1993/12/27 by I. G. Korepanov
Physics and Astronomy · #hep-th
published as Zapiski Nauchn. Semin. POMI (S-Petersburg) 235 (1996) 272-286 · 18 pages. Talk made at the Lobachevsky Semester in Euler International Math Institute, S Petersburg, November 1992
arxiv created 1993/12/27 · arxiv updated 2009/11/30
A 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.