Open AccessCorrelation Functions for Lattice Integrable Models
Author(s) -
Ф. Смирнов
Publication year - 2008
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/959
Subject(s) - integrable system , fermion , coupling constant , correlation , lattice (music) , mathematical physics , basis (linear algebra) , correlation function (quantum field theory) , physics , mathematics , spin (aerodynamics) , statistical physics , quantum mechanics , theoretical physics , pure mathematics , geometry , acoustics , dielectric , thermodynamics
In this lectures I consider the problem of calculating the correlation functions for XXZ spin chain. First, I explain in details the free fermion case. Then I show that for generic coupling constant the fermionic operators acting on the space of quasi-local fields can be introduced. In the basis generated by these fermionic operators the correlation functions are given by determinants as in the free fermion case.