4'U9岀‫׾‬欽ְ‫ٕٓ؎ؕ׋‬䠬「桦‫ך‬庠㹀8)052$%$PMMBCPSBUJPO꼛㜥䞙 ծ哅歊顜㡦ծ寐㽰⥋぀ծꆃ靼ㄤ荚 ծ⻌尶姻幠ծꈿ加麇 ծꈿ加⽆ծ靼〡酔➜瘰岚㣐ծ䎢䃊㣐ծ倜悻㣐ծ㣐ꢻ㣐ծ⛯䊜㣐/VNFSJDBM SFTVMUT
1×10−6

6×10−74×10−7SU (NF )R ⇥ SU (NF )L ⇥ U (1)V ⇥ U (1)A/dof < 10 5

2×10−7٥𝑡ָ㣐ְֹ‫כד׹ֿה‬如⟃♳‫ך‬㺔♷MBUUJDFBSUJGBDU‫ג׃ה‬1/𝑡‫ך‬㺔♷

8×10−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−74×10−72/dof < 10

2×10−7

0
1

2

3

4

5

6

0

1

2

3

/dof < 10 3

2×10−7

4

5

6

0

1

2

3

4×10−7−7

2<latexit sha1_base64="dcrRSoyV8YLD/Evj08b0Y7xi2ro=">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</latexit>

0

8×10

−7

Nt = 16(T = 174 MeV), scale µ02×10−7/dof < 0.01

6

1×10−6

4×10−720<latexit sha1_base64="2s6fXyU3/RdY4X0cSaj6BOkwuw8=">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</latexit>

5t/a

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−742

Nt = 16(T = 174 MeV), scale µ0

ud quark
linear fit
nonlinear fit
linear+log fit−72<latexit sha1_base64="Odm2z0Q2UJ6L57df2UJ4SfuILUM=">AAADBnichVJLaxRBEP4y8ZGsj6x6EXIZ3Kx4cVOzCSghh4AXj3m4SSCbLDOzvUmTeTHTu2Yz7MGb+Ady8KQgIoLoQbwKXvwDHvIT1GMELx6s7h0UDdFuprv6q/pqvqpuLwlkpogOR6zRU6fPnB0bL507f+HiRPnS5dUs7qa+aPhxEKfrnpuJQEaioaQKxHqSCjf0ArHm7d7R/rWeSDMZR/dUPxGbobsdyY70XcVQqzzZ9HfkVn26qcSeyttxZ2DP2w5t5TdnBq1yhWpkhn3ccAqjgmIsxuUvaKKNGD66CCEQQbEdwEXGcwMOCAljm8gZS9mSxi8wQIm5XY4SHOEyusvrNp82CjTis86ZGbbPfwn4S5lpo0qf6AUd0Ud6SZ/px4m5cpNDa+nz7g25ImlNPLq68v2/rJB3hZ3frH9qVujgttEqWXtiEF2FP+T39g+OVuaWq/l1ekpfWf8TOqQPXEHU++Y/WxLLjzl79URFCevos0f3Lyu6F7HnvulMaLRGfBc54x6fBqb7Wo1GdO0x9gqv7mT7V3U2plDh2Cnm6FniZ+D8fenHjdV6zZmp1ZdmKwuzxYMYwySu4QbnuoUF3MUiGqzuAZ7jNd5YD61X1lvr3TDUGik4V/DHsN7/BGi8r1g=</latexit>

1×10−6

Nt = 16(T = 174 MeV), scale µ0

2×10

4×10−7t/a1×10−6Qp
̔MJOFBS MPHGJU h(t) = a + bt +log( 8t)

6×10−72t/a8×10−7

ud quark
linear fit
nonlinear fit
linear+log fit

0

2

6×10

8×10−700٥䶏⹛锷‫ך‬넝如‫⸬ך‬卓‫ך‬鋅琎‫׶׮‬

4<latexit sha1_base64="QzKIAtP9iPWnHEAyaJpLaTlPKxY=">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</latexit>

connectedPPminusSS'MPX倯玎䒭

2<latexit sha1_base64="qL1jEL+YQpTlIUBLF7Xg7/oAO3c=">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</latexit>

connectedPPminusSS

NBTTMFTT 2$%‫ך‬劤勻䭯‫ֹץא‬㼎獥䚍ud quark
linear fit
nonlinear fit
linear+log fit

Nt = 16(T = 174 MeV), scale µ0
connectedPPminusSS<latexit sha1_base64="chAl9nq8G8xcvNcQtoTRZbwTbdk=">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</latexit>

