛⾜ࡗࡓࠋA0ࡢィ⟬࡛ࡣࠊ㠀㐃⤖ࢲ࢖࢔ࢢ࣒ࣛ࠿ࡽࡢᐤ୚ࢆồࡵࡿᚲせࡀ࠶ࡿࠋࡇࡢࢲ࢖࢔ࢢ࣒ࣛࡢᏑᅾ࡟ࡼࡾࠊᔂቯ᣺ᖜ
ࡢ⤫ィㄗᕪࡀ㠀ᖖ࡟኱ࡁࡃ࡞ࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡓࠋࡇࡢィ⟬࡛ࡣࠊ࣍ࢵࣆࣥࢢᐃᩘᒎ㛤ἲ࡜୙᏶඲཰᮰ἲࢆ⏝࠸࡚ࠊ⤫ィᦂࡽࡂࢆᑠࡉࡃࡍࡿࡇ࡜࡟ᡂຌࡋࡓࠋᚓࡽࢀࡓ⤖ᯝ࡜ᐇ㦂್ࡣ௨ୗ࡛
࠶ࡿࠋ

-13-

⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

ReA2ࡀᐇ㦂್࡜኱ࡁࡃࡎࢀ࡚࠸ࡿࡀࠊࡇࢀࡣィ⟬ࡀᐇ㝿ࡢquark㉁㔞ࡼࡾ㔜࠸ᡤ࡛⾜ࢃࢀࡓⅭ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ㉁㔞౫Ꮡᛶࡣࠊ᭷ຠ⌮ㄽ࠿ࡽReA2Ӗ(mK)2ï(mȧ)2ࡢᙧࢆࡋ࡚࠸ࡿ࡜ண᝿ࡉࢀ
࡚࠾ࡾࠊࡇࢀࢆᐇ㝿࡟ᩘ್ィ⟬࡛☜࠿ࡵࡿࡇ࡜ࡀࠊ௒ᚋࡢㄢ㢟࡜ࡋ࡚ṧࡉࢀࡓࠋReA0ࡢ⤫ィㄗᕪࡣ࠸ࡲࡔ࡟኱ࡁ࠸ࡀࠊA0ࡢ್ࡀA2ࡼࡾ㠀ᖖ࡟኱ࡁࡃ࡞ࡿ࡜࠸࠺ƦI = 1/2๎ࡢ඙ೃࡀぢ࠼࡚࠸ࡿࠋ
CP㠀ಖᏑࣃ࣓࣮ࣛࢱ(ࣅĻ/ࣅ) ࡟㛵ࡋ࡚ࡣ⤫ィㄗᕪࡀ㠀ᖖ࡟኱ࡁࡃࠊィ⟬ࡢᨵၿࡀᚲせ࡛࠶ࡿࠋ⌧ᅾࠊ஧యȧ୰㛫Ꮚࡢ₇⟬ᏊࡢᨵⰋࢆ᳨ウ୰࡛࠶ࡿࠋ
࠙ࠚ ࢳ࣮࣒ࣕࣂࣜ࢜ࣥࡢ◊✲㸦⁥ᕝ㸧 ≀⌮Ⅼ┤ୖࡢ᱁ᏊQCDࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࠸ࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆྵࡴࣂࣜ࢜ࣥࡢ᳨ドཬࡧணゝࢆ୚࠼ࡓ㸦ㄽᩥ5㸧ࠋᮏィ⟬࡟ࡼࡾࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡ㸯ࡘࢆྵࡴࣂࣜ࢜ࣥ㉁㔞ࢫ࣌ࢡࢺࣝࡣ
ᐇ㦂್ࢆ෌⌧ࡍࡿ஦ࡀศ࠿ࡗࡓࠋ௚᪉ࠊࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆ㸰ࡘྵࡴࣂࣜ࢜ࣥȆccࡢ㉁㔞್ࡣࠊሗ࿌ࡉࢀ࡚࠸ࡿᐇ㦂್࡜᭷ព࡟␗࡞ࡗࡓࠋȆccࡢᐇ㦂್ࡣ㸯ࡘࡢᐇ㦂ࢢ࣮ࣝࣉ࠿ࡽࡋ࠿ሗ࿌ࡉࢀ࡚࠾
ࡽࡎࠊ௚ࡢᐇ㦂ࢢ࣮ࣝࣉ࡟ࡼࡿ᳨ド࡛ࡣ᪤Ꮡࡢᐇ㦂್௜㏆࡟ࢩࢢࢼࣝࡣⓎぢࡉࢀ࡚࠸࡞࠸ࠋᮏィ⟬ࡶࠊ௚ࡢᐇ㦂ྠᵝࠊ᪤Ꮡࡢᐇ㦂ሗ࿌್࡟␲⩏ࢆ࿊ࡋ࡚࠾ࡾࠊ௒ᚋࡢ᳨ドࡀᚅࡓࢀࡿࠋࡲࡓࠊࢳ
࣮࣒ࣕࢡ࢛࣮ࢡࢆ2ಶ࡞࠸ࡋ3ಶྵࡴȆcc௨እࡢᮍⓎぢࣂࣜ࢜ࣥ࡟ᑐࡍࡿ㉁㔞ணゝࡶ⾜ࡗࡓࠋ࠙ࠚ ᭷㝈ᗘ࣭᭷㝈ᐦᗘ QCD ࡢ◊✲㸦WHOT-QCD Collaboration㸸㔠㇂ࠊ㟷ᮌ㸧 㔠㇂ࡽࡣࠊ᪂₲኱ᏛỤᑼ෸ᩍᤵࠊᗈᓥ኱Ꮫᱵ⏣෸ᩍᤵࠊ⌮໬Ꮫ◊✲ᡤึ⏣୺௵◊✲ဨࠊி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤ㟷ᮌᩍᤵࡽ࡜ࡢඹྠ◊✲࡛ࠊ:LOVRQᆺࢡ࢛࣮ࢡ࡟ࡼࡿ᭷㝈ᗘ࣭ᐦᗘ4&'ࡢ◊✲ࢆᘬࡁ⥆ࡁ᥎㐍ࡋࡓࠋ㸦1㸧᭷㝈ᗘ࣭᭷㝈ᐦᗘ 2 ࣇ࣮ࣞࣂ࣮QCD ࡟࠾ࡅࡿ࢝࢖ࣛࣝ┦㌿⛣

 QCD ࡢ᭷㝈ᗘ࣭᭷㝈ᐦᗘ┦ᵓ㐀ࢆ◊✲ࡍࡿୖ࡛ࠊ㍍࠸ u,d ࢡ࢛࣮ࢡࡢࡳࢆᣢࡘ㸰ࣇ࣮ࣞࣂ࣮

QCD ࡢ࢝࢖ࣛࣝᴟ㝈㏆ഐࡢ┦㌿⛣ࡣ㔜せ࡞ᙺ๭ࢆᢸࡗ࡚ࡁࡓࠋ㏻ᖖ⪃࠼ࡽࢀ࡚ࡁࡓࢩࢼ࡛ࣜ࢜ࡣࠊ
ࢮࣟᗘ࡛㔞Ꮚຠᯝ࡛㝧࡟ቯࢀ࡚࠸ࡿ㍈ᛶ U(1)ᑐ⛠ᛶࡀ᭷㝈ࡑࡢ⤖ᯝࠊ㸰ࣇ࣮ࣞࣂ࣮QCD ࡢ᭷㝈ᗘ┦㌿⛣㏆ഐ࡛ࡶ༑ศᙉࡃቯࢀࠊᗘ┦㌿⛣ࡣ㸱ḟඖ O(4)ࢫࣆࣥ⣔࡜ྠࡌࣘࢽࣂ࣮ࢧࣜࢸ࢕

࣮࣭ࢡࣛࢫ࡟ᒓࡍࡿ㸰ḟ┦㌿⛣࡟࡞ࡿࠋᐇ㝿ࠊ⟃Ἴ኱ࡢࢢ࣮ࣝࣉࢆ୰ᚰ࡜ࡋࡓ㸦ᨵⰋ㸧Wilson ࢡ࢛࣮ࢡࢆ⏝࠸ࡓ୍㐃ࡢ◊✲࡟ࡼࡾࠊO(4)ࡢࢫࢣ࣮ࣜࣥࢢ㛵ᩘ࡜⮫⏺ᣦᩘ࡛㸰ࣇ࣮ࣞࣂ࣮QCD ࡢ࢝-14-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩࢖ࣛࣝจ㞟ࡢࢡ࢛࣮ࢡ㉁㔞࡜ᗘ౫Ꮡᛶࡀࡼࡃㄝ᫂ࡉࢀࡿࡇ࡜ࡀ♧ࡉࢀ࡚࠸ࡿࠋࡲࡓࢫࢱ࣮࢞

ࢻ࣭ࢡ࢛࣮ࢡࢆ⏝࠸ࡓ BNL-Bielefeld ࢢ࣮ࣝࣉࡢ◊✲࡛ࡶࠊQCD ࡀ O(4)ࢫࢣ࣮ࣜࣥࢢ࡟ᚑ࠺ࡇ
࡜ࡀሗ࿌ࡉࢀ࡚࠸ࡿࠋ௚᪉ࠊ㟷ᮌ࣭῝㇂࣭㇂ཱྀࡢ᭱㏆ࡢ◊✲࡟ࡼࡾࠊ㍈ᛶ U(1)ᑐ⛠ᛶࡀ㧗᭷ຠⓗ࡟ᅇ᚟ࡍࡿࡔࢁ࠺ࡇ࡜ࡀ㆟ㄽࡉࢀࡓࠋࡇࢀࡣࠊ㸰ࣇ࣮ࣞࣂ࣮QCD ࡢ᭷㝈┦࡛ᗘ┦㌿⛣ࡀ㸯ḟ㌿⛣࡛࠶ࡿྍ⬟ᛶࢆ♧၀ࡍࡿࠋࡋ࠿ࡋࠊࡑࡢሙྜࡢ࢝࢖࣭ࣛࣝࢫࢣ࣮ࣜࣥࢢࡣ O(4)࡜ࡣ኱ࡁࡃࡎ
ࢀࡿࡣࡎ࡛࠶ࡾࠊୖグࡢ⤖ᯝ࡜▩┪ࡍࡿࠋ ࡇࡢ◊✲࡛ࡣࠊ㸰ࣇ࣮ࣞࣂ࣮QCD ࡢ࢝࢖࣭ࣛࣝࢫࢣ࣮ࣜࣥࢢࢆ෌ᗘ᳨ドࡋࠊࡲࡓࡑࢀࢆ᭷㝈ᐦᗘ࡟ᣑᙇࡋࡓ㸦ᅗ 3ࠊㄽᩥ 6㸧ࠋ1634 ᱁Ꮚ࡜ 16324 ᱁Ꮚ࡛ mPS/mV|0.65 ࡜ 0.80 ࡟┦ᙜࡍࡿᩘⅬ࡛ࢩ࣑࣮ࣗࣞࢩࣙࣥࡋࠊ᭷㝈ᐦᗘຠᯝࡣࠊᡃࠎࡢ௨๓ࡢ◊✲࡜ྠᵝ࡟ࠊreweighting ಀᩘࡢホ౯࡟ Taylor ᒎ㛤ࢆ฼⏝ࡋࡓ reweighting ἲࢆ౑ࡗ࡚ィ⟬ࡋࡓࠋヲ⣽ࡣࠊㄽᩥ 6 ࡜ࡑࡢᘬ⏝ᩥ⊩ࢆཧ↷ࠋ໬Ꮫ࣏ࢸࣥࢩࣕࣝȣq ࡟ࡼࡿ࢝࢖ࣛࣝࡢ◚ࢀࡢຠᯝࡣࠊ᭱పḟ࡛ᗘ࡟ࡼࡿ◚ࢀࡢຠᯝ࡜ྠ

