Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 226, Issue 2, Pages 433-454Publisher
SPRINGER-VERLAG
DOI: 10.1007/s002200200627
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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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