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Scientific article
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English

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

Published inCommunications in Mathematical Physics, vol. 226, no. 2, p. 433-454
Publication date2002
Abstract

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.

Affiliation Not a UNIGE publication
Citation (ISO format)
IOFFE, D., SHLOSMAN, S., VELENIK, Yvan. 2D Models of statistical physics with continuous symmetry: the case of singular interactions. In: Communications in Mathematical Physics, 2002, vol. 226, n° 2, p. 433–454. doi: 10.1007/s002200200627
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Article (Accepted version)
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ISSN of the journal1432-0916
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