119464625
BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS
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.
120562143
EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS
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.
121945975
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.
119314906
On the universal relations for the prefactors in correlation functions of 1D quantum liquids
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.
123429516
Nonrenormalization theorem in Chern-Simons theories and the fractional quantum Hall effect
115173175
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
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.
121005537
Homeopolar excitations in a one-dimensional system of spinless fermions with nonlocal interaction