0 v 1 9 A ug 1 99 3 Spectrum of an Elliptic Free Fermionic Corner Transfer Matrix Hamiltonian ∗
نویسنده
چکیده
The eigenvalues of the Corner Transfer Matrix Hamiltonian associated to the el-liptic R matrix of the eight vertex free fermion model are computed in the anisotropic case for magnetic field smaller than the critical value. An argument based on generating functions is given, and the results are checked numerically. The spectrum consists of equally spaced levels.
منابع مشابه
Spectrum of an Elliptic Free Fermionic Corner Transfer Matrix Hamiltonian
The eigenvalues of the Corner Transfer Matrix Hamiltonian associated to the el-liptic R matrix of the eight vertex free fermion model are computed in the anisotropic case for magnetic eld smaller than the critical value. An argument based on generating functions is given, and the results are checked numerically. The spectrum consists of equally spaced levels.
متن کامل/ 95 08 13 3 v 1 2 5 A ug 1 99 5 Bethe Ansatz Equations for the Broken Z N - Symmetric Model
We obtain the Bethe Ansatz equations for the broken ZN -symmetric model by constructing a functional relation of the transfer matrix of L-operators. This model is an elliptic off-critical extension of the Fateev-Zamolodchikov model. We calculate the free energy of this model on the basis of the string hypothesis.
متن کاملar X iv : h ep - t h / 92 04 06 8 v 1 2 3 A pr 1 99 2 CORNER TRANSFER MATRICES AND QUANTUM AFFINE
Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the antiferroelectric regime. It acts on the infinite tensor product W = V ⊗ V ⊗ V ⊗ · · ·, where V is the 2-dimensional irreducible representation of the quantum affine Lie algebra Uq ( ŝl (2) ) . We observe that H is the derivation of Uq ( ŝl (2) ) , and conjecture that the eigenvectors of H form the level-1 vacuum re...
متن کاملar X iv : h ep - l at / 9 50 80 13 v 1 9 A ug 1 99 5 February 1 ,
By placing fermions only on the even sites of a lattice, one may halve the momentum spectrum and construct a theory without doublers. The interaction is nonlocal. The fermion propagator is not a sparse matrix, but because the unwanted fermionic states are absent from the formalism, it is 256 times smaller than the usual propagator.
متن کاملv 1 1 9 A ug 1 99 9 SWAT / 227 The Dirac Sea Contribution To The Energy Of An Electroweak String
We present a systematic determination of the order ¯ h fermionic energy shift when an electroweak string is perturbed. We show that the combined effect of zero modes, bound states and continuum states is to lower the total fermionic ground state energy of the string when the Higgs instability of the string is excited. The effect of the Dirac sea is thus to destabilise the string. However, this ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993