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

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.

preprint2001arXivOpen access
Dima IoffeSenya ShlosmanYvan Velenik
cond-mat.stat-mechmath-phmath.PRmath.MP
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Dima IoffeSenya ShlosmanYvan Velenik

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