ࡌ࡛࠶ࡾࠊȣq/T ࡀᑠࡉ࠸㡿ᇦ࡟࠾ࡅࡿࢫࢣ࣮ࣜࣥࢢゎᯒ࡛ࡣࠊ᭷ຠ

ᗘኚᩘࢆ t=șïșc+c/2(ȣ㸦șࡣ᱁Ꮚୖࡢࢤ࣮ࢪ⤖ྜᐃᩘ࡛ࠊࢫࢣ࣮
q/T)2 ࡢࡼ࠺࡟⿵ṇࡍࡿࡇ࡜࡛྾཰࡛ࡁࡿ࡜ᮇᚅࡉࢀࡿࠋ
ࣝኚ᥮ࢆ㏻ࡌ࡚

ᗘࢆື࠿ࡍᙺ๭ࢆᯝࡓࡍࠋ㸧᭷㝈ᐦᗘ࡛ࡢࢫࢣ࣮ࣜࣥࢢࡢ᳨ドࡣࠊୖグࡢၥ㢟ࢆ⪃ᐹࡍࡿୖ࡛㠀⮬᫂࡞᝟ሗࢆᥦ౪ࡍࡿ࡜ᮇᚅࡉࢀࡿࠋࡉࡽ࡟ࠊࡇࡢ⿵ṇ࡟⌧ࢀࡿಀᩘ c ࡣࠊ᭷㝈ᗘ┦㌿⛣ࡀ᭷㝈ᐦᗘ࡛໬Ꮫ࣏ࢸࣥࢩࣕࣝ࡜࡜ࡶ࡟࡝ࡢᵝ࡟⛣ືࡍࡿ࠿ࢆỴࡵࡿࡶࡢ࡛࠶ࡾࠊ㧗࢚ࢿࣝࢠ࣮㔜࢖࢜ࣥ⾪✺ᐇ㦂࡟ࡼࡿࢡ࢛࣮ࢡ࣭ࢢ࣭ࣝ࢜ࣥࣉࣛࢬ࣐ࡢ⌧㇟ㄽⓗ◊✲࡟㔜せ࡛࠶ࡿࠋ ᅗ 3 ᕥᅗ࡟ࠊȣq/T<1 ࡟࠾ࡅࡿ࢝࢖ࣛࣝจ㞟ࡢ⤖ᯝࢆ♧ࡍࠋ᭤⥺ࡣ O(4)ࢫࣆࣥᶍᆺࡢࢫࢣ࣮ࣜ
ࣥࢢ㛵ᩘࠋᵝࠎ࡞ᗘࡸ໬Ꮫ࣏ࢸࣥࢩࣕࣝࠊࢡ࢛࣮ࢡ㉁㔞ࡢ⤖ᯝࢆ O(4)⮫⏺ᣦᩘࢆ౑ࡗ࡚෌⦅ࡍ

ࡿ࡜ࠊO(4)ࢫࣆࣥᶍᆺࡢࢫࢣ࣮ࣜࣥࢢ㛵ᩘࢆࡼࡃ෌⌧ࡍࡿࡇ࡜ࡀࢃ࠿ࡿࠋᅗ 3 ୰ኸ࡟ࠊ࢝࢖ࣛࣝ
จ㞟ࡢȣq/T ࡟㛵ࡍࡿ㸰ḟᚤศಀᩘࢆ♧ࡍࠋȣq/T<1 ࡢࢹ࣮ࢱࢆ(ȣq/T)2 ࡢ㸯ḟ㛵ᩘ࡛ࣇ࢕ࢵࢺࡋ࡚ホ౯ࡋࡓ㸦method 1㸧ࠋ᭤⥺ࡣࠊᵝࠎ࡞ c ࡢሙྜࡢ O(4)ࢫࢣ࣮ࣜࣥࢢ㛵ᩘࡢȣq/T ࡟㛵ࡍࡿ㸰ḟᚤศಀᩘࠋᚤศಀᩘࢆ┤᥋ホ౯ࡍࡿ᪉ἲ㸦method 2㸧࡛ࡶྠᵝࡢ⤖ᯝࢆᚓࡓࠋ┦㌿⛣Ⅼ㏆ഐ࡛ࡣ⤫ィㄗᕪࡸ⣔⤫ㄗᕪࡀࡲࡔ኱ࡁ࠸ࡀࠊ㧗㡿ᇦ㸦୺࡟ᅗࡢྑഃࡢࢹ࣮ࢱ㸧࡛ࡣ c|0.0290 ࡟ㄪᩚ㸦࣐ࢮࣥࢱࡢ᭤⥺㸧ࡍࢀࡤࡦ࡜ࡘࡢࣘࢽࣂ࣮ࢧࣝ࡞᭤⥺࡟஌ࡿഴྥࡀぢࡽࢀࡿࠋᅗ 3 ྑᅗࡣࠊࡑࢀࢆ
c ࡬ࡢࣇ࢕ࢵࢺ࡜ࡋ࡚⾲ࡋࡓࡶࡢ࡛ࠊ࣐ࢮࣥࢱࡢ⥺ࡀ c=0.0290 ࡛ࠊ㟷࠸⥺ࡀࠊ඲ࢹ࣮ࢱࡢᖹᆒ
c=0.0273(42)࡛࠶ࡿࠋࡇࢀ࠿ࡽࠊࣉ࣑ࣞࣜࢼࣜ࡞⤖ᯝ࡜ï(1/Tc)[d2Tc/d(ȣq/T)2] |0.05–0.06 ࢆᚓࡓࠋ ࡲࡔ㡿ᇦ࡟ࡼࡗ࡚⤫ィㄗᕪࡶ⣔⤫ㄗᕪࡶᑠࡉࡃ࡞࠸ࡀࠊ᭷ព࡞㡿ᇦࡢㄗᕪࡢ⠊ᅖ࡛ࠊ᭷㝈ᐦᗘ
࡛ࡶ QCD ࡢࢹ࣮ࢱࡀ O(4)ࢫࢣ࣮ࣜࣥࢢ࡜▩┪ࡋ࡞࠸ࡇ࡜ࡀࢃ࠿ࡗࡓࠋࣘࢽࣂ࣮ࢧࣜࢸ࢕࣮࣭ࢡ
ࣛࢫ࡟㛵ࡍࡿ᫂☜࡞⤖ㄽࢆᘬࡁฟࡍࡓࡵ࡟ࡣࠊࡇࡢ◊✲ࢆⓎᒎࡉࡏࠊ᱁Ꮚయ✚ࡸ᱁Ꮚ㛫㝸ࢆࢩࢫࢸ࣐ࢸ࢕ࢵࢡ࡟ኚ໬ࡉࡏ࡚ࢫࢣ࣮ࣜࣥࢢࡢᛶ㉁ࢆ☜ᐃࡍࡿᚲせࡀ࠶ࡿࠋ-15-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ᅗ3㸸㸰ࣇ࣮ࣞࣂ࣮QCDࡢ᭷㝈ᗘ࣭᭷㝈ᐦᗘ࢝࢖ࣛࣝ┦㌿⛣㏆ഐࡢࢫࢣ࣮ࣜࣥࢢ㸦ㄽᩥ6㸧㸸㸦ᕥᅗ㸧࢝࢖ࣛࣝจ㞟ࡢO(4)ࢫࢣ࣮ࣜࣥࢢࠋȣq/T<1ࡢ඲ࢹ࣮ࢱࡀ♧ࡉࢀ࡚࠸ࡿࠋㄗᕪࡢ኱ࡁ࡞ࢹ࣮ࢱ
ࡣȣq/Ta1ࡢࡶࡢࠋ᭤⥺ࡣO(4) ࢫࣆࣥᶍᆺࡢࢫࢣ࣮ࣜࣥࢢ㛵ᩘࠋ㸦୰ኸ㸧࢝࢖ࣛࣝจ㞟ࡢȣq/T࡟㛵ࡍࡿ㸰ḟᚤศಀᩘࠋmethod 1ࡢ⤖ᯝࠋȣq/T<1㸦ྑᅗ㸧ಀᩘcࠋ
㸦2㸧ࣄࢫࢺࢢ࣒ࣛἲ࡟ࡼࡿ㔜ࢡ࢛࣮ࢡ QCD ࡢ᭷㝈 ᭷㝈ᗘ࣭᭷㝈ᐦᗘ┦㌿⛣ᗘ࣭᭷㝈ᐦᗘQCDࡢ┦ᅗࢆุᐃࡍࡿ࠺࠼࡛ࠊほ㔞ࡢࣄࢫࢺࢢ࣒ࣛࡸࡑࡢᑐᩘ࡜ࡋ࡚ᐃ

