nils-herrmann/clean_scirepeval huggingface dataset:
The long-distance contribution to the neutral K-mesons mass difference in QCD
The long-distance contribution to the K L -K S mass difference is calculated with the help of a QCD sum rules type method in the framework of the vacuum dominance hypothesis. The increase of the value of the mass difference is found to be in agreement with the experimental data.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
abstract: We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

title: The calculation of the leading ms corrections to the PCAC relation for the K-meson
abstract: We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
Two-dimensional Bose gas at low density
We propose a new method to describe the interacting bose gas at zero temperature. For three-dimensional system, the correction to the ground state energy in density is reproduced. For the two-dimensional dilute bose gas, the ground state energy in the leading order in the parameter |ln α2ρ|−1, where α is a two-dimensional scattering length, is obtained.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
abstract: We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: The calculation of the leading ms corrections to the PCAC relation for the K-meson
abstract: We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
The calculation of the leading ms corrections to the PCAC relation for the K-meson
We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
abstract: We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and Gaudin in the context of the problem of one-dimensional fermions with δfunction interaction.

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: FORMFACTORS OF SEMILEPTONIC DECAYS OF B- AND D-MESONS IN QCD

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
Decays D ---> K electron-neutrino, D ---> K* electron-neutrino, D ---> pi electron-neutrino in QCD sum rules method

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
abstract: We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

title: The calculation of the leading ms corrections to the PCAC relation for the K-meson
abstract: We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
abstract: We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and Gaudin in the context of the problem of one-dimensional fermions with δfunction interaction.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: FORMFACTORS OF SEMILEPTONIC DECAYS OF B- AND D-MESONS IN QCD

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
On the description of a two-dimensional Bose gas at low densities
We propose a new method to describe the interacting Bose gas at zero temperature. For the three-dimensional system the correction to the ground-state energy in density is reproduced. For a two-dimensional dilute Bose gas the ground-state energy in the leading order in the parameter mod ln p alpha 2 mod -1 where alpha is the scattering length is obtained.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
abstract: We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

title: The calculation of the leading ms corrections to the PCAC relation for the K-meson
abstract: We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
Form-factor of radiative pion decay in QCD
Axial form-factor of the radiative decay of charged pion is calculated using QCD sum rules method for non-diagonal correlator. For the ratio γ=FA(0)/FV(0) we find γ=0.6±0.15.

title: Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect

title: EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
abstract: We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

title: The calculation of the leading ms corrections to the PCAC relation for the K-meson
abstract: We use the operator product expansion for the calculation of the s-quark mass correction to the K-meson PCAC relation. The leading m s correction gives a large (about 50%) contribution tothe standard PCAC relation. We obtain also the value of the SU(3) symmetry breaking parameter for the quark vacuum condensates γ =0.46.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
abstract: We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction
CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS
We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

title: FORMFACTORS OF SEMILEPTONIC DECAYS OF B- AND D-MESONS IN QCD

title: BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS
abstract: We discuss the construction of the exactly solvable pairing models for bosons in the framework of the Quantum Inverse Scattering method. It is stressed that this class of models naturally appears in the quasiclassical limit of the algebraic Bethe ansatz transfer matrix. We propose the new pairing Hamiltonians for bosons, depending on the additional parameters. It is pointed out that the new class of the pairing models can be obtained from the fundamental transfer-matrix. The possible new application of the pairing models for confined bosons in the physics of helium nanodroplets is pointed out.

title: Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
abstract: We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and Gaudin in the context of the problem of one-dimensional fermions with δfunction interaction.

title: The Width of the Decay $\bar{B}0 \to \pi^+ e^- \bar{\nu}_e$ in {QCD}
abstract: The formfactor of the decay B 0 → π + e − v e is found in the physical region of the transverse momentum squared by means of the QCD sum ryles method. The full width of the decay is estimated. The results can serve as a basis for the determination of the Kobayashi-Maskawa matrix element for the b → u transition.

title: On the universal relations for the prefactors in correlation functions of 1D quantum liquids
abstract: For various one-dimensional quantum liquids in the framework of the Luttinger model (bosonization) we establish the relations between the coefficients before the power-law asymptotics of the correlators (prefactors) and the formfactors of the corresponding local operators. The derivation of these relations in the framework of the bosonization procedure allows to substantiate the prediction for the formfactors corresponding to the low-lying particle-hole excitations. We also obtain the formulas for the summation over the particle-hole states corresponding to the power-law asymptotics of the correlators.

title: Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction