Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

We study XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability
of formation of a ferromagnetic string in the anti-ferromagnetic ground state
in thermodynamics limit. We prove that for short strings the probability can be
expressed in terms of Riemann zeta function with odd arguments.

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