Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-02
J.Phys.A34:5311-5316,2001
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 7 pages
Scientific paper
10.1088/0305-4470/34/26/301
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.
Boos Herman E.
Korepin Vladimir E.
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