Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain

2001/05/15 by H. Boos, H. E. Boos, Boos, H. E. +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Molecular spectroscopy and chirality #Number Theory (math.NT) #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.NT

paper · pdf · doi:10.48550/arxiv.hep-th/0105144

openalex publication_date 2001/05/15 · arxiv created 2001/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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