Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain
H. E. Boos, V. E. Korepin
Abstract
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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