2D models of statistical physics with continuous symmetry: the case of singular interactions

Details 2D models of statistical physics with continuous symmetry: the case of singular interactions 2D models of statistical physics with continuous symmetry: the case of singular interactions

2001-10-12

arxiv.org/abs/math/0110127v1

Comm. Math. Phys., Vol. 226, Nr. 2 (2002) , p. 433--454

Mathematics

Probability

29 pages

Scientific paper

10.1007/s002200200627

We show the absence of continuous symmetry breaking in 2D lattice systems
without any smoothness assumptions on the interaction. We treat certain cases
of interactions with integrable singularities. We also present cases of
singular interactions with continuous symmetry, when the symmetry is broken in
the thermodynamic limit.

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