8×10−7<latexit sha1_base64="nERuOQFtN0Yo+gcgdzX0aNX+aak=">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</latexit></BSBZBOBO/FVCFSHFS  -»TDIFS  >1×10−6
Nt = 16(T = 174 MeV), scale µ0

connectedPPminusSS㛇劤倯ꆙ٥𝑡ָ㼭ְׁ‫رך׹ֿה‬٦‫׾ة‬⢪ֲ̔𝑡‫ך‬如‫ד‬GJU f (t) = a + btd̔ꬊ简䕎GJU g(t) = a + bt + ct +t

(SBEJFOUGMPX

1×10−6
Nt = 16(T = 174 MeV), scale µ02

2$%湱鯄獳

8JOEPX‫׃ז‬

connectedPPminusSS𝑡 → 0噰ꣲconnectedPPminusSS

剣ꣲ庛䏝2$%‫ך‬湱鯄獳庛䏝‫ך‬庠㹀‫גְֶח‬䎢ֻ欽ְ‫ٕٓ؎ؕ׷ְג׸׵‬䠬「桦‫׾‬
HSBEJFOUGMPX‫ח‬㛇‫ֻב‬4'U9 4NBMM'MPXUJNFF9QBOTJPO 岀‫׾‬欽ְ‫ג‬庠㹀‫׷ׅ‬կ䖞勻‫ך‬灇瑔‫כד‬搀鋔ׁ‫׋׏֮ד׍ָ׸‬DPOOFDUFE‫؎تז‬،‫ךيؚٓ‬㺔♷‫׾‬ろ‫׋׭‬鍑匿‫ג׏״ח‬溪‫ٕٓ؎ؕך‬䠬「桦‫ך‬鐰⣣‫׾‬湡涸‫׷ְג׃ה‬կ‫׋ת‬ծ 𝑈 1 & 䠬「桦‫ך‬庠㹀‫׮‬遤ֲկ劤灇瑔‫כד‬ծ4'U9岀‫׷ֶֽח‬倜‫؛أְ׃‬٦ٕ‫ך‬㼪Ⰵ‫ח׸׉ה‬さ‫׶״גׇ׻‬ꞿְGMPXUJNF‫ךד‬庠㹀‫׾‬遤ֲֿ‫דה‬ծֿ‫ךדת׸‬鍑匿‫ד‬植‫׋ְג׸‬禸窟铎䊴‫׾‬幾‫׃׵‬ծ‫׶״‬礵䏝‫ך‬葺ְ鍑匿‫׾הֿ׷ׅ׾‬湡涸‫׷ְג׃ה‬կ

8×10

−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−74×10−72/dof < 1<latexit sha1_base64="OfnSXpcVOAfyLMGBqm3jAdI3+F8=">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</latexit>

2×10−70/dof < 0.1<latexit sha1_base64="r1yAAVO5cTK1C/Pj6CyvXgMJs8E=">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</latexit>

BOPNBMZ

SU (NF )V∼ 8t<latexit sha1_base64="Z2QAiK072vmPBq830N5UZfoa2/M=">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</latexit>2@t (t, x) = D (t, x)@t ¯(t, x) = ¯(t, x)D 2

㜥‫⸬ׅ׭ז׾‬卓<latexit sha1_base64="QPCyM40t+ZW9rmVFniHS1JRpzfg=">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</latexit><latexit sha1_base64="CLlWO5gPh20ypFJN3l6EOgJJi9o=">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</latexit>-JOFBSXJOEPX‫ג׏װֲו׾‬寸‫׷׭‬⚥꟦֮‫ך׶׋‬ˑ‫וֲ׳׍‬葺ְ˒‫׾׹ֿה‬䱱ׁ‫ְזְֽהְז‬̔简䕎GJU‫ * 𝜒ך‬/dof‫׾‬DVU PGG‫ג׃ה‬XJOEPX‫ⵖ׾‬ꣲ‫׷ׅ‬կ

