Condensed Matter Theory

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The supersymmetric t-J model with a boundary

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29:19 (1996) 6183-6203
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Determinant representation for a quantum correlation function of the lattice sine-Gordon model

(1995)

Authors:

Fabian HL Essler, Holger Frahm, Alexander R Its, Vladimir E Korepin
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Exact Perturbative Solution of the Kondo Problem

Physical Review Letters American Physical Society (APS) 75:24 (1995) 4492-4495

Authors:

P Fendley, H Saleur
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A test theory of the local structure of spacetime: a Finslerian approach

Classical and Quantum Gravity 12:1 (1995) 273-278

Authors:

R Golestanian, MRH Khajehpour, R Mansouri

Abstract:

For rival theories within the framework of the test theory of Mansouri - Sexl a geometrical setting in terms of Finsler geometry has been found. It is shown that the time dilation and length contraction parameters measure the deviation from a Riemannian geometry.
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Dual field approach to correlation functions in the Heisenberg xxz spin Chain

Recent Progress in Statistical Mechanics and Quantum Field Theory: Department of Physics & Astronomy, University of Southern California, 16-21 May 1994 World Scientific Publishing Company Inc. (1995)

Authors:

Fabian Essler, VE Korepin

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.
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