Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: a new approach

Details Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: a new approach Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: a new approach

1998-09-16

arxiv.org/abs/hep-lat/9809133v3

Phys.Rev. D62 (2000) 025013

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, Latex, 1 fig. Typo in Eq.(46) which led to wrong result is corrected. Agreement with conventional method is recovere

Scientific paper

10.1103/PhysRevD.62.025013

A new method of constructing a weak coupling expansion of two dimensional (2D) models with an unbroken continuous symmetry is developed. The method is based on an analogy with the abelian XY model, respects the Mermin-Wagner (MW) theorem and uses a link representation of the partition and correlation functions. An expansion of the free energy and of the correlation functions at small temperatures is performed and first order coefficients are calculated explicitly. They are shown to coincide with the results of the conventional perturbation theory. We discuss an applicability of our method to analysis of uniformity of the low-temperature expansion.

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