1

2

3

4

5

⌦

⌦

( ¯f

( ¯f

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f)
f)

2

2

↵

↵

⌦

disc

¯f

↵2

f

+

4NBMMGMPXUJNFFYQBOTJPO

✳挿ꟼ侧

⌦

( ¯f

f)

2

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⌦

( ¯f

f)

2

格⼦正則化

他の正則化
flow

フローした
演算⼦
↵

disc

⌦

¯f

f

↵2

Flowした場からは⾃然にUV発散が取り除かれる
正則化によらない演算⼦が得られる♧挿ꟼ侧‫דֽ׌‬鍑匿‫׷ֹד‬կֿ‫ⵃֻ״׮דת׸‬欽ׁ‫׋ֹג׸‬կ⌦¯f(✳挿ꟼ侧‫ך‬㺔♷f)<latexit sha1_base64="EGJp//dDkV6lbQEp3/zcGdAWv4A=">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</latexit>‫ٕٓ؎ؕךٕؿ‬䠬「桦<latexit sha1_base64="kzKnW5ErwFRrL3n5Wm/HJ+mM364=">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</latexit>

2

↵

4

5

0

6

1

2

8×10

−7

4

5

conn ‫׮‬ろ‫׋׭‬full
f ‫ך‬庠㹀‫׾‬遤ֲ

4'U9NFUIPE

1×10−6
Nt = 16(T = 174 MeV), scale µ0

4×10−72×10−7

2

8×10

−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−72

4×10−7/dof < 100<latexit sha1_base64="6xP9/7m7nAnJg6xMQJXBl1gFf0c=">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</latexit>

2×10−7/dof < 100<latexit sha1_base64="KciZUQwaeYB4I2Al9zn5rzH/9XA=">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</latexit>

0

1

2

3

4

5

6

0

1

2

2

3

4

5

2

t/a

t/a

ؕ؎ٕٓ䠬「桦
3×10

−7

χfull
ud Scale µ02×10−7

1×10−70100

200
T (MeV)300

1×10−7
9×10−88×10−87×10−8
6×10−85×10−84×10−83×10−82×10−81×10−8

χdisc
ud Scale µ0

0

400

100

200
T (MeV)300

400

tA + t2 B + . . .
Z GF!MS (t)OGF (t) = OMS + O(t)<latexit sha1_base64="WhTno5RRv/U0Nx6vuHEh7vRQcjE=">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</latexit><latexit sha1_base64="WlMiduDvcbbHX/oy1ss+1yL3cPk=">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</latexit>

GF schemeからMS schemeへのmatching factor

Ntp
中間スケール µ (t) ⇠ 1/ tp
µd = 1/ 8t<latexit sha1_base64="g79By3BBH0gRSHpx2KmX6u0t5WA=">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</latexit><latexit sha1_base64="qr5pDdf2pEt39ZQRYOXZvMOSuN4=">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</latexit>

T [MeV]

𝑡(/*

56

0

24.5

16

174

8

14

199

6.125

12

232

4.5

Suzuki(2013) で導⼊された。GFで⾃然なスケール。

pµ0 = 1/ 2t e E

279

3.125

8

348

2

ud Scale µ0

1.5×10

1×10−75×10−8

ud Scale µd
ud Scale µ0−71×10−75×10−8<latexit sha1_base64="sbqGNWDip/ChjzBTZmXO+KvGK0I=">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</latexit>

Harlandar-Kluth-Lange(2018) で提案された。
摂動計算で現れる定数を打ち消すように定義している。
µ0 ⇠ 1.5µd なので、摂動領域の振る舞いが改善される期待。
<latexit sha1_base64="ErC+90w0YwjFSoEfNVfrn38sVXA=">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</latexit>10

2×10−7

1.5×10−70PP−SS

N, = 2 + 1 2$%*XBTBLJ /1DMPWFS
β = 2.05 a ∼ 0.07 GN
m7 /m8 ∼ 0.63 m;<< / m= ∼ 0.74٥呓㶨꟦ꥫ‫♧כ‬挿‫׫ך‬٥V ERVBSL‫כ‬IFBWZ٥TRVBSL‫רקכ‬QIZTJDBM

