Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:nlin/0004013 · Journal of Physics A Mathematical and General

The criticalAn-1(1)chain

Takeo Kojima, S Yamasita

Published Feb 2, 2001• 4 citations
arXivHTMLPDF

Abstract

We study the A n -1 (1) spin chain in the critical regime | q | = 1. We give free boson realizations of the vertex operators and their duals. Using these free boson realizations, we give integral representations for the correlation functions.
DOI
10.1088/0305-4470/34/6/309

Related papers

THE 19-VERTEX MODEL AT CRITICAL REGIME |q|=1

Takeo Kojima

We study the 19-vertex model associated with the quantum group [Formula: see text] at critical regime |q|=1. We give the realizations of the vertex operators in terms of free bosons and free fermions. Using these free field realizations, we present integral representations for the correlation functions.

arXiv:nlin/0005022•International Journal of Modern Physics A•Apr 10, 2001•8 citations

THE MASSLESS XXZ CHAIN WITH A BOUNDARY

Takeo Kojima

We study the XXZ chain with a boundary at massless regime -1<Δ<1. We give the free field realizations of the boundary vacuum state and its dual. Using these realizations, we give the integral representations for the correlation functions.

arXiv:nlin/0006026•International Journal of Modern Physics A•Jan 30, 2001•9 citations

LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS

Makoto Idzumi

Vertex operators associated with level 2 [Formula: see text] modules are explicitly constructed using bosons and fermions. An integral formula is derived for the trace of products of vertex operators. These results are applied to give n-point spin correlation functions of an integrable S = 1 quantum spin chain, extending an earlier work of Jimbo et al. for the case S = 1/2.

arXiv:hep-th/9310089•International Journal of Modern Physics A•Oct 10, 1994•34 citations

Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain

Fabian H. L. Eßler, V. E. Korepin

We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< Δ\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem.

arXiv:solv-int/9501003•Jan 11, 1995•0 citations

Bosonization of vertex operators for the face model

Yoshinori Asai, Michio Jimbo, Tetsuji Miwa +1 more

We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of type. We discuss a possible connection with the calculation of correlation functions.

arXiv:hep-th/9606095•Journal of Physics A Mathematical and General•Oct 21, 1996•55 citations

On the spin–spin correlation functions of the XXZ spin- infinite chain

N Kitanine, Jean Michel Maillet, N A Slavnov +1 more

We obtain a new multiple integral representation for the spin–spin correlation functions of the XXZ spin- infinite chain. We show that this representation is closely related with the partition function of the six-vertex model with domain wall boundary conditions.

arXiv:hep-th/0407223•Journal of Physics A Mathematical and General•Aug 10, 2005•25 citations
LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF Uq(sl^2)U_q (\widehat{{\rm sl}}_2)Uq​(sl2​), VERTEX OPERATORS, AND THEIR CORRELATIONS
We study zero temperature correlation functions of the spin-121\over 221​ Heisenberg XXZ model in the critical regime −1<Δ≤1-1< Δ\leq 1−1<Δ≤1 in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem.