Provable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries

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dc.creatorvan Enter, A. C. D.
dc.creatorShlosman, S. B.
dc.date2003-06-13
dc.date.accessioned2026-07-07T11:46:12Z
dc.date.available2026-07-07T11:46:12Z
dc.descriptionWe consider various sufficiently nonlinear sigma models for nematic liquid crystal ordering of RP^{N-1} type and of lattice gauge type with continous symmetries. We rigorously show that they exhibit a first-order transition in the temperature. The result holds in dimension 2 or more for the RP^{N-1} models and in dimension 3 or more for the lattice gauge models. In the two-dimensional case our results clarify and solve a recent controversy about the possibility of such transitions. For lattice gauge models our methods provide the first proof of a first-order transition in a model with a continuous gauge symmetry.
dc.identifierhttps://arxiv.org/abs/cond-mat/0306362
dc.identifierhttp://arxiv.org/abs/cond-mat/0306362
dc.identifierCommun.Math.Phys.255:21-32,2005
dc.identifierdoi:10.1007/s00220-004-1286-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202141
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleProvable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries
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