2×10−7PP−SS-BUUJDF4FUVQ

6t/aud quark
linear fit
nonlinear fit
linear+log fit

6×10−732

Nt = 16(T = 174 MeV), scale µ00次元正則化, etc.…

conn

flow

disc
=
f

3

<-»TDIFS8FJT[  4V[VLJ  >( ⼀点関数 )2

EJTDPOOFDUFEؕ؎ٕٓ䠬「桦

2

1×10−6'MPXׁ‫׋ׇ‬㜥‫כח‬67涪侔ָ‫ְז‬֮‫׷‬珏‫ؗأ׫ֿ׶ֻך‬٦‫׷ׇז׫הي‬chiral susceptibility<latexit sha1_base64="grJvJ/4vFS31pK+laJtEPbYt8ZM=">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</latexit>

full
=
f

1

t/a2

⟎䟝儗꟦ t 倯ぢ‫ךפ‬如⯋‫ך‬䭁侔倯玎䒭chiral susceptibilityؕ؎ٕٓ䠬「桦0

t/a<latexit sha1_base64="A690AsVE8rAiELkeY8Ek4nU3rgs=">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</latexit>

剣ꣲ庛䏝‫ך׵׸ֿכד‬㼎獥䚍ָ㔐䗁‫׷ְג׃‬62connectedPPminusSSؕ؎ٕٓ湱鯄獳

@t Bµ (t, x) = D⌫ Gµ⌫ (t, x)0

connectedPPminusSS荈涪涸㼎獥䚍‫ך‬灶‫׸‬<latexit sha1_base64="KmoRxjuSxSPhhWhYiu0D6IQQtKc=">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</latexit>

0

0
0

100

200
T (MeV)

300

400

0

100

200
T (MeV)

300

400

6

4'U9岀‫׾‬欽ְ‫ٕٓ؎ؕ׋‬䠬「桦‫ך‬庠㹀8)052$%$PMMBCPSBUJPO꼛㜥䞙 ծ哅歊顜㡦ծ寐㽰⥋぀ծꆃ靼ㄤ荚 ծ⻌尶姻幠ծꈿ加麇 ծꈿ加⽆ծ靼〡酔➜瘰岚㣐ծ䎢䃊㣐ծ倜悻㣐ծ㣐ꢻ㣐ծ⛯䊜㣐/VNFSJDBM SFTVMUT
1×10−6

6×10−74×10−7SU (NF )R ⇥ SU (NF )L ⇥ U (1)V ⇥ U (1)A/dof < 10 5

2×10−7٥𝑡ָ㣐ְֹ‫כד׹ֿה‬如⟃♳‫ך‬㺔♷MBUUJDFBSUJGBDU‫ג׃ה‬1/𝑡‫ך‬㺔♷

8×10−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−74×10−72/dof < 10

2×10−7

0
1

2

3

4

5

6

0

1

2

3

/dof < 10 3

2×10−7

4

5

6

0

1

2

3

4×10−7−7

2<latexit sha1_base64="dcrRSoyV8YLD/Evj08b0Y7xi2ro=">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</latexit>

0

8×10

−7

Nt = 16(T = 174 MeV), scale µ02×10−7/dof < 0.01

6

1×10−6

4×10−720<latexit sha1_base64="2s6fXyU3/RdY4X0cSaj6BOkwuw8=">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</latexit>

5t/a

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−742

Nt = 16(T = 174 MeV), scale µ0

ud quark
linear fit
nonlinear fit
linear+log fit−72<latexit sha1_base64="Odm2z0Q2UJ6L57df2UJ4SfuILUM=">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</latexit>

1×10−6

Nt = 16(T = 174 MeV), scale µ0

2×10

4×10−7t/a1×10−6Qp
̔MJOFBS MPHGJU h(t) = a + bt +log( 8t)

