Asymptotics of Correlation Function of Twist Fields in Two Dimensional Lattice Fermion Model
نویسندگان
چکیده
In two-dimensional lattice fermion model a determinant representation for the twopoint correlation function of the twist field in the disorder phase is obtained. This field is defined by twisted boundary conditions for lattice fermion field. The large distance asymptotics of the correlation function is calculated at the critical point and in the scaling region. The result is compared with the vacuum expectation values of exponential fields in the sine-Gordon model conjectured by S.Lukyanov and A.Zamolodchikov.
منابع مشابه
روش انتگرال مسیر برای مدل هابارد تک نواره
We review various ways to express the partition function of the single-band Hubard model as a path integral. The emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly. Since the single-band Hubbard model is a pure fermionic model on the lattice and its Hamiltonian is a polynomial in creat...
متن کاملTight- binding study of electronic band structure of anisotropic honeycomb lattice
The two-dimensional structure of graphene, consisting of an isotropic hexagonal lattice of carbon atoms, shows fascinating electronic properties, such as a gapless energy band and Dirac fermion behavior of electrons at fermi surface. Anisotropy can be induced in this structure by electrochemical pressure. In this article, by using tight-binding method, we review anisotropy effects in the elect...
متن کاملThe 1=n-expansion as a Perturbation about the Mean Field Theory: a One-dimensional Fermi Model
We examine a family of probability measure on R L with real parameter > 0 and integer parameters N; L > 0. Each such measure is equivalent to the lattice version of a one-dimensional chiral-invariant Fermion quantum eld theory with quartic interaction, with N the number of avours. After applying the Matthews-Salam formula, the model becomes a statistical mechanical model of a chain of continuou...
متن کاملNéel Order and Electron Spectral Functions in the Two-Dimensional Hubbard Model: a Spin-Charge Rotating Frame Approach
Using recently developed quantum SU(2)× U(1) rotor approach, that provides a self-consistent treatment of the antiferromagnetic state we have performed electronic spectral function calculations for the Hubbard model on the square lattice. The collective variables for charge and spin are isolated in the form of the space-time fluctuating U(1) phase field and rotating spin quantization axis gover...
متن کاملInvestigation of pore-scale random porous media using lattice boltzmann method
The permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the Lattice Boltzmann method (LBM). Effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. Two major models of random porous media were reconstructed by computerized tomography method: Randomly distributed rectangular obstacles in a uni...
متن کامل