⩏ࡉࢀࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࡣࠊ᭱ࡶ┤ឤⓗ࡞᝟ሗࢆᥦ౪ࡍࡿࡀࠊኚᩘࡢᗈ࠸㡿ᇦ࡛᭷ຠ࣏ࢸࣥࢩ
ࣕࣝࢆ⢭ᗘࡼࡃホ౯ࡍࡿᚲせࡀ࠶ࡾࠊ⤫ィⓗ࡟኱ࡁ࡞ㄢ㢟ࢆྵࢇ࡛࠸ࡿࠋ௚᪉ࠊ⣔ࡢࣃ࣓࣮ࣛࢱ
౫Ꮡᛶࢆㄪ࡭ࡿୖ࡛ᙉຊ࡞ᡭἲ࡛࠶ࡿreweightingἲ࡛ࡣࠊ⣔ࡢస⏝࡟⌧ࢀࡿ≀⌮㔞࡟㛵ࡍࡿࣄࢫࢺࢢ࣒ࣛࢆᚲࡎィ⟬ࡍࡿࠋᡃࠎࡣࠊࡇࢀࡽࡢ≀⌮㔞ࡢࣄࢫࢺࢢ࣒ࣛ࡜reweightingἲࢆ⤌ࡳྜࢃࡏࡿࡇ࡜࡟ࡼࡾࠊᵝࠎ࡞ࣃ࣓࣮ࣛࢱ࡟࠾ࡅࡿࣄࢫࢺࢢ࣒ࣛࢆࡘ࡞ࡂ࠶ࢃࡏࠊኚᩘࡢᗈ࠸㡿ᇦ࡛᭷ຠ࣏ࢸࣥࢩࣕࣝࢆ⢭ᗘࡼࡃホ౯ࡍࡿࡇ࡜࡟ࡼࡾࠊ┦㌿⛣ḟᩘࢆᐜ᫆࡟ุᐃࡍࡿゎᯒ᪉ἲ㸦ࠕࣄࢫࢺࢢ
࣒ࣛἲࠖ㸧ࢆ㛤Ⓨࡋࡓࠋࡑࡢ᭱ึࡢ᳨ド࡜ࡋ࡚ࠊ᪉ἲࡢࢸࢫࢺࢆවࡡ࡚ࠊࢡ࢛࣮ࢡࡀ㔜࠸㡿ᇦࡢ
QCDࡢ┦ᵓ㐀ࢆ◊✲ࡋࡓࠋ2011ᖺ࡟⾜ࡗࡓᐦᗘࢮ࡛ࣟࡢ◊✲ࢆⓎᒎࡉࡏ࡚ࠊከᩘⅬࡢࢩ࣑࣮ࣗࣞ
ࢩࣙࣥ⤖ᯝࢆ⤖ྜࡉࡏࡿmultipoint reweightingἲࢆ⏝࠸ࠊࡉࡽ࡟᭷㝈ᐦᗘ࡟ᣑᙇࡋ࡚ࠊQCDࡢ┦ᵓ㐀ࢆᑟ࠸ࡓ㸦ㄽᩥ7㸧ࠋ ࢡ࢛࣮ࢡࡀ㔜࠸㡿ᇦ࡛ࡣࠊࢡ࢛࣮ࢡࡀ㔜࠸ᴟ㝈࠿ࡽreweightingࡍࡿࡇ࡜࡟ࡼࡾࠊSU(3)⣧ࢤ࣮ࢪ⌮ㄽࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ࡜࣍ࢵࣆࣥࢢࣃ࣓࣮ࣛࢱᒎ㛤ࡀ㐺⏝ฟ᮶ࡿࠋࡇࡢ◊✲࡛ࡣࠊࣉࣛࢣࢵ
ࢺ㸦ࢤ࣮ࢪሙࡢ࢚ࢿࣝࢠ࣮ࡢ⮬⏤ᗘ࡟ᑐᛂࡍࡿ㸧࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࠊ࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ
㸦㔜࠸ࢡ࢛࣮ࢡࡢ࢚ࢿࣝࢠ࣮ࡢ⮬⏤ᗘ࡟ᑐᛂࡍࡿ㸧࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࠊཬࡧࠊ୧⪅ࡢ㸰㔜ศᕸ࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࢆࢩ࣑࣮ࣗࣞࢩࣙࣥ࡜multipoint reweightingἲ࡟ࡼࡾホ౯ࡋࡓࠋࢡ࢛࣮ࢡࡀ㔜࠸ᴟ㝈ࡢ㸯ḟ┦㌿⛣ࡣࠊࢡ࢛࣮ࢡࢆ㍍ࡃࡋࡓࡾᐦᗘࢆୖࡆࡿ࡞࡝ࡍࡿ࡜ࢡࣟࢫ
࣮࢜ࣂ࣮࡟ኚ໬ࡍࡿ࡜ᮇᚅࡉࢀ࡚࠸ࡿࠋ㸯ḟ┦㌿⛣㡿ᇦࡢ➃ࡢ㸰ḟࡢ⮫⏺Ⅼࡢ఩⨨ࢆࠊ᭷ຠ࣏ࢸ
ࣥࢩࣕࣝࡢ᣺ࡿ⯙࠸࠿ࡽ≉ᐃࡋࡓࠋ㸦ࢡ࢛࣮ࢡࡀ㍍࠸⌧ᐇⓗ࡞QCD ࡟࠾࠸࡚ࠊ≀⌮Ⅼࡢࢡࣟࢫ࣮࢜ࣂ࣮㌿⛣ࡀᐦᗘࡸࢡ࢛࣮ࢡ㉁㔞ࢆኚ໬ࡉࡏࡓ᫬࡟㸯ḟ┦㌿⛣࡟ኚ໬ࡍࡿ⮫⏺Ⅼࡢ≉ᐃࡣ⌧㇟ㄽ-16-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ⓗ࡟㔜せ࡛࠶ࡿࠋࡇࡢ◊✲ࡣࡑࡢࣔࢹࣝࢣ࣮ࢫ࡜ࡋ࡚⾜ࡗ࡚࠸ࡿࠋ㸧ᅗ4࡟ࠊࣉࣛࢣࢵࢺ࡜࣏ࣜ࢔
ࢥࣇ࣮ࣝࣉࡢ㸰㔜ศᕸ࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࡢഴࡁ࡟㛵ࡍࡿ⤖ᯝࢆ♧ࡋࡓࠋReweightingἲ࡟ࡼࡾࠊࢤ࣮ࢪ⤖ྜࣃ࣓࣮ࣛࢱࡸࢡ࢛࣮ࢡ㉁㔞ࢆື࠿ࡍ࡜ࠊ᭷ຠ࣏ࢸࣥࢩࣕࣝࡢഴࡁ࡟ࡑࢀࡒࢀ
࠶ࡿᐃᩘࡀຍࢃࡿࡇ࡜ࡀ♧ࡉࢀࡿࠋࡘࡲࡾࠊഴࡁ୍ᐃࡢ᭤⥺ࡣࠊูࡢࣃ࣓࣮ࣛࢱⅬ࡟࠾ࡅࡿഴࡁ
ࢮࣟࡢ᭤⥺࡜ㄞࡳ᭰࠼ࡿࡇ࡜ࡀ࡛ࡁࡿࠋ㸰ࡘࡢ᪉ྥࡢഴࡁࡀక࡟ࢮࣟࡢⅬࡣᏳᐃ࡞ᇶᗏ≧ែࡢ┦ࡸ‽Ᏻᐃ┦ࠊ࠾ࡼࡧࠊ㠡Ⅼ࡟┦ᙜࡍࡿࠋഴࡁࢮࣟࡢ᭤⥺ࡀ㸱Ⅼ࡛஺ᕪࡍࡿࣃ࣓࣮ࣛࢱⅬࡣ㸯ḟ┦㌿⛣㏆ഐ࡛࠶ࡾࠊࡑࢀࡀ㸯Ⅼࡔࡅ࡛஺ᕪࡍࡿࡼ࠺࡟࡞ࢀࡤࠊࡑࡢࣃ࣓࣮ࣛࢱⅬࡣࢡࣟࢫ࣮࢜ࣂ࣮
㡿ᇦ࡟᭷ࡿࠋࡑࢀࡽࡢ㡿ᇦࡢ➃ࡀ⮫⏺Ⅼ࡛࠶ࡿࠋ 㸱✀㢮ࡢ᭷ຠ࣏ࢸࣥࢩࣕࣝ࡟ࡼࡾィ⟬ࡉࢀࡓ⮫⏺Ⅼࡢ఩⨨ࡣ┦஫࡟ࢥࣥࢩࢫࢸࣥࢺ࡛ࠊࡑࢀࡽ
ࡢゎᯒࢆ⤌ࡳྜࢃࡏࡿࡇ࡜࡟ࡼࡾࠊ⮫⏺Ⅼࢆ㸦ࡇࡇ࡛ᑟධࡋࡓ㔜࠸ࢡ࢛࣮ࢡࡢ㏆ఝࡢ⠊ᅖ࡛㸧⢭ᗘࡼࡃ≉ᐃ࡛ࡁࡓࠋ࡞࠾ࠊ᭷㝈ᐦᗘࡢຠᯝ࡜ࡋ࡚ࡣࠊ᭷㝈ᐦᗘࡢࢡ࢛࣮ࢡ఩┦ࢆホ౯ࡋࡓ⤖ᯝࠊ
⮫⏺Ⅼࡢ఩⨨࡟㛵ࡋ࡚ࡣᴟࡵ࡚ᑠࡉ࠸ࡇ࡜ࡀ♧ࡉࢀࡓࠋࡇࡢᡂᯝࢆཷࡅ࡚ࠊࢡ࢛࣮ࢡࡀ㍍࠸㡿ᇦ
࡟࠾ࡅࡿQCD ࡢ᭷㝈ᐦᗘ┦ᵓ㐀ࡢゎ᫂࡟ྥࡅ࡚◊✲ࢆ㐍ࡵ࡚࠸ࡿࠋ

ᅗ4㸸ࣄࢫࢺࢢ࣒ࣛἲ࡟ࡼࡿࢡ࢛࣮ࢡࡀ㔜࠸㡿ᇦࡢQCD࡟࠾ࡅࡿ᭷㝈ᗘ┦ᵓ㐀ࡢ◊✲㸦ㄽᩥ7㸧ࠋ㸦ᕥ㸧ࣉࣛࢣࢵࢺ㸦ࢤ࣮ࢪሙࡢ࢚ࢿࣝࢠ࣮㸧࡜࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ㸦㔜࠸ࢡ࢛࣮ࢡࡢ࢚ࢿࣝࢠ࣮㸧࡟㛵ࡍࡿ᭷ຠ࣏ࢸࣥࢩࣕࣝࡢ࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ࡟㛵ࡍࡿᚤศ࡜ࠊ࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ᪉ྥࡢഴࡁ୍
ᐃࡢ⥺ࠋ㸦ྑ㸧๓㏙ࡢ᭷ຠ࣏ࢸࣥࢩࣕࣝ࡟࠾ࡅࡿࣉࣛࢣࢵࢺ᪉ྥ࡜࣏ࣜ࢔ࢥࣇ࣮ࣝࣉ᪉ྥࡢഴࡁ୍
ᐃࡢ⥺ࠋヲ⣽ࡣᮏᩥཧ↷ࠋ࠙ࠚ ᭷㝈ᐦᗘ QCD㸦⸝ቑࠊᏱᕝ㸧 ᭷㝈ᐦᗘQCD ◊✲ࡢࡓࡵ࡟ࡣࠊ㠀ࢮࣟ໬Ꮫ࣏ࢸࣥࢩࣕࣝ㡿ᇦ࡛ࡢ᱁ᏊQCDィ⟬ࡀᚲせ࡜࡞ࡿࡀࠊ໬Ꮫ࣏ࢸࣥࢩࣕࣝࡢᑟධࡣࠕ➢ྕၥ㢟ࠖࢆᘬࡁ㉳ࡇࡋ࡚ࡋࡲ࠺ࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿࠋ⸝ቑࠊ
Ᏹᕝࡣࠊ㔠ἑ኱ᏛṊ⏣ຓᩍࠊ⌮◊ィ⟬⛉Ꮫ◊✲ᶵᵓ㸦AICS㸧୰ᮧ◊✲ဨ࠾ࡼࡧJin≉ู◊✲ဨ࡜ࡢඹྠ◊✲ࡢࡶ࡜ࠊ⾜ิᘧࡢ㧗㏿ィ⟬ᡭἲࢆ㛤Ⓨࡋࠊreweightingἲࢆ⏝࠸࡚4 ࣇ࣮ࣞࣂ࣮᭷㝈ᐦ
ᗘQCD࡟ᑐࡋ࡚᭷㝈ࢧ࢖ࢬࢫࢣ࣮ࣜࣥࢢゎᯒࢆ⾜ࡗࡓࠋ4ࣇ࣮ࣞࣂ࣮QCD࡛ࡣࠊ࠶ࡿ᭷㝈ࡢࢡ࢛-17-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

࣮ࢡ㉁㔞㡿ᇦ࡟࠾࠸୍࡚ḟ┦㌿⛣ࢆ㉳ࡇࡍࡇ࡜ࡀᮇᚅࡉࢀ࡚࠸ࡿࡀࠊࡑࢀࢆ♧ࡏࡿ࠿ྰ࠿ࡣᡃࠎ
ࡢィ⟬ᡭἲࡢⰋ࠸࣋ࣥࢳ࣐࣮ࢡࢸࢫࢺ࡜࡞ࡿࠋࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥࡣࠊO(a)ᨵⰋࢆ᪋ࡋࡓ
Wilson-Cloverࢡ࢛࣮ࢡస⏝࡜Iwasakiࢤ࣮ࢪస⏝ࢆ᥇⏝ࡋࠊࠕ᫬㛫᪉ྥࠖࡢ᱁Ꮚࢧ࢖ࢬࢆ4࡟ᅛᐃࡋࠊ✵㛫᱁Ꮚࢧ࢖ࢬࢆV = 63ӳ103ࡲ࡛ኚ໬ࡉࡏࡓࠋPlaquetteࡸPolyakov loop࡞࡝ࡢᵝࠎ࡞≀⌮㔞࡟ᑐࡍࡿឤཷ⋡ࡢࣆ࣮ࢡࡢ㧗ࡉࡢV౫Ꮡᛶࢆㄪ࡭ࠊࡑࡢ౫Ꮡᛶࡀ⥺ᙧ࡛࠶ࡿࡇ࡜࠿ࡽࠊ୍ḟ┦㌿⛣࡛࠶ࡿࡇ࡜ࡢ☜ドࢆᚓࡓࠋࡇࢀࡣୡ⏺࡛ึࡵ࡚ࡢ᭷㝈ᐦᗘQCD࡟ᑐࡍࡿ᭷㝈ࢧ࢖ࢬࢫࢣ࣮ࣜ
ࣥࢢゎᯒࡢᛂ⏝࡛࠶ࡾࠊࡑࡢ᭷ຠᛶࢆᐇド࡛ࡁࡓព⩏ࡣ኱ࡁ࠸㸦ㄽᩥ8㸧ࠋḟࡢࢫࢸࢵࣉ࡜ࡋ࡚ࠊ
ᡃࠎࡣ3ࣇ࣮ࣞࣂ࣮᭷㝈ᐦᗘQCD࡟࠾ࡅࡿ⮫⏺⤊Ⅼ㸦Critical End Point㸧ࡢྠᐃィ⟬ࢆヨࡳࡓࠋ4ࣇ࣮ࣞࣂ࣮ࡢሙྜ࡜ྠࡌࢡ࢛࣮ࢡస⏝࡜ࢤ࣮ࢪస⏝ࢆ᥇⏝ࡋࠊࠕ᫬㛫᪉ྥࠖࡢ᱁Ꮚࢧ࢖ࢬࢆ6࡟ᅛᐃࡋࠊ✵㛫᱁Ꮚࢧ࢖ࢬࢆL3=83, 103, 123࡜ኚ໬ࡉࡏࡓࠋ໬Ꮫ࣏ࢸࣥࢩࣕࣝࢆȣ=0.1࡜ࡋ࡚ࠊȡ-ș㸦ࢡ࢛࣮ࢡ㉁㔞- ᗘ㸧ᖹ㠃ୖࡢ┦㌿⛣ࢆ⣔⤫ⓗ࡟ㄪ࡭ࠊ᭷㝈ࢧ࢖ࢬࢫࢣ࣮ࣜࣥࢢゎᯒᡭἲࡢ୍ࡘ
࡛࠶ࡿᑤᗘ㸦kurtosis㸧஺ཫἲ࡟ࡼࡗ࡚⮫⏺⤊Ⅼࡢ఩⨨ࢆỴᐃࡍࡿࡇ࡜࡟ᡂຌࡋࡓࠋᅗ5ࡣࠊ
Plaquetteࡢkurtosisࡢș౫Ꮡᛶ࡛࠶ࡾࠊ␗࡞ࡿL࡟ᑐᛂࡍࡿ⥺ࡢ஺Ⅼࡀ⮫⏺⤊Ⅼࢆ⾲ࡍ㸦ㄽᩥ9㸧ࠋ