6×10−72t/a8×10−7

ud quark
linear fit
nonlinear fit
linear+log fit

0

2

6×10

8×10−700٥䶏⹛锷‫ך‬넝如‫⸬ך‬卓‫ך‬鋅琎‫׶׮‬

4<latexit sha1_base64="QzKIAtP9iPWnHEAyaJpLaTlPKxY=">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</latexit>

connectedPPminusSS'MPX倯玎䒭

2<latexit sha1_base64="qL1jEL+YQpTlIUBLF7Xg7/oAO3c=">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</latexit>

connectedPPminusSS

NBTTMFTT 2$%‫ך‬劤勻䭯‫ֹץא‬㼎獥䚍ud quark
linear fit
nonlinear fit
linear+log fit

Nt = 16(T = 174 MeV), scale µ0
connectedPPminusSS<latexit sha1_base64="chAl9nq8G8xcvNcQtoTRZbwTbdk=">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</latexit>

8×10−7<latexit sha1_base64="nERuOQFtN0Yo+gcgdzX0aNX+aak=">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</latexit></BSBZBOBO/FVCFSHFS  -»TDIFS  >1×10−6
Nt = 16(T = 174 MeV), scale µ0

connectedPPminusSS㛇劤倯ꆙ٥𝑡ָ㼭ְׁ‫رך׹ֿה‬٦‫׾ة‬⢪ֲ̔𝑡‫ך‬如‫ד‬GJU f (t) = a + btd̔ꬊ简䕎GJU g(t) = a + bt + ct +t

(SBEJFOUGMPX

1×10−6
Nt = 16(T = 174 MeV), scale µ02

2$%湱鯄獳

8JOEPX‫׃ז‬

connectedPPminusSS𝑡 → 0噰ꣲconnectedPPminusSS

剣ꣲ庛䏝2$%‫ך‬湱鯄獳庛䏝‫ך‬庠㹀‫גְֶח‬䎢ֻ欽ְ‫ٕٓ؎ؕ׷ְג׸׵‬䠬「桦‫׾‬
HSBEJFOUGMPX‫ח‬㛇‫ֻב‬4'U9 4NBMM'MPXUJNFF9QBOTJPO 岀‫׾‬欽ְ‫ג‬庠㹀‫׷ׅ‬կ䖞勻‫ך‬灇瑔‫כד‬搀鋔ׁ‫׋׏֮ד׍ָ׸‬DPOOFDUFE‫؎تז‬،‫ךيؚٓ‬㺔♷‫׾‬ろ‫׋׭‬鍑匿‫ג׏״ח‬溪‫ٕٓ؎ؕך‬䠬「桦‫ך‬鐰⣣‫׾‬湡涸‫׷ְג׃ה‬կ‫׋ת‬ծ 𝑈 1 & 䠬「桦‫ך‬庠㹀‫׮‬遤ֲկ劤灇瑔‫כד‬ծ4'U9岀‫׷ֶֽח‬倜‫؛أְ׃‬٦ٕ‫ך‬㼪Ⰵ‫ח׸׉ה‬さ‫׶״גׇ׻‬ꞿְGMPXUJNF‫ךד‬庠㹀‫׾‬遤ֲֿ‫דה‬ծֿ‫ךדת׸‬鍑匿‫ד‬植‫׋ְג׸‬禸窟铎䊴‫׾‬幾‫׃׵‬ծ‫׶״‬礵䏝‫ך‬葺ְ鍑匿‫׾הֿ׷ׅ׾‬湡涸‫׷ְג׃ה‬կ

8×10

−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−74×10−72/dof < 1<latexit sha1_base64="OfnSXpcVOAfyLMGBqm3jAdI3+F8=">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</latexit>

2×10−70/dof < 0.1<latexit sha1_base64="r1yAAVO5cTK1C/Pj6CyvXgMJs8E=">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</latexit>

