Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions

Details Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions

2011-05-24

arxiv.org/abs/1105.4722v2

Physics

Condensed Matter

Statistical Mechanics

41 pages, no figures

Scientific paper

For the integrable spin-s XXZ chain we express explicitly any given spin-$s$ form factor in terms of a sum over the scalar products of the spin-1/2 operators. Here they are given by the operator-valued matrix elements of the monodromy matrix of the spin-1/2 XXZ spin chain. In the paper we call an arbitrary matrix element of a local operator between two Bethe eigenstates a form factor of the operator. We derive all important formulas of the fusion method in detail. We thus revise the derivation of the higher-spin XXZ form factors given in a previous paper. The revised method has several interesting applications in mathematical physics. For instance, we express the spin-$s$ XXZ correlation function of an arbitrary entry at zero temperature in terms of a sum of multiple integrals.

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