ᅗ5㸸Plaquette࡟ᑐࡍࡿkurtosisࡢș౫Ꮡᛶࠋ␗࡞ࡿL࡟ᑐᛂࡍࡿ⥺ࡢ஺Ⅼࡀ⮫⏺⤊Ⅼࢆ⾲ࡍࠋ࠙ࠚ ᭷㝈ᗘ࡟࠾ࡅࡿ U(1)A ᑐ⛠ᛶ㸦㇂ཱྀ㸧 㸰ಶࡢࢡ࢛࣮ࢡࢆྵࡴNf=2 QCD࡟࠾࠸࡚ࠊSU(2)SU(2)ࡢ࢝࢖ࣛࣝᑐ⛠ᛶࡢ௚࡟࢔ࣀ࣐࣮ࣜ
࡛◚ࢀ࡚࠸ࡓU(1)Aᑐ⛠ᛶࡶ᭷㝈ᗘ࡛ᅇ᚟ࡍࡿྍ⬟ᛶࡀ㧗࠸ࡇ࡜ࡀඛ⾜◊✲࠿ࡽ᫂ࡽ࠿࡟࡞ࡗ

ࡓࠋ᫖ᖺᗘࡣNf=2 QCDࡢప࢚ࢿࣝࢠ࣮᭷ຠ⌮ㄽ࡛࠶ࡿ୰㛫Ꮚ᭷ຠ⌮ㄽࢆ⏝࠸ࡓ┦㌿⛣ḟᩘࡢ◊✲ࢆ㟷ᮌࠊ῝㇂୧Ặ࡜ඹ࡟⾜ࡗࡓࠋලయⓗ࡟ࡣࠊ᭷㝈ᗘ࡟࠾ࡅࡿ᭷ຠ⌮ㄽ࡜ࡋ࡚SU(2)SU(2)࢝࢖ࣛࣝᑐ⛠ᛶ࡜ඹ࡟U(1)Aᑐ⛠ᛶࢆಖᣢࡋ࡚࠸ࡿ⌮ㄽࢆᵓᡂࡋࠊᦤືᒎ㛤࡜ࣅᒎ㛤ࢆ⏝࠸࡚ồࡵࡓ⧞ࡾ㎸ࡳ⩌ࡢὶࢀ࠿ࡽチࡉࢀࡿ┦㌿⛣ࡢḟᩘࢆㄪᰝࡋࡓࠋ୰㛫Ꮚⓗ࡞㔞࡛᭩࠿ࢀࡓorder-18-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩parameterࡀ⇕ຊᏛⓗᴟ㝈࡛඲࡚ᾘ࠼ࡿࡼ࠺࡟ᵓᡂࡉࢀࡓ᭷ຠ⌮ㄽ࡟࠾࠸࡚ࡣࠊ⧞ࡾ㎸ࡳ⩌᪉⛬ᘧ࡟Ᏻᐃ࡞㉥እᅛᐃⅬࡀᏑᅾࡏࡎࠊNf=2 QCDࡢ┦㌿⛣ࡢḟᩘࡣ୍ḟ࡛࠶ࡿࡇ࡜ࡀᙉࡃ♧၀ࡉࢀࡿ㸦ㄽᩥ12㸧ࠋ࠙ࠚ ᱁Ꮚ QCD ࡟ࡼࡿࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲㸦HAL QCD Collaboration㸸㟷ᮌࠊ▼஭ࠊ᰿ᮧࠊబࠎᮌ㸧 㸰ࡘࡢ᰾Ꮚ㛫࡟ാࡃຊࠊ᰾ຊࡣࠊ୰㐲㊥㞳࡛ࡣᘬຊࠊ㏆㊥㞳࡛ࡣᙉ࠸᩺ຊ࡟࡞ࡿࡇ࡜ࡀᐇ㦂ⓗ࡟▱ࡽࢀ࡚࠸ࡿࡀࠊࡇࡢ᰾ຊࡢᛶ㉁ࠊ≉࡟᩺ຊⰺ࡜࿧ࡤࢀࡿ㏆㊥㞳࡛ࡢ᩺ຊࠊࢆ⌮ㄽⓗ࡟ᑟࡃࡇ࡜ࡣࠊ⣲⢏ᏊཎᏊ᰾≀⌮࡟ṧࡉࢀࡓ኱ၥ㢟ࡢ㸯ࡘ࡛࠶ࡿࠋ▼஭ࠊ᰿ᮧࠊబࠎᮌࡣࠊி㒔኱Ꮫᇶ♏
≀⌮Ꮫ◊✲ᡤ㟷ᮌᩍᤵࠊ⌮໬Ꮫ◊✲ᡤึ⏣୺௵◊✲ဨࡽ࡜HAL QCD Collaborationࢆ⤖ᡂࡋࠊ㸰᰾Ꮚ㛫ࡢἼື㛵ᩘ࠿ࡽ᰾Ꮚ㛫ࡢ࣏ࢸࣥࢩࣕࣝࢆᑟࡁฟࡍ࡜࠸࠺᪉ἲࢆᛂ⏝ࡋ࡚ࠊᵝࠎ࡞⢏Ꮚ㛫ࡢ࣏ࢸࣥࢩࣕࣝࢆ᱁ᏊQCDࡢᩘ್ࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥィ⟬ࡋ࡚ࡁࡓࠋㄽᩥ13࡛ࡣࠊ㸱యຊࢆHAL
QCDࡢ᪉ἲࢆ⏝࠸࡚ィ⟬ࡍࡿሙྜࠊࡑࡢ⌮ㄽⓗᇶ♏࡜࡞ࡿ㸱య㸦௨ୖ㸧ࡢNBSἼື㛵ᩘࡢ₞㏆ᙧ
࡜S⾜ิࡢ఩┦ᕪ࡜ࡢ㛵ಀࢆ᫂ࡽ࠿࡟ࡋࡓࡶࡢ࡛࠶ࡿࠋㄽᩥ14࡛ࡣࠊHAL QCDࡢ᪉ἲ࡛ồࡵࡽࢀࡓ࣏ࢸࣥࢩࣕࣝ࠿ࡽィ⟬ࡋࡓ఩┦ᕪ࡜Lüscher ࡢ᭷㝈య✚ἲ࡛ồࡵࡽࢀࡓ఩┦ᕪࡀⰋࡃ୍⮴ࡍ
ࡿ஦ࢆI=2ࡢȧȧᩓ஘ࡢሙྜ࡟♧ࡋࡓࠋㄽᩥ15ࡣࠊHAL QCDࡢ᪉ἲ࡛ᚓࡽࢀࡓ࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚᰾≀㉁ࡢ≧ែ᪉⛬ᘧࡸ୰ᛶᏊᫍࡢ᭱኱㉁㔞࡞࡝ࡢࢡ࢛࣮ࢡ㉁㔞౫Ꮡᛶࢆィ⟬ࡋࡓࡶࡢ࡛࠶ࡿࠋ
ㄽᩥ16࡛ࡣࠊHAL QCDࡢ᪉ἲࢆࢳ࣮࣒ࣕࢡ࢛࣮ࢡࢆྵࢇࡔ࣓ࢯࣥ㛫ࡢ┦஫స⏝࡟ᛂ⏝ࡋࠊ㸲యࢡ࢛࣮ࢡ≧ែࡢᏑᅾࡢྍ⬟ᛶࢆ◊✲ࡋࡓࠋ௨ୗ࡛ࡣࠊ▼஭ࠊ᰿ᮧࠊబࠎᮌࠊཬࡧ㟷ᮌᩍᤵࡢᏛ⏕࡛࠶ࡿᒣ⏣ࡢ2013ᖺᗘࡢ◊✲ᡂᯝࢆ⤂௓ࡍࡿࠋ
㸦1㸧᱁Ꮚ QCD ࡟ࡼࡿ཯ᑐ⛠ LS ຊ
 Momentum wall source࡜cubic groupࢆ㥑౑ࡋ࡚ࠊ᱁ᏊQCD࡟ࡼࡾࠊ㈇ࣃࣜࢸ࢕ࢭࢡࢱࡢࣁ࢖
࣌ࣟࣥຊ࡜཯ᑐ⛠LSຊࢆ◊✲ࡋࡓࠋ᱁ᏊQCDィ⟬࡟ࡣࠊCP-PACS/JLQCD⏕ᡂࡢflavor SU(3)limitࡢ2+1 flavorࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࡓࠋィ⟬ࡢ㒔ྜୖࠊflavor᪤⣙⾲⌧1ࢆ㝖࠸ࡓ27Պ10Պ10ӒՊ8⾲⌧࡟ࡘ࠸࡚ࡢ࣏ࢸࣥࢩࣕࣝࢆồࡵࠊࡑࢀࢆNƭ-Nƴ⤖ྜࢳࣕࣥࢿ࣏ࣝࢸࣥࢩࣕࣝࡢᙧ࡟ኚᙧࡋࡓࠋ
ࡇࡢẁ㝵࡛ࡣࠊ཯ᑐ⛠LSຊࡣᑐ⛠LSຊ࡟ẚ࡭࡚㠀ᖖ࡟ᑠࡉ࠸≀࡛࠶ࡗࡓࡀࠊNƴ sectorࢆ
integrate outࡍࡿࡇ࡜࡟ࡼࡗ࡚᭷ຠNƭ࣏ࢸࣥࢩࣕࣝࢆồࡵࡿࡇ࡜࡟ࡼࡗ࡚ࠊ཯ᑐ⛠LSຊࡣ኱ࡁࡃ࡞ࡗࡓࠋ⌧㇟ㄽⓗ࡟ࠊᑐ⛠LSຊ࡜཯ᑐ⛠LSຊࡢcancellationࡀᮇᚅࡉࢀ࡚࠾ࡾࠊᡃࠎࡢ⤖ᯝࡣࡇࢀ࡟ᑐࡋ࡚࣏ࢪࢸ࢕ࣈ࡛࠶ࡿࠋ
㸦2㸧୍⯡໬ࡉࢀࡓࣂࣜ࢜ࣥ㛫࣏ࢸࣥࢩࣕࣝࡢ㧗㏿ィ⟬ࢥ࣮ࢻࡢ㛤Ⓨ ≀⌮Ⅼ࡛ࡢ᱁ᏊQCD࡟ࡼࡿ㸦୍⯡໬㸧᰾ຊ࣏ࢸࣥࢩࣕࣝࡢᑟฟ࡟ഛ࠼࡚ࠊࡇࡢィ⟬ࡢᇶᮏ㒊ศ࡜࡞ࡿNambu-Bethe-Salpeter㸦NBS㸧Ἴື㛵ᩘࡢ᱁ᏊQCDィ⟬ࢆຠ⋡ࡼࡃ㧗㏿࡟⾜࠺ࡓࡵࡢ࢔
ࣝࢦࣜࢬ࣒ࡢ㛤Ⓨ୪ࡧ࡟ᐇ㝿࡟኱ᆺィ⟬ᶵ࡛㧗㏿࡟ືࡃࣉࣟࢢ࣒ࣛࡢ㛤Ⓨࢆ㐍ࡵࡓࠋ≀⌮Ⅼ࡟࡞-19-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ࡿ࡭ࡃ㏆࠸᱁ᏊQCDィ⟬࡛ࡣࠊࣇ࣮ࣞࣂ࣮SU(3)ᑐ⛠ᛶࡢ◚ࢀࢆ┤᥋ᢅ࠺ᚲせࡀ࠶ࡿࡓࡵࠊィ⟬ࡍࡿ࡭ࡁࢳࣕࢿࣝࡀ⭾኱࡟࡞ࡾࠊࡑࡢྛࢳࣕࢿࣝࡢィ⟬ࢆ⣔⤫ⓗ࡟ຠ⋡ࡼࡃ⾜࠺ࡇ࡜ࡀồࡵࡽࢀࡿࠋࡲࡓࠊࡇ࠺ࡋࡓィ⟬࡟ࡣ኱ᆺィ⟬ᶵࡢ౑⏝ࡀ୙ྍḞ࡛࠶ࡿࡓࡵࠊ኱ᆺィ⟬ᶵୖࡢィ⟬ຠ⋡ࡢྥୖࡣࠊ඲యࡢ◊✲ࡢ㐍ᤖࢆᕥྑࡍࡿ㔜せ࡞せ⣲࡛࠶ࡿࠋࡼࡾලయⓗ࡟ࡣࠊNBSἼື㛵ᩘࢆồࡵࡿ㝿ࡢᩘ್ィ⟬ࡢ୺せ㒊ศ㸦Wick contructionࢆィ⟬ࡍࡿ㒊ศ㸧ࡢ࢔ࣝࢦࣜࢬ࣒ࡢᢤᮏⓗ࡞ᩚഛࢆࡲࡎࡍࡍࡵࡓࠋ᰾Ꮚࡔࡅ࡛࡞ࡃࠊƭࡸƴࠊȆ࡞࡝ࠊࣁ࢖࣌ࣟࣥࢆྵࡴ」ᩘ㸦౛࠼ࡤ52ࢳࣕࢿࣝ㸧
ࡢNBSἼື㛵ᩘࢆࠊ୍ᗘࡢィ⟬࡛ྠ᫬࡟࠿ࡘຠ⋡ࡼࡃィ⟬ࡍࡿࡇ࡜ࡢ࡛ࡁࡿ࢔ࣝࢦࣜࢬ࣒ࢆ㛤Ⓨࡋࡓࠋࢡ࢛࣮ࢡ₇⟬Ꮚࡢෆ㒊⮬⏤ᗘ࡜ࣇ࢙࣑ࣝ⤫ィᛶ࡟㉳ᅉࡍࡿ₇⟬ࡢ⧞ࡾ㏉ࡋࡢᅇᩘࢆࠊ
unified contractionἲࡼࡾࡶᩘศࡢ୍⛬ᗘ࡟▷⦰ࡍࡿࡇ࡜࡟ᡂຌࡋࡓࠋࡇࡢ࢔ࣝࢦࣜࢬ࣒ࢆࠊC++
࡛᭩࠿ࢀࡓࣉࣟࢢ࣒ࣛ࡜ࡋ࡚ᐇ⿦ࡍࡿࡇ࡜࡟ࡶᡂຌࡋ࡚࠾ࡾࠊ᱁ᏊQCD ඹ㏻ࢥ࣮ࢻ㸦Bridge++㸧
࡜⤌ࡳྜࢃࡏ࡚ィ⟬ࡍࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿࠋ኱ᆺィ⟬ᶵ㸦BlueGene/Q㸧ୖ࡛ࠊศᩓ࣓ࣔࣜ⏝ࡢ୪ิฎ⌮㸦MPI㸧࡜ඹ᭷࣓ࣔࣜ⏝ࡢ୪ิฎ⌮㸦OpenMP㸧ࢆྠ᫬࡟฼⏝ࡋࡓࣁ࢖ࣈࣜࢵࢻ୪ิᐇ⾜ࡀྍ⬟࡛࠶ࡾࠊMPI୪ิᩘ࡜ࢫࣞࢵࢻ୪ิᩘࡢᵝࠎ࡞⤌ࡳྜࢃࡏ࡟࠾࠸࡚ࠊᏳᐃࡋ࡚ຠ⋡ࡼࡃィ⟬ࡀ⾜࠼ࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋ㸦3㸧ࣁ࢖࣌ࣟࣥ㛫┦஫స⏝ࡢ◊✲ࢫࢺࣞࣥࢪࢿࢫ(S)ࢆྵࡴࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲ࡣࠊࣂࣜ࢜ࣥ㛫ࡢ㏆㊥㞳᩺ຊࡢ㉳※ࢆ᫂ࡽ࠿࡟ࡍࡿୖ࡛㔜せ࡛࠶ࡿࠋబࠎᮌࡽࡣࠊHAL QCD Collaboration࡟ࡼࡿ࣏ࢸࣥࢩࣕࣝࡢᑟฟ᪉ἲࢆ
⏝࠸࡚ࠊȆȆ㛫࡟ാࡃ┦஫స⏝࡟ࡘ࠸࡚ࡢ◊✲ࢆ⾜ࡗࡓࠋࡇࡢ⣔ࡣNN⣔࡜ࣇ࣮ࣞࣂ࣮࡟㛵ࡋ࡚ඹᙺ㛵ಀ࡟࡞ࡗ࡚࠾ࡾࠊࣂࣜ࢜ࣥ㛫ຊࡢᑐ⛠ᛶࢆㄪ࡭ࡿ࠺࠼࡛㔜せ࡜࡞ࡗ࡚࠸ࡿࠋィ⟬ࡣPACS-CS
collaboration࡟ࡼࡗ࡚⏕ᡂࡉࢀࡓ2+1ࣇ࣮ࣞࣂ࣮ࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸ࠊȧ୰㛫Ꮚ㉁㔞ࡀ700MeV,
570MeV, 410MeV࡟ᑐᛂࡍࡿ3ࡘࡢ␗࡞ࡿࢡ࢛࣮ࢡ㉁㔞࡟ࡘ࠸࡚⤖ᯝࡢゎᯒࢆ⾜ࡗࡓࠋࡇࢀࡽࢆࡑ
ࢀࡒࢀEsb1, 2, 3࡜࿧ࡪࡇ࡜࡟ࡋࠊSU(3)ᑐ⛠ᛶࡢ◚ࢀࡶࡇࡢ㡰࡟኱ࡁࡃ࡞ࡗ࡚࠸ࡿ஦࡟ὀពࡍࡿࠋ
 ᅗ6ࡣࠊ‽ഛẁ㝵࡛ࡣ࠶ࡿࡀࠊEsb1, 2, 3ࡢࢤ࣮ࢪ㓄఩࡟ࡼࡾᚓࡽࢀࡓ1S0ࡢȆȆ㛫࣏ࢸࣥࢩࣕࣝ
㸦ᕥᅗ㸧࡜ࠊࡑࡢ࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚ィ⟬ࡉࢀࡓȆȆࡢᩓ஘఩┦ᕪࢆ♧ࡋ࡚࠸ࡿࠋࡇࡢᅗ࠿ࡽࠊ
ࢡ࢛࣮ࢡ㉁㔞ࡀ㍍ࡃ࡞ࡾࠊSU(3)ࡢ◚ࢀࡀ኱ࡁࡃ࡞ࡿ࡟ࡘࢀ࡚࣏ࢸࣥࢩࣕࣝࡢ㏆㊥㞳᩺ຊࡀᚎࠎ࡟
ᙉࡃ࡞ࡾࠊࡇࡢᙳ㡪࡛ᩓ஘఩┦ᕪࡀ᩺ຊⓗ࡟⛣ࡾኚࢃࡗ࡚࠸ࡃᵝᏊࢆ☜ㄆࡍࡿ஦ࡀฟ᮶ࡓࠋᅗ7ࡣࠊඛ࡯࡝࡜ྠᵝ࡟3S1ࡢȆȆ㛫࣏ࢸࣥࢩࣕࣝ㸦ᕥᅗ㸧࡜ࠊࡑࡢ࣏ࢸࣥࢩࣕࣝࢆ⏝࠸࡚ィ⟬ࡉࢀࡓȆȆࡢᩓ஘఩┦ᕪࢆ♧ࡋ࡚࠸ࡿࠋࡇࡇ࡛ࡣࠊ1S0ࡢሙྜ࡜஦࡞ࡾࠊᚓࡽࢀࡓ࣏ࢸࣥࢩࣕࣝࡣᙉ࠸᩺
ຊⓗ࡞ᛶ㉁ࢆ♧ࡍࡇ࡜ࡀศ࠿ࡗࡓࠋࡇࡢᛶ㉁ࡣᵓᡂᏊࢡ࢛࣮ࢡᶍᆺ࡛ண᝿ࡉࢀࡓᛶ㉁࡜୍⮴ࡋ࡚࠾ࡾࠊࣂࣜ࢜ࣥෆࡢࢡ࢛࣮ࢡ⮬⏤ᗘ࡟ࡼࡿࣃ࢘ࣜ᩺ຊࡢᏑᅾࢆ♧ࡋ࡚࠸ࡿ࡜ゝ࠼ࡿࠋࡲࡓࠊࡇࡢ
≧ែࡣࣇ࣮ࣞࣂ࣮10ḟඖ⾲⌧࡟ᒓࡋࠊNN⣔ࡢ㔜㝧Ꮚ≧ែࡀᒓࡍࡿ10 ḟඖ⾲⌧࡜ࡣඹᙺ㛵ಀ࡟࠶ࡿࡀࠊࡇࡢ⣔࡟ࡣ᮰⦡≧ែࡀᏑᅾࡋ࡞࠸஦ࡀ᫂ࡽ࠿࡜࡞ࡗࡓࠋ௒ᚋࡣࠊ௚ࡢ⣔࡟ࡘ࠸࡚ࡶゎᯒࢆࡍࡍࡵࠊ୰㛫Ꮚ஺᥮ᶍᆺ࡜ࡢᕪ␗ࢆ᫂ࡽ࠿࡟ࡋࡘࡘࠊ2ࣂࣜ࢜ࣥ⣔࡟࠾ࡅࡿ᮰⦡≧ែࡢ᭷↓࡞࡝ࢆ
-20-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ㄪ࡭ࡼ࠺࡜⪃࠼࡚࠸ࡿࠋ
3500