BOPNBMZ

SU (NF )V∼ 8t<latexit sha1_base64="Z2QAiK072vmPBq830N5UZfoa2/M=">AAACwXichVHLSt1QFF2mD1+1XttJoZPg5YpCueyIoBRapArt0NdVwSshSY96MI9DcnLxNvgD/YB24MhCB+IvtKPS0h9w4CeUDhWcOHAnNyAq6g7JWWftvXbWOdtVvkw00XGX8eDho8fdPb19/U8Gng5Whp4tJ1Eae6LhRX4Ur7pOInwZioaW2herKhZO4Ppixd2eyfMrLREnMgqXdFuJ9cDZDOWG9BzNlF2hpnJiLR3f1uY7uxmk5qh+Ze6MmSNvzFm7GabmeztjmtEuZ3bG7EqV6lSEeRNYJaiijLmo8hNNfEQEDykCCITQjH04SPhZgwWCYm4dGXMxI1nkBXbRx9qUqwRXOMxu83eTd2slG/I+75kUao//4vMbs9JEjY7ogE7oLx3SPzq/tVdW9Mi9tHl1O1qh7MHPLxbP7lUFvGpsXaru9KyxganCq2TvqmDyU3gdfevT15PF1wu1bIS+0X/2v0/H9ItPELZOve/zYmGPu9dudaTYR5sz+f0l+e3xsKzro7kJlsfrFtWt+Ynq9NtybD14iWGM8mwmMY0PmEODe37BD/zGH2PGkIYy4k6p0VVqnuNKGNkFrTCkAg==</latexit>2@t (t, x) = D (t, x)@t ¯(t, x) = ¯(t, x)D 2

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1

2

3

4

5

⌦

⌦

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f)
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2

2

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disc

¯f

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4NBMMGMPXUJNFFYQBOTJPO

✳挿ꟼ侧

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2

<latexit sha1_base64="EGJp//dDkV6lbQEp3/zcGdAWv4A=">AAACy3ichVFNa9RQFD1Nq9b60aluBDfBYaRuhptSsBQpBTduhH44baGpIYlvZh7NF++9GZimWbrxD7hwo4IL8Te4EqQ73bjoTxCXFdy48CYTEC3VG5J33rn33Jz3bpBFUhui4wlrcurc+QvTF2cuXb5ydbYxd21LpwMVik6YRqnaCXwtIpmIjpEmEjuZEn4cRGI72L9f5reHQmmZJo/MKBN7sd9LZFeGvmHKayy7keiae/a8G/gqdzMtCy/vFnaJSnDn8YLtKtnrmxUvd2Pf9FWch2mSFIXXaFKbqrBPA6cGTdSxljbew8UTpAgxQAyBBIZxBB+an104IGTM7SFnTjGSVV6gwAxrB1wluMJndp+/Pd7t1mzC+7KnrtQh/yXiV7HSRou+0Fs6oSN6R1/p55m98qpH6WXEazDWisybfXZj88d/VTGvBv3fqn96NuhiqfIq2XtWMeUpwrF+ePD8ZHN5o5Xfptf0jf2/omP6wCdIht/DN+ti4wV3b53pKGMfI86U96fL2+NhOX+P5jTYWmg71HbWF5urK/XYpnETtzDPs7mLVTzAGjrc8yU+4hM+Ww8tbR1Yh+NSa6LWXMcfYT39BUIPquo=</latexit>↵<latexit sha1_base64="JgjsU3iLs7Ls35Olzcq7K52jvVU=">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</latexit>

⌦

( ¯f

f)

2

格⼦正則化

他の正則化
flow

フローした
演算⼦
↵

disc

⌦

¯f

f

↵2

Flowした場からは⾃然にUV発散が取り除かれる
正則化によらない演算⼦が得られる♧挿ꟼ侧‫דֽ׌‬鍑匿‫׷ֹד‬կֿ‫ⵃֻ״׮דת׸‬欽ׁ‫׋ֹג׸‬կ⌦¯f(✳挿ꟼ侧‫ך‬㺔♷f)<latexit sha1_base64="EGJp//dDkV6lbQEp3/zcGdAWv4A=">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</latexit>‫ٕٓ؎ؕךٕؿ‬䠬「桦<latexit sha1_base64="kzKnW5ErwFRrL3n5Wm/HJ+mM364=">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</latexit>

2

↵

4

5

0

6

1

2

8×10

−7

4

5

conn ‫׮‬ろ‫׋׭‬full
f ‫ך‬庠㹀‫׾‬遤ֲ

4'U9NFUIPE

1×10−6
Nt = 16(T = 174 MeV), scale µ0

4×10−72×10−7

2

8×10

−7

ud quark
linear fit
nonlinear fit
linear+log fit

6×10−72

4×10−7/dof < 100<latexit sha1_base64="6xP9/7m7nAnJg6xMQJXBl1gFf0c=">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</latexit>

