Correlation Functions for Lattice Integrable Models | Zendy

F. Smirnov | Zendy

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Correlation Functions for Lattice Integrable Models

Author(s) -

F. Smirnov

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.

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