50
Esb3
Esb2
Esb1

120
3000

Esb3
Esb2
Esb1

100

60
40

2000

G [deg]V [MeV]

40

9;;;;

80
2500

20
1500

0
-20

30

20

1000
-40
0

500

0.5

1

1

1.5

1.5

2

10

0
0

0.5

2

0

2.5

0

r [fm]

1020
30
s - 2M ; [MeV]4050

ᅗ6㸸1S0ࢳࣕࣥࢿࣝ࡟࠾ࡅࡿȆȆ㛫ࡢ࣏ࢸࣥࢩࣕࣝ࡜ᩓ஘఩┦ᕪࠋ
3500

10
Esb3
Esb2
Esb1

120
3000

Esb3
Esb2
Esb1

100

9;;;;

80
60

0

40

2000

G [deg]V [MeV]

2500

5

20
1500

0
-20

-5

-10

1000
-40
0

500

0.5

1

1

1.5

1.5

2

-15

0

-20
0

0.5

2

5

2.5

r [fm]

10

15

20
25
30
s - 2M ; [MeV]

35

40

45

50

ᅗ7㸸3S1ࢳࣕࣥࢿࣝ࡟࠾ࡅࡿȆȆ㛫ࡢ࣏ࢸࣥࢩࣕࣝ࡜ᩓ஘఩┦ᕪࠋ
㸦4㸧Ȑ-Ȑࣂࣜ࢜ࣥ㛫┦஫స⏝ࡢ◊✲ƺࣂࣜ࢜ࣥࡣࠊࢡ࢛࣮ࢡᶍᆺࡢศ㢮࡟࠾ࡅࡿࣇ࣮ࣞࣂ࣮㸯㸮㔜㡯ࡢ࡞࠿࡛၏୍ᙉ࠸┦஫స⏝࡛Ᏻᐃ࡞ࣂ࡛ࣜ࢜ࣥ࠶ࡿࠋᒣ⏣ࡽࡣࠊƺ-ƺࡢ࣏ࢸࣥࢩࣕࣝࢆHAL QCD Collaboration࡟ࡼࡿ᰾ຊ࣏ࢸ
ࣥࢩࣕࣝࡢᑟฟ᪉ἲࢆ౑࠸ィ⟬ࡋࡓࠋ᫖ᖺ࡟ᘬࡁ⥆ࡁࠊࢡ࢛࣮ࢡᶍᆺࡢィ⟬࡛ᙉ࠸ᘬຊࡀ࠶ࡿ࡜
ண᝿ࡉࢀࡿࢺ࣮ࢱࣝࢫࣆࣥJ=0ࡢ≧ែࡢィ⟬ࢆ⾜ࡗࡓࠋ๓ᅇࡲ࡛ࡢィ⟬࡛ࡣࠊCP-PACS/JLQCD
Collaborationsࡀ⏕ᡂࡋࡓ2+1ࣇ࣮ࣞࣂ࣮ࡢ⌧ᐇࡼࡾ㔜࠸ࢡ࢛࣮ࢡ㉁㔞㸦ȧ୰㛫Ꮚ㉁㔞875MeV࡟ᑐᛂ㸧ࠊయ✚࡜ࡋ࡚ࡣ1㎶1.934(26)fmࡢࢤ࣮ࢪ㓄఩ࢆ⏝࠸࡚࠸ࡓࡀࠊ௒ᅇࡢィ⟬࡛ࡣࡼࡾయ✚ࡢ኱ࡁ࠸㸯㎶2.902(42)fmࡢPACS-CS Collaborationࡀ⏕ᡂࡋࡓࢤ࣮ࢪ㓄఩㸦ȧ୰㛫Ꮚ㉁㔞700MeV࡟ᑐᛂ㸧ࢆ⏝࠸ࡓࠋ⤖ᯝࡣ୰ᚰ࡟᩺ຊⰺࡀ࠶ࡾ୰㊥㞳࡟ࡣᘬຊ࣏ࢣࢵࢺࡀᏑᅾࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿
ࡿ㸦ᅗ8㸧ࠋ๓ᅇ࡜ྠᵝ࡟ᙉ࠸ᘬຊ࡛࠶ࡿࡇ࡜ࡣ㛫㐪࠸࡞࠸ࡀࠊ᮰⦡ࡍࡿ࠿࡝࠺࠿ࡣࢠࣜࢠࣜࡢ࣏
ࢸࣥࢩ࡛ࣕࣝ࠶ࡿࡢ࡛ࠊ௒ᚋࡶៅ㔜࡟ゎᯒࢆ㐍ࡵ࡚࠸ࡇ࠺࡜⪃࠼࡚࠸ࡿࠋ