2×10−7/dof < 100<latexit sha1_base64="KciZUQwaeYB4I2Al9zn5rzH/9XA=">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</latexit>

0

1

2

3

4

5

6

0

1

2

2

3

4

5

2

t/a

t/a

ؕ؎ٕٓ䠬「桦
3×10

−7

χfull
ud Scale µ02×10−7

1×10−70100

200
T (MeV)300

1×10−7
9×10−88×10−87×10−8
6×10−85×10−84×10−83×10−82×10−81×10−8

χdisc
ud Scale µ0

0

400

100

200
T (MeV)300

400

tA + t2 B + . . .
Z GF!MS (t)OGF (t) = OMS + O(t)<latexit sha1_base64="WhTno5RRv/U0Nx6vuHEh7vRQcjE=">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</latexit><latexit sha1_base64="WlMiduDvcbbHX/oy1ss+1yL3cPk=">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</latexit>

GF schemeからMS schemeへのmatching factor

Ntp
中間スケール µ (t) ⇠ 1/ tp
µd = 1/ 8t<latexit sha1_base64="g79By3BBH0gRSHpx2KmX6u0t5WA=">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</latexit><latexit sha1_base64="qr5pDdf2pEt39ZQRYOXZvMOSuN4=">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</latexit>

T [MeV]

𝑡(/*

56

0

24.5

16

174

8

14

199

6.125

12

232

4.5

Suzuki(2013) で導⼊された。GFで⾃然なスケール。

pµ0 = 1/ 2t e E

279

3.125

8

348

2

ud Scale µ0

1.5×10

1×10−75×10−8

ud Scale µd
ud Scale µ0−71×10−75×10−8<latexit sha1_base64="sbqGNWDip/ChjzBTZmXO+KvGK0I=">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</latexit>

Harlandar-Kluth-Lange(2018) で提案された。
摂動計算で現れる定数を打ち消すように定義している。
µ0 ⇠ 1.5µd なので、摂動領域の振る舞いが改善される期待。
<latexit sha1_base64="ErC+90w0YwjFSoEfNVfrn38sVXA=">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</latexit>10

2×10−7

1.5×10−70PP−SS

N, = 2 + 1 2$%*XBTBLJ /1DMPWFS
β = 2.05 a ∼ 0.07 GN
m7 /m8 ∼ 0.63 m;<< / m= ∼ 0.74٥呓㶨꟦ꥫ‫♧כ‬挿‫׫ך‬٥V ERVBSL‫כ‬IFBWZ٥TRVBSL‫רקכ‬QIZTJDBM

2×10−7PP−SS-BUUJDF4FUVQ

6t/aud quark
linear fit
nonlinear fit
linear+log fit

6×10−732

Nt = 16(T = 174 MeV), scale µ00次元正則化, etc.…

conn

flow

disc
=
f

3

<-»TDIFS8FJT[  4V[VLJ  >( ⼀点関数 )2

EJTDPOOFDUFEؕ؎ٕٓ䠬「桦

2

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full
=
f

1

t/a2

⟎䟝儗꟦ t 倯ぢ‫ךפ‬如⯋‫ך‬䭁侔倯玎䒭chiral susceptibilityؕ؎ٕٓ䠬「桦0

t/a<latexit sha1_base64="A690AsVE8rAiELkeY8Ek4nU3rgs=">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</latexit>

剣ꣲ庛䏝‫ך׵׸ֿכד‬㼎獥䚍ָ㔐䗁‫׷ְג׃‬62connectedPPminusSSؕ؎ٕٓ湱鯄獳

@t Bµ (t, x) = D⌫ Gµ⌫ (t, x)0

connectedPPminusSS荈涪涸㼎獥䚍‫ך‬灶‫׸‬<latexit sha1_base64="KmoRxjuSxSPhhWhYiu0D6IQQtKc=">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</latexit>

0

0
0

100

200
T (MeV)

300

400

0

100

200
T (MeV)300

400

6