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

Ioffe, D.; Shlosman, S.; Velenik, Yvan

doi:10.1007/s002200200627

Scientific article

English

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

ContributorsIoffe, D.; Shlosman, S.; Velenik, Yvan

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.

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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

Article (Accepted version)

Identifiers

PID : unige:6394
DOI : 10.1007/s002200200627

Journal ISSN1432-0916

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

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