-21-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩ᅗ8㸸J=0࡛࠶ࡿƺ-ƺ㛫ࡢ࣏ࢸࣥࢩࣕࣝV [MeV]ࠋᶓ㍈ࡣࣂࣜ࢜ࣥ㛫ࡢ㊥㞳r [fm]ࠋ
࠙ࠚ 㔜࠸ࢡ࢛࣮ࢡ࡟ᑐࡍࡿᨵⰋᆺࣇ࢙࣑ࣝ࢜ࣥస⏝㸦㉿㸧 KEKࢆ୰ᚰ࡜ࡋࡓJLQCD Collaboration࡛ࡣ㔜࠸ࢡ࢛࣮ࢡ⣔ࡢ⢭ᐦィ⟬࡟ྥࡅ࡚ࠊṧవ㉁㔞ࡢᑠࡉ࠸ࢻ࣓࢖࢛࣮ࣥ࢘ࣝࣇ࢙࣑ࣝ࢜ࣥస⏝ࢆ⏝࠸࡚⣽࠿࠸᱁Ꮚࡢ㓄఩⏕ᡂࡀ㐍ࡵࡽࢀ࡚࠸ࡿࠋࡑ
ࢀ࡜ᖹ⾜ࡋ࡚㐍ࡵࡽࢀ࡚࠸ࡿࡢࡀࠊ㉿ࡀᢸᙜࡋ࡚࠸ࡿ㔜࠸ࢡ࢛࣮ࢡࢆᢅ࠺ࡓࡵࡢᨵⰋᆺࣇ࢙࣑ࣝ
࢜ࣥస⏝ࡢ㛤Ⓨ࡛࠶ࡿࠋ㉿ࡣ㧗࢚ࢿࣝࢠ࣮ຍ㏿ჾᶵᵓࡢᶫᮏ┬஧ᩍᤵࠊ㔝⛅῟୍≉௵ຓᩍࡽ࡜ඹ
࡟ࠊࣈࣜࣝ࢔ࣥࣇ࢙࣑ࣝ࢜ࣥ࡜࿧ࡤࢀࡿ᪂ࡋ࠸ࢱ࢖ࣉࡢࣇ࢙࣑ࣝ࢜ࣥᐃᘧ໬࡟ὀ┠ࡋࠊࡇࡢ㞳ᩓ໬ㄗᕪࢆ๐ῶࡍࡿᨵⰋࢆ⾜ࡗࡓ㸦ㄽᩥ25㸧ࠋᨵⰋᆺࣇ࢙࣑ࣝ࢜ࣥࢆ⏝࠸ࡓศᩓ㛵ಀࡸᅛ᭷್ศᕸࡣ
㐃⥆⌮ㄽ࡟㏆࠸ᛶ㉁ࢆᣢࡗ࡚࠸ࡿࡇ࡜ࡀ᫂ࡽ࠿࡟࡞ࡗ࡚࠸ࡿࠋᅗ9ࡣࠊ⮬⏤ሙୖ࡛ࡢศᩓ㛵ಀࢆ♧ࡋ࡚࠸ࡿࠋ⥳ࡣ࢘࢕ࣝࢯࣥࣇ࢙࣑ࣝ࢜ࣥࠊ㟷ࡣࣈࣜࣝ࢔ࣥࣇ࢙࣑ࣝ࢜ࣥࠊ࣐ࢮࣥࢲࡣᨵⰋᆺࣈࣜ
ࣝ࢔ࣥࣇ࢙࣑ࣝ࢜ࣥࢆ⾲ࡍࠋᶓ㍈ࡣ㐠ື㔞ࠊ⦪㍈ࡣ㐠ື㔞ࢆ⾲ࡋ࡚࠾ࡾࠊྛࣇ࢙࣑ࣝ࢜ࣥస⏝࡟㛵ࡋ࡚㐠ື㔞ࡢ᪉ྥ(1,0,0), (1,1,0), (1,1,1)ࢆྠ᫬࡟ࣉࣟࢵࢺࡋ࡚࠸ࡿࠋࡲࡓࠊࢡ࢙ࣥࢳ㏆ఝ㓄఩
㸦 a=0.052ï0.099fm 㸧 ࢆ ⏝࠸ ࡓࢫࢣ ࣮ࣜ ࣥࢢࢸ ࢫࢺ ࢆⱥᅜ ࢧ࢘ ࢧࣥࣉ ࢺࣥ ኱Ꮫࡢ ࢢࣝ ࣮ࣉ
㸦UKQCD Collaboration㸧࡜ඹྠ࡛⾜ࡗ࡚࠾ࡾඹⴭㄽᩥࢆసᡂ୰࡛࠶ࡿࠋࡉࡽ࡟ࣈࣜࣝ࢔ࣥࣇ࢙
࣑ࣝ࢜ࣥࡸᨵⰋᆺࣇ࢙࣑ࣝ࢜ࣥస⏝ࡢᦤືⓗᛶ㉁ࢆㄪ࡭ࡿࡓࡵࠊ⡿ᅜBrookhaven National
Laboratory ࡢ Christoph Lehner Ặ ࡜ ඹ ྠ ࡛ PhySyHCAL 㸦 A PhysicsSystem based on
Hierarchical Computer Algebra㸧ࢆ⏝࠸ࡓ◊✲ࢆ㐍ࡵ࡚࠸ࡿࠋ

-22-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

FRQWLQXXP:LOVRQ%ULOORXLQ,PS%UL

(S












ᅗ9㸸⮬⏤ሙୖ࡛ࡢศᩓ㛵ಀࠋmqa=0.5ࠋ



S





࠙ࠚࢥࣥࣇ࢛࣮࣐ࣝ⌮ㄽࡢ◊✲㸦ྜྷỤ㸧ྜྷỤࡣࠊࢥࣥࣇ࢛࣮࣐ࣝ⌮ㄽࡢᩘ್ⓗ◊✲ࢆࠊᒾᓮ㸦⟃Ἴ኱Ꮫ࣭KEK㸧ࠊ▼ᕝ㸦ᗈᓥ኱Ꮫ㸧ࠊ୰ᒣ
㸦Caltech㸧࡜ඹྠ࡛⾜ࡗࡓࠋ๓ᖺᗘࡢࠊ᭷㝈࢝ࢵࢺ࢜ࣇࢆࡶࡘࢥࣥࣇ࢛࣮࣐ࣝ⌮ㄽࡢ┦ᵓ㐀ࡢゎ᫂࡟⥆ࡁࠊ
㸦a㸧᭷㝈᱁Ꮚࢧ࢖ࢬࡢNf = 7, 8, 12, 16 QCD ࡢࢥࣥࣇ࢛࣮࣐ࣝ㡿ᇦࡢ┿✵ࡣࠊ✵㛫᪉ྥࡢ࣏ࣜࣖࢥࣇࣛ࢖ࣥࡀ㠀⮬᫂࡞Z(3) twistedࡢ್ࢆྲྀࡿࡇ࡜㸦ㄽᩥ26㸧ࠊ㸦b㸧Nf = 2 QCD ࡢ㧗┦࡟ࡶࢥࣥࣇ࢛࣮࣐ࣝ㡿ᇦࡀᏑᅾࡍࡿࡇ࡜㸦ㄽᩥ27㸧ࠊ㸦c㸧Nf = 2 㧗࣐ࣝ㡿ᇦࡢ┦࡟᪊ࡅࡿࢥࣥࣇ࢛࣮

ᗘT/Tc࡜ࠊࢥࣥࣇ࢛࣮࣐ࣝ㡿ᇦࡢࣇ࣮ࣞࣂ࣮ᩘNf ࡟ࡣࠊ୰㛫Ꮚఏᦙ㛵ᩘࡢᑐᛂ㛵ಀࡀ࠶ࡿࡇ࡜㸦ㄽᩥ26㸧ࠊࢆ♧ࡋࡓࠋ࠙ࠚJLDG ࡢᨵⰋ࡜㐠⏝㸦ྜྷỤ㸧 ྜྷỤࡣࠊ᱁ᏊQCDࢹ࣮ࢱࢢࣜࢵࢻJLDGࡢᨵⰋࢆࠊᘓ㒊ࠊኳ➟(⟃Ἴ኱㟁Ꮚ᝟ሗ) ➼࡜⾜ࡗࡓࠋ୺࡞ᨵⰋࡣࠊ
㸦a㸧ி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤᣐⅬཬࡧ⌮໬Ꮫ◊✲ᡤோ⛉ຍ㏿ჾ◊✲ࢭࣥࢱ࣮ᣐⅬࡢ᪂タࠊ㸦b㸧HPCIඹ⏝ࢫࢺ࣮ࣞࢪ࣭JLDG 㐃ᦠࢩࢫࢸ࣒ࡢᵓ⠏㸦௬᝿⤌⧊⟶⌮ࢧ࣮ࣂᨵಟࢆྵ
ࡴ㸧ࠊ㸦c㸧┘どࢩࢫࢸ࣒Zabbixࡢᑟධࠊ࡞࡝࡛࠶ࡿࠋ ᩍ⫱ ཷ㈹ࠊእ㒊㈨㔠ࠊ▱ⓗ㈈⏘ᶒ➼࠙ࠚ እ㒊㈨㔠
1.

㟷ᮌៅஓ㸦௦⾲㸧ࠊ㧗ᛶ⬟ỗ⏝ィ⟬ᶵ㧗ᗘ฼⏝஦ᴗ㈝⿵ຓ㔠ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊࠕHPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠗ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀࠘ࠖ
ࠊ492,939,785෇

2.㔠㇂࿴⮳㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(B)(୍⯡)ࠊᖹᡂ21ᖺᗘ᥇ᢥࠊ
ࠕ≀⌮ⓗࢡ࢛࣮
ࢡ㉁㔞࡟࠾ࡅࡿ᭷㝈3.ᗘ࣭᭷㝈ᐦᗘ㹏㹁㹂ࡢ᱁Ꮚ◊✲ࠖࠊ3,o00༓෇㔠㇂࿴⮳㸦ศᢸ㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(A)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊ
ࠕ‫‮‬ᕝ࣭ᮅỌ࣭ᆏ⏣グᛕྐᩱ࠿ࡽศᯒࡍࡿ᪥ᮏࡢ⣲⢏Ꮚ≀⌮Ꮫ⪅ࡢ⣔㆕100ࠖࠊ1,300༓෇

-23-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩4.

▼ሯᡂே㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(B)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊ
ࠕ᱁ᏊQCD࡟ࡼࡿK୰㛫Ꮚᔂቯ᣺ᖜࡢ◊✲ࠖ
ࠊ2,900༓෇

5.

⸝ቑ჆ఙ㸦ศᢸ㸧ࠊᡓ␎ⓗ๰㐀◊✲᥎㐍஦ᴗ(CREST)ࠊᖹᡂ23ᖺᗘ᥇ᢥࠊ
ࠕ࣏ࢫࢺ࣌ࢱࢫࢣ࣮
ࣝ࡟ᑐᛂࡋࡓ㝵ᒙࣔࢹࣝ࡟ࡼࡿ㉸୪ิᅛ᭷್ゎᯒ࢚ࣥࢪࣥࡢ㛤Ⓨࠖࠊ1,428༓෇

6.

ᾋ⏣ᑦဢ㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ⱝᡭ◊✲(B)ࠊᖹᡂ24ᖺᗘ᥇ᢥࠊ
ࠕ≀⌮Ⅼ࡛ࡢ᱁Ꮚ
QCD+QEDᩘ್ィ⟬ࡢᐇ⌧࡜㝧ᏊⲴ㟁༙ᚄࡢィ⟬ࠖࠊ1,100༓෇

7.⁥ᕝ⿱௓㸦௦⾲㸧ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭ᇶ┙◊✲(C)ࠊᖹᡂ24ᖺᗘ᥇ᢥࠊ
ࠕ᱁Ꮚ㔞ᏊⰍຊᏛ࡟ࡼࡿᮍⓎぢࣁࢻࣟࣥ᥈⣴ࠖࠊ1,040༓෇

8.

᰿ᮧⱥඞ(௦⾲)ࠊ⛉Ꮫ◊✲㈝⿵ຓ㔠࣭᪂Ꮫ⾡㡿ᇦ◊✲(◊✲㡿ᇦᥦ᱌ᆺ)ࠊᖹᡂ25ᖺᗘ᥇ᢥࠊ
ࠕ᱁
ᏊQCD࡟ࡼࡿࣁ࢖࣌ࣟࣥ┦஫స⏝ࡢ◊✲࡜ࣁ࢖ࣃ࣮᰾࡬ࡢᒎ㛤ࠖࠊ1,040༓෇ ◊✲ᴗ⦼(1) ◊✲ㄽᩥA) ᰝㄞ௜ࡁㄽᩥ
1.

K. Sasaki, N. Ishizuka, M. Oka, T. Yamazaki, “Scattering lengths for two pseudoscalarmeson systems”, Phys. Rev. D89 (2014) ref. 054502.

2.

PACS-CS Collaboration: Y. Namekawa, S. Aoki, K.-I. Ishikawa, N. Ishizuka, K. Kanaya,
Y. Kuramashi, M. Okawa, Y. Taniguchi, A. Ukawa, N. Ukita, T. Yoshié, “Charmed
baryons at the physical point in 2+1 flavor lattice QCD”, Phys. Rev. D 87, No. 9 (2013) ref.
094512.

3.

H. Saito, S. Ejiri, S. Aoki, K. Kanaya, Y. Nakagawa, H. Ohno, K. Okuno, T. Umeda,“Histograms in heavy-quark QCD at finite temperature and density”, Phys. Rev. D 89,
No.3 (2014) ref. 034507.

4.

X.-Y. Jin, Y. Kuramashi, N. Nakamura, S. Takeda, and A. Ukawa, “Finite size scaling
study of Nf=4 finite density QCD on the lattice”, Phys. Rev. D88 (2013) ref. 094508.

5.

Y. Shimizu and Y. Kuramashi, “Grassmann Tensor Renormalization Group Approach to
One-Flavor Lattice Schwinger Model”, to be appeared in Phys. Rev. D.

6.

Sinya Aoki, Noriyoshi Ishii, Takumi Doi, Yoichi Ikeda, Takashi Inoue, “Asymptotic
behavior of Nambu-Bethe-Salpeter wave functions for multi-particles in quantum field
theories”, Phys. Rev. D88 (2013) ref. 014036.

-24-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

7.

T. Kurth, N. Ishii, T. Doi, S. Aoki and T. Hatsuda, “Phase shifts in I=2 ȧȧ-scatteringfrom two lattice approaches”, JHEP1312 (2013) ref. 015.

8.Takashi Inoue, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Noriyoshi Ishii,
Keiko Murano, Hidekatsu Nemura, Kenji Sasaki (HAL QCD collaboration), “Equation ofState for Nucleonic Matter and its Quark Mass Dependence from the Nuclear Force inLattice QCD”, Phys. Rev. Lett. 111 (2013) ref. 112503.

9.

Yoichi Ikeda, Bruno Charron, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Takashi Inoue,
Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki (HAL QCD
Collaboration), “Charmed Tetraquarks Tcc and Tcs from Dynamical Lattice QCD
Simulations”, Phys. Lett. B729 (2014) 85.

10. K.-I. Ishikawa, Y. Iwasaki, Yu Nakayama, T. Yoshié, “Global Structure of Conformal
Theories in the SU(3) Gauge Theory”, Phys. Rev. D89 (2014) ref. 114503.
11. K.-I. Ishikawa, Y. Iwasaki, Yu Nakayama, T. Yoshié, “Conformal Behavior in QCD”,
arXiv:1304.4345[hep-lat].

B) ᰝㄞ↓ࡋㄽᩥ
1.

S. Ueda S. Aoki, T. Aoyama, K. Kanaya, H. Matsufuru, S. Motoki, Y. Namekawa, H.
Nemura, Y. Taniguchi, N. Ukita, “Bridge++: an object-oriented C++ code for latticesimulations”, Proceedings of Science (Lattice 2013) ref. 412.

2.

T. Yamazaki, K.-I. Ishikawa, Y. Kuramashi, and A. Ukawa, “Multi-nucleon bound statesin Nf=2+1 lattice QCD”, Proceedings of Science (Lattice 2013) ref. 230.

3.

N. Ishizuka, K.-I. Ishikawa, A. Ukawa, T. Yoshié, “Calculation of KЍȧȧ decay
amplitudes with improved Wilson fermion”, Proceedings of Science (Lattice 2013) ref.
474.

4.

T. Umeda, S. Ejiri, K. Kanaya, Y. Maezawa, Y. Nakagawa, H. Ohno, H. Saito, S. Yoshida(WHOT-QCD Collaboration), “Scaling properties of the chiral phase transition in the low
density region of two-flavor QCD with improved Wilson fermions”, Proceedings of
Science (Lattice 2013) ref. 450.

-25-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

5.

S. Takeda, X.-Y. Jin, Y. Kuramashi, N. Nakamura, and A. Ukawa, “Finite size scaling
study for 3 and 4-flavor QCD with finite chemical potential”, Proceedings of Science(Lattice 2013) ref. 203.

6.X.-Y. Jin, Y. Kuramashi, N. Nakamura, S. Takeda, and A. Ukawa, “Zeros of QCD
partition function from finite density lattices”, Proceedings of Science (Lattice 2013) ref.
204.

7.

S. Aoki, H. Fukaya, and Y. Taniguchi, “1st or 2nd; the order of finite temperature phasetransition of Nf=2 QCD from effective theory analysis”, Proceedings of Science (Lattice2013) ref. 139.

8.

N. Ishii, “2+1 Flavor QCD Results of Nuclear Forces”, Few Body Syst. 54 (2013) 1071.

9.

N.Ishii for HAL QCD Collaboration, “Baryon-baryon Interactions from Lattice QCD,
Proceedings of Science (Chiral Dynamics 2012) ref. 025.

10. N.Ishii, K.Murano, H.Nemura, K.Sasaki for HAL QCD Collaboration, “Theanti-symmetric LS potential in flavor SU(3) limit from lattice QCD”, Proceedings of
Science (Lattice 2013) ref. 234.
11. H. Nemura for HAL QCD Collaboration, “Lambda N and Sigma N interactions fromlattice QCD, Proceedings of the 20th International IUPAP Conference on Few-Body
Problems in Physics, Few-Body Systems 54 (2013) 1223.
12. H. Nemura for HAL QCD Collaboration, “An Implementation of Hybrid C++ Code for the
Four-Point Correlation Function of Various Baryon-Baryon Systems, Proceedings of
Science (Lattice 2013) ref. 426.
13. K. Sasaki for HAL QCD Collaboration, “Studies of multi-strangeness baryonbayon
interactions from lattice QCD”, Proceedings of Science (Lattice 2013) ref. 233.
14. K. Sasaki for HAL QCD Collaboration, “Coupled channel approach to baryonbaryon
interactions with strangeness on the lattice”, to be appeared in Few-Body Systems.
15. M. Yamada, “Omega-Omega Interaction on the Lattice”, Proceedings of Science (Lattice2013) ref. 232.

-26-

⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩16. Y.-G. Cho, S. Hashimoto, J.I. Noaki, A. Jüttner and M. Marincovic, O(a2)-improved
actions for heavy quarks and scaling studies on quenched lattices, Proceedings of Science(Lattice 2013) ref. 255.

(2) ᅜ㝿఍㆟Ⓨ⾲A) ᣍᚅㅮ₇
1.

N. Ishii, ࠕLattice QCD approach to Nuclear Physicsࠖ, 13th International Conference on
Meson-Nucleon Physics and the Structure of the Nucleon (MENU2013) (Rome, Italy, Sep.
30-Oct. 4, 2013).

2.

N. Ishii, ࠕBaryon-baryon interaction from Lattice QCDࠖ, Lattice Field Theory on
multi-PFLOPS computers, German-Japanese Seminar 2013 (Regensburg, Germany, Nov.
6-8, 2013).

3.

Y. Kuramashi, ࠕLattice QCD ï From Quarks to Nuclei ïࠖ, University of Tsukuba andBeihang University Collaboration Meeting on Nuclear Physics (Tsukuba, Japan, Nov.
11-12, 2013).

4.

Y. Kuramashi, ࠕElementary Particle Physics in Future HPCࠖ, The 4th AICS
International Symposium (Kobe, Japan, Dec. 2-3, 2013).
B) ୍⯡ㅮ₇

1.

Tomoteru Yoshié, ࠕMetadata Working Group Reportࠖ, International Lattice Data Grid
19 (TV workshop hosted by INTF, Italy, May 5, 2013).

2.

K. Sasaki for HAL QCD Collaboration,ࠕLattice QCD approach to the strangeness S=ï2
two-baryon systemࠖ, THE 9TH INTERNATIONAL WORKSHOP ON THE PHYSICS OF
EXCITED NUCLEONS (Valencia, Spain, May 27 - 30, 2013).

3.

Y. Kuramashi, ࠕ2+1 Flavor Lattice QCD Simulation on K Computerࠖ, The XXXIInternational Symposium on Lattice Field Theory (Lattice 2013) (Mainz, Germany, Jul.
29-Aug. 3, 2013).

4.

Yusuke Taniguchi,ࠕ1st or 2nd; the order of finite temperature phase transition of Nf=2
QCD from effective theory analysisࠖ, The XXXI International Symposium on Lattice
Field Theory (Lattice 2013) (Mainz, Germany, Jul. 29-Aug. 3, 2013).

5.

Yong-Gwi Cho, ࠕO(a2)-improved actions for heavy quarks and scaling studies on
quenched latticesࠖ, The XXXI International Symposium on Lattice Field Theory (Lattice2013) (Mainz, Germany, Jul. 29-Aug. 3, 2013).
-27-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩

6.

Naruhito Ishizuka, ࠕCalculation of K ń ǑǑ decay amplitudes with improved Wilson
fermionࠖ, The XXXI International Symposium on Lattice Field Theory (Lattice 2013)(Mainz, Germany, Jul. 29-Aug. 3, 2013).

7.

T. Umeda, Y. Nakagawa, S. Aoki, H. Saito, K. Kanaya, H. Ohno, T. Hatsuda, S. Yoshida,
Y. Maezawa (WHOT-QCD Collaboration), ࠕScaling properties of the chiral phasetransition in the low density region of two-flavor QCD withimproved Wilson fermionsࠖ,The XXXI International Symposium on Lattice Field Theory (Lattice 2013) (Mainz,
Germany, Jul. 29-Aug. 3, 2013).

8.

Hana Saito (WHOT-QCD Collaboration), ࠕQCD phase transition at finite T and mu inthe heavy quark regionࠖ, The XXXI International Symposium on Lattice Field Theory(Lattice 2013) (Mainz, Germany, Jul. 29-Aug. 3, 2013).

9.

N. Ishii, K. Murano, H. Nemura, K. Sasaki for HAL QCD Collaboration,ࠕThe
anti-symmetric LS potential in flavor SU(3) limit from Lattice QCDࠖ, The XXXIInternational Symposium on Lattice Field Theory (Lattice 2013) (Mainz, Germany, Jul.
29-Aug. 3, 2013).

10. K. Sasaki for HAL QCD Collaboration, ࠕStudies of multi-strangeness baryonbayon
interactions from lattice QCDࠖ, The XXXI International Symposium on Lattice Field
Theory (Lattice 2013) (Mainz, Germany, Jul. 29-Aug. 3, 2013).
11. M. Yamada, ࠕOmega-Omega interaction on the Latticeࠖ, The XXXI International
Symposium on Lattice Field Theory (Lattice 2013) (Mainz, Germany, Jul. 29-Aug. 3,2013).
12. K. Sasaki for HAL QCD Collaboration,ࠕCoupled channel approach to baryonbaryon
interactions with strangeness on the latticeࠖ, The 22nd European Conference on Few
Body Problems in Physics (Krakow, Poland, Sep. 9-13, 2013).
13. H. Nemura for HAL QCD Collaboration, ࠕHypernuclei on the Latticeࠖ, ForthInternational Conference on Nuclear Fragmentation (NUFRA2013) (Kemer, Antalya,
Turkey, Sep. 29 - Oct. 6, 2013).
14. K. Sasaki for HAL QCD Collaboration, ࠕStrangeness S= ï2 baryon-baryon interactions
on the latticeࠖ, ECT* Conference: Strangeness in the Universe? Theoretical andexperimental progress and challenges (Trento, Itary, Oct. 21-25, 2013).
15. H. Nemura for HAL QCD Collaboration, ࠕRecent developments on LQCD studies ofnuclear forceࠖ, The Seventh International Symposium on Chiral Symmetry in Hadrons
and Nuclei (Beijing, China, Oct. 27-30, 2013).
-28-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩16. Yusuke Taniguchi,ࠕThe order of finite temperature phase transition of Nf=2 QCD from
effective theory analysisࠖ, German-Japanese Seminar 2013: Lattice Field Theory on
multi-PFLOPS computers (Regensburg, Germany, Nov. 6-8, 2013).
17. Tomoteru Yoshié, ࠕMetadata Working Group Reportࠖ, International Lattice Data Grid
21 (TV workshop hosted by CSSM, Australia, Dec. 13, 2013).
18. H. Nemura for HAL QCD Collaboration, ࠕStudy of hyperon potentials from 2+1 Lattice
QCDࠖ, The Third Korea-Japan on Nuclear and Hadron Physics at J-PARC (Incheon,
Korea, Mar. 20-21, 2014).
(3) ᅜෆᏛ఍࣭◊✲఍Ⓨ⾲A) ᣍᚅㅮ₇1.

▼஭⌮ಟࠕ᫬㛫┦㛵࡜✵㛫┦㛵ࠖ, ᪥ᮏ≀⌮Ꮫ఍2013ᖺ⛅Ꮨ኱఍㸦㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9
᭶20-23᪥㸧.

2.

⸝ቑ჆ఙࠕPACS-CS Project and beyondࠖ, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ㐀ࡢゎ᫂ࠖࡢࡲ࡜ࡵ࡜௒ᚋࢆㄒࡿ◊✲఍㸦㬆ᏊἨ, ᐑᇛ, 2013ᖺ12᭶

20-21᪥㸧.
3.

⁥ᕝ⿱௓ࠕ᱁ᏊQCD ࡟ࡼࡿ࣊ࣅ࣮ࣁࢻࣟࣥࠖ, ࠕ࣊ࣅ࣮ࢡ࢛࣮ࢡࣁࢻࣟࣥ࡜ཎᏊ᰾ࡢࢫ࣌
ࢡࢺࣝ࡜ᵓ㐀ࠖ◊✲఍㸦㧗࢚ࢿࣝࢠ࣮ຍ㏿ჾ◊✲ᶵᵓ, ࡘࡃࡤ, 2014ᖺ2᭶26-28᪥㸧.
B) ࡑࡢ௚ࡢⓎ⾲

1.

㇂ཱྀ⿱௓ࠕTwo flavor QCD ࡢ᭷㝈ᗘ┦㌿⛣ḟᩘࡢ᭷ຠ⌮ㄽ࡟ࡼࡿゎᯒࠖ, ᪥ᮏ≀⌮Ꮫ఍

2013ᖺ⛅Ꮨ኱఍(㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9᭶20-23᪥).
2.

▼஭⌮ಟ, ᮧ㔝ၨᏊ, ᰿ᮧⱥඞ, బࠎᮌ೺ᚿ for HAL QCD Collaborationࠕ᱁ᏊQCD ࡟ࡼࡿ཯ᑐ⛠LS ຊࠖ, ᪥ᮏ≀⌮Ꮫ఍2013ᖺ⛅Ꮨ኱఍(㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9᭶20-23᪥).

3.

ᖹ἟Ꮥ୍ᮁ, ▼஭⌮ಟ, ᒸ┿ࠕἼື㛵ᩘ➼౯࣏ࢸࣥࢩࣕࣝࡢᚤศᒎ㛤ࠖ, ᪥ᮏ≀⌮Ꮫ఍2013ᖺ⛅Ꮨ኱఍(㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9᭶20-23᪥).

4.

బࠎᮌ೺ᚿ for HAL QCD Collaborationࠕ᱁ᏊQCD ࡟ࡼࡿࣁ࢖࣌ࣟࣥ㛫࣏ࢸࣥࢩࣕࣝࡢᛶ㉁ࠖ, ᪥ᮏ≀⌮Ꮫ఍2013ᖺ⛅Ꮨ኱఍㸦㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9᭶20-23᪥㸧.

5.

㉿ᰤ㈗ࠕࣈࣜࣝ࢔ࣥࣇ࢙࣑ࣝ࢜ࣥࢆ⏝࠸ࡓ᱁Ꮚୖ࡛ࡢ㔜࠸ࢡ࢛࣮ࢡࡢᐃᘧ໬ࡢ㛤Ⓨࠖ, ᪥ᮏ≀⌮Ꮫ఍2013ᖺ⛅Ꮨ኱఍㸦㧗▱኱Ꮫ, 㧗▱, 2013ᖺ9᭶20-23᪥㸧.

6.

ྜྷỤ཭↷ࠕHPCI ඹ⏝ࢫࢺ࣮ࣞࢪ࣭JLDG 㐃ᦠࠖ, HPCIࢩࢫࢸ࣒฼⏝◊✲ㄢ㢟୰㛫ሗ࿌఍(ᮾி, 2013ᖺ10᭶3-4᪥).

-29-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩7.

▼ሯᡂேࠕ᱁ᏊQCD ࡟ࡼࡿඹ㬆≧ែࡢ◊✲ࠖ, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ㐀ࡢゎ᫂ࠖࡢࡲ࡜ࡵ࡜௒ᚋࢆㄒࡿ◊✲఍㸦㬆ᏊἨ, ᐑᇛ, 2013ᖺ

12᭶20-21᪥㸧.
8.ྜྷỤ཭↷ࠕLDG/JLDG ࡜HPCࠖ, ᪂Ꮫ⾡㡿ᇦࠕ⣲᰾Ᏹᐂ⼥ྜ࡟ࡼࡿィ⟬⛉Ꮫ࡟ᇶ࡙࠸ࡓ㔜ᒙⓗ≀㉁ᵓ㐀ࡢゎ᫂ࠖࡢࡲ࡜ࡵ࡜௒ᚋࢆㄒࡿ◊✲఍㸦㬆Ꮚ

9.

Ἠ, ᐑᇛ, 2013ᖺ12᭶20-21᪥㸧.

㇂ཱྀ⿱௓ࠕ1st or 2nd; the order of finite temperature phase transition of Nf=2 QCD from
effective theoryࠖ, ィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ㸦JICFuS㸧◊✲఍ࠕLattice QCD at finite
temperature and densityࠖ㸦㧗࢚ࢿࣝࢠ࣮ຍ㏿ჾ◊✲ᶵᵓ, ࡘࡃࡤ, 2014ᖺ1᭶20-22᪥㸧.

10. ྜྷỤ཭↷ࠕILDG/JLDG ࡢ㐍ᤖࠖ, HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝㸳ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖ඲యࢩ࣏ࣥࢪ࣒࢘㸦ᐩኈࢯࣇࢺ࢔࢟ࣂࣉࣛࢨ, ⛅ⴥཎ, 2014ᖺ3᭶3-4᪥㸧.
11. ▼஭⌮ಟ, ᮧ㔝ၨᏊ, ᰿ᮧⱥඞ, బࠎᮌ೺ᚿ, ஭ୖ㈗ྐ for HAL QCD Collaborationࠕ᱁Ꮚ
QCD ࡟ࡼࡿ཯ᑐ⛠LS ຊ(II)ࠖ, ᪥ᮏ≀⌮Ꮫ఍➨69ᅇᖺḟ኱఍㸦ᮾᾏ኱Ꮫ, ᖹሯ, 2014ᖺ3᭶
27-30᪥㸧.
12. ᰿ᮧⱥඞ for HAL QCD Collaborationࠕ᱁ᏊQCD࡟ࡼࡿ୍⯡໬᰾ຊ◊✲ࡢࡓࡵࡢ㧗㏿࢔ࣝࢦࣜࢬ࣒ࡢ᳨ウࠖ, ᪥ᮏ≀⌮Ꮫ఍➨69ᅇᖺḟ኱఍㸦ᮾᾏ኱Ꮫ, ᖹሯ, 2014ᖺ3᭶27-30᪥㸧.
(4) ⴭ᭩ࠊゎㄝグ஦➼ ␗ศ㔝㛫㐃ᦠ࣭ᅜ㝿㐃ᦠ࣭ᅜ㝿άື➼
1.ィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ
http://www.jicfus.jp/jp/

2.

High Performance Computing Infrastructure㸦HPCI㸧ᡓ␎ࣉࣟࢢ࣒ࣛ
http://www.jicfus.jp/field5/jp/

3.⌮໬Ꮫ◊✲ᡤ ィ⟬⛉Ꮫ◊✲ᶵᵓ㸦AICS㸧
http://www.aics.riken.jp/

4.International Lattice Data Grid (ILDG)
http://ildg.sasr.edu.au/Plone

5.

Japan Lattice Data Grid (JLDG)
http://www.jldg.org/jldg/, http://ws.jldg.org/QCDArchive/index.jsp ࢩ࣏ࣥࢪ࣒࢘ࠊ◊✲఍ࠊࢫࢡ࣮ࣝ➼ࡢ㛤ദᐇ⦼
1.

HPCI ᡓ␎ࣉࣟࢢ࣒ࣛศ㔝㸳ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖ/ィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ/ி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤ୺ദ,ࢧ࣐࣮ࢫࢡ࣮ࣝࠕࢡ࢛࣮ࢡ࠿ࡽ㉸᪂ᫍ⇿Ⓨࡲ࡛ࠖ–ᇶ♏≀⌮ࡢ⌮᝿࡬ࡢᣮᡓ–2013ᖺ8᭶20᪥-24᪥, ி㒔኱Ꮫᇶ♏≀⌮Ꮫ◊✲ᡤ, ி㒔-30-⟃Ἴ኱Ꮫィ⟬⛉Ꮫ◊✲ࢭࣥࢱ࣮ᖹᡂ  ᖺᗘᖺḟሗ࿌᭩2.

ィ⟬ᇶ♏⛉Ꮫ㐃ᦠᣐⅬ࣭HPCI ᡓ␎ࣉࣟࢢ࣒ࣛศ㔝5ࠕ≀㉁࡜Ᏹᐂࡢ㉳※࡜ᵓ㐀ࠖ୺ദ
HPCIᡓ␎ࣉࣟࢢ࣒ࣛศ㔝㸳඲యࢩ࣏ࣥࢪ࣒࢘,2014 ᖺ 3 ᭶ 4 ᪥-5 ᪥, ᐩኈࢯࣇࢺ࢔࢟ࣂࣉࣛࢨ 6 㝵ࢭ࣑ࢼ࣮࣮࣒ࣝ 1, ᮾி ⟶⌮࣭㐠Ⴀ
1.⸝ቑ჆ఙࠊ㐠Ⴀጤဨ఍ጤဨࠊ㐠Ⴀ༠㆟఍ጤဨ2.ྜྷỤ཭↷ࠊඹྠ◊✲㐠⏝ጤဨ఍ጤဨ

3.ྜྷỤ཭↷ࠊ⸝ቑ჆ఙࠊィ⟬ᶵࢩࢫࢸ࣒㐠⏝ጤဨ఍ጤဨ

♫఍㈉⊩࣭ᅜ㝿㈉⊩ࡑࡢ௚

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