Vacuum curves, classical integrable systems in discrete space-time and statistical physics

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dc.creatorKorepanov, I. G.
dc.date1993-12-27
dc.date.accessioned2026-07-07T04:19:56Z
dc.date.available2026-07-07T04:19:56Z
dc.descriptionA dynamical system with discrete time is studied by means of algebraic geometry. The system admits a reduction that is interpreted as a classical field theory in 2+1-dimensional wholly discrete space-time. The integrals of motion of a particular case of the reduced system are shown to coincide, in essence, with the statistical sum of the well-known (inhomogeneous) 2-dimensional dimer model (the statistical sum is here a function of two parameters). Possible generalizations of the system are examined.
dc.description18 pages. Talk made at the Lobachevsky Semester in Euler International Math Institute, S Petersburg, November 1992
dc.identifierhttps://arxiv.org/abs/hep-th/9312197
dc.identifierhttp://arxiv.org/abs/hep-th/9312197
dc.identifierZapiski Nauchn. Semin. POMI (S-Petersburg) 235 (1996) 272-286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53775
dc.subjectHigh Energy Physics - Theory
dc.titleVacuum curves, classical integrable systems in discrete space-time and statistical physics
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