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Dual field approach to correlation functions in the Heisenberg xxz spin Chain

Abstract:
We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
World Scientific Publishing Company Inc.
Host title:
Recent Progress in Statistical Mechanics and Quantum Field Theory: Department of Physics & Astronomy, University of Southern California, 16-21 May 1994
Journal:
Recent Progress in Statistical Mechanics and Quantum Field Theory: Department of Physics & Astronomy, University of Southern California, 16-21 May 1994 More from this journal
Publication date:
1995-12-01
ISBN:
9810220650


Keywords:
Pubs id:
pubs:499773
UUID:
uuid:e97dcb0d-4441-4c51-a765-67c35a5d7700
Local pid:
pubs:499773
Source identifiers:
499773
Deposit date:
2014-12-20

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