The Landau-Ginzburg-Wilson model in 2 and 2+ϵ dimensions at low temperatures

Robert J. Myerson

Physica A: Statistical Mechanics and its Applications, 1978, vol. 90, issue 3, 431-449

Abstract: By introducing a collective variable the two-dimensional Landau-Ginzburg-Wilson model (classical order parameter of non-rigid magnitude) may, if the order parameter dimension exceeds one, be solved at absolute zero. A low temperature expansion about this solution is developed. The low temperature expansion supports the hypothesis that d = 2 systems with a two-component order parameter will have a non-zero critical point, below which the susceptibility diverges, although no symmetry breaking occurs. The leading order temperature dependence of η is determined. In addition an ϵ expansion for systems of spatial dimension 2 + ϵ is developed. The critical exponents, calculated here to lowest order in ϵ, agree with those found for stiff spins.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:90:y:1978:i:3:p:431-449

DOI: 10.1016/0378-4371(78)90003-1

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