Thermal form factors of the anisotropic Heisenberg chain and some of their applications

Frank Goehmann (Bergische Universitaet Wuppertal)

Tuesday 19th March, 2013 15:00-16:00 Maths 416

Abstract

We have derived expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which allow us to take the infinite Trotter number limit. This solves the longstanding problem of describing analytically the large-distance asymptotics of the finite temperature correlation functions of the model. Taking the zero temperature limit in the critical regime we confirm the predictions of conformal field theory. In addition, we obtain the non-universal amplitudes to leading order in temperature as functions of the applied longitudinal magnetic field.

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