12 citations · 59 across the 18 of their papers we have counts for
18 papers
Lattice local integrable regularization of the Sine-Gordon model
A. A. Ovchinnikov
We study the local lattice integrable regularization of the Sine-Gordon model written down in terms of the lattice Bose-operators. We show that the local spin Hamiltonian obtained…
Threshold singularities in the XXZ- spin chain
A. A. Ovchinnikov
We calculate the critical exponents of the threshold singularity for the spectral density of the XXZ- spin chain at zero magnetic field for the lower threshold. We show that the co…
Threshold singularities in the correlators of the one-dimensional models
A. A. Ovchinnikov
We calculate the threshold singularities in one-dimensional models using the universal low-energy formfactors obtained in the framework of the non-linear Luttinger liquid model. We…
Baxter Q- operator and functional relations
A. A. Ovchinnikov
We obtain the Baxter Q-operators in the invariant integrable models as a special limits of the quantum transfer matrices corresponding to different spins in the a…
On the particle excitations in the XXZ- spin chain
A. A. Ovchinnikov
We continue to study the excited states for the XXZ- spin chain corresponding to the complex roots of the Bethe Ansatz equations with the imaginary part equal to . We propose…
On the asymptotic expansion of the correlators in the XX spin chain
A. A. Ovchinnikov
Using the XX- spin chain as an example we show that in general the asymptotic expansion of the correlator at large distances is not given by the sum over the low-lying particle-hol…
On the universal relations for the formfactors in 1D quantum liquids
A. A. Ovchinnikov
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 asymptot…
On the universal relations for the prefactors in correlation functions of 1D quantum liquids
A. A. Ovchinnikov
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 asymptot…
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
A. A. Ovchinnikov
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…
Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas
A. A. Ovchinnikov
We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of various correlators including the exponential ones in the inpenetrable one-dimensiona…
On the exactly solvable pairing models for bosons
An. A. Ovchinnikov
We propose the new exactly solvable model for bosons corresponding to the attractive pairing interaction. Using the electrostatic analogy, the solution of this model in thermodynam…
Determination of the mass of the LambdaLambda dibaryon by the method of QCD sum rules
S. A. Larin, V. A. Matveev, A. A. Ovchinnikov +1
The method of QCD sum rules is used to calculate the mass of a hypothetical stable dihyperon H with the quantum numbers of two Lambda hyperons, whose existence was predicted by R.L…
Formfactors and functional form of correlators in the XX spin chain
A. A. Ovchinnikov
We present the new expressions for the formfactors of local operators for the XX - quantum spin chain as a Cauchy determinants. Using the known functional form of the correlator at…
Exactly solvable discrete BCS - type Hamiltonians and the Six-Vertex model
A. A. Ovchinnikov
We propose the new family of the exactly solvable discrete state BCS - type Hamiltonians based on its relationship to the six-vertex model in the quasiclassical limit both in the r…
Asymptotics and functional form of correlators in the XX - spin chain of finite length
A. A. Ovchinnikov
We verify the functional form of the asymptotics of the spin - spin equal - time correlation function for the XX-chain, predicted by the hypothesis of conformal invariance at large…
The emergence of charged collective modes from a large N extrapolation of the Hubbard model
D. Foerster, A. A. Ovchinnikov
We consider a symplectic extrapolation of the Hubbard model of N fold replicated electrons and solve this model exactly in two special cases, at N=infinity in the bosonic sector an…
Construction of Monodromy Matrix in the F- basis and Scalar products in Spin Chains
A. A. Ovchinnikov
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 expressio…
Two-dimensional Bose gas at low density
A. A. OVCHINNIKOV
We propose a new method to describe the interacting bose gas at zero temperature. We use the decomposition of the logarithm of the wave function into the irreducible -point func…