Professor Fabian Essler: Publications

Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29:17 (1996) 5619-5626

Authors:

FHL Essler, H Frahm, AR Its, VE Korepin

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Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29:13 (1996) 3375-3407

Authors:

FHL Essler, V Rittenberg

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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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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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Professor Fabian Essler

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Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point

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Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

Authors:

The supersymmetric t-J model with a boundary

Determinant representation for a quantum correlation function of the lattice sine-Gordon model

Authors:

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

Authors:

Abstract:

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Professor Fabian Essler

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Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point

Authors:

Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries

Authors:

The supersymmetric t-J model with a boundary

Determinant representation for a quantum correlation function of the lattice sine-Gordon model

Authors:

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

Authors:

Abstract: