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Author Boos, H. E. ♦ Korepin, V. E.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2001-04-02
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Condensed Matter - Statistical Mechanics ♦ Mathematical Physics ♦ Nonlinear Sciences - Exactly Solvable and Integrable Systems ♦ math ♦ nlin ♦ physics:cond-mat ♦ physics:hep-th ♦ physics:math-ph
Abstract Riemann zeta function is an important object of number theory. It was also used for description of disordered systems in statistical mechanics. We show that Riemann zeta function is also useful for the description of integrable model. 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.
Description Reference: J.Phys.A34:5311-5316,2001
Educational Use Research
Learning Resource Type Article
Page Count 7


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