Correlation Functions in the Spin-fermion Model

Scattering Theory for the Spin Fermion Model.

Dynamical correlation functions of the spin Calogero-Sutherland model

The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov’s finite-size results. The resultant formula for the density two-point correlation function is consistent with the previous conjecture on the basis of the minimal number of elementary excitations. CREST researcher: Japan Science and Tech...

N - point Correlation Functions of the Spin - 1 XXZ Model

We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra Uq(su(2)2) of level 2 and its corresponding type I vertex operators in terms of a deformed bosonic field free of a backg...

Spin-spin correlation functions of the q-VBS state of an integer spin model

We consider the valence-bond-solid ground state of the q-deformed higher-spin AKLT model (q-VBS state). We investigate the eigenvalues and eigenvectors of a matrix (G matrix), which is constructed from the matrix product representation of the q-VBS state. We compute the longitudinal and transverse spin-spin correlation functions, and determine the correlation amplitudes and correlation lengths ...

Exact asymptotic behaviour of fermion correlation functions in the massive Thirring model

We obtain an exact asymptotic expression for the two-point fermion correlation functions in the massive Thirring model (MTM) and show that, for β = 8π, they reproduce the exactly known corresponding functions of the massless theory, explicitly confirming the irrelevance of the mass term at this point. This result is obtained by using the Coulomb gas representation of the fermionic MTM correlato...