Correlation Functions for Lattice Integrable Models

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 gen...

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Main Author: F. Smirnov
Format: Article
Language:English
Published: CTU Central Library 2008-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/959
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spelling doaj-de3865193f3d4ab0a056115a1d8988632020-11-24T21:07:17ZengCTU Central LibraryActa Polytechnica1210-27091805-23632008-01-01482959Correlation Functions for Lattice Integrable ModelsF. SmirnovIn 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. https://ojs.cvut.cz/ojs/index.php/ap/article/view/959Quantum integrable modelscorrelation functionsexactly solvable models of statistical physics
collection DOAJ
language English
format Article
sources DOAJ
author F. Smirnov
spellingShingle F. Smirnov
Correlation Functions for Lattice Integrable Models
Acta Polytechnica
Quantum integrable models
correlation functions
exactly solvable models of statistical physics
author_facet F. Smirnov
author_sort F. Smirnov
title Correlation Functions for Lattice Integrable Models
title_short Correlation Functions for Lattice Integrable Models
title_full Correlation Functions for Lattice Integrable Models
title_fullStr Correlation Functions for Lattice Integrable Models
title_full_unstemmed Correlation Functions for Lattice Integrable Models
title_sort correlation functions for lattice integrable models
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2008-01-01
description 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. 
topic Quantum integrable models
correlation functions
exactly solvable models of statistical physics
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/959
work_keys_str_mv AT fsmirnov correlationfunctionsforlatticeintegrablemodels
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