Quantum Spin Chains and Riemann Zeta Function with Odd Arguments

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dc.creatorBoos, H. E.
dc.creatorKorepin, V. E.
dc.date2001-04-02
dc.date2001-04-18
dc.date.accessioned2026-07-07T10:53:33Z
dc.date.available2026-07-07T10:53:33Z
dc.descriptionRiemann 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.
dc.descriptionLaTeX, 7 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0104008
dc.identifierhttp://arxiv.org/abs/hep-th/0104008
dc.identifierJ.Phys.A34:5311-5316,2001
dc.identifierdoi:10.1088/0305-4470/34/26/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185521
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleQuantum Spin Chains and Riemann Zeta Function with Odd Arguments
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