Remarks about an "exact" RG theory of Goldstone modes

2003/01/15 by J. Kaupuzs
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as Latv.J.Phys.Tech.Sci. 5 (2002) 31 · 5 pages, no figures

arxiv created 2003/01/15 · arxiv updated 2009/11/30

Abstract

A renormalization group (RG) theory of Goldstone mode singularities in the O(n>1)-symmetric phi⁴ model is discussed. This perturbative RG theory is claimed to be asymptotically exact, as regards the long-wave limit of the correlation functions, where it predicts a purely Gaussian behavior of the transverse correlation function. However, we show that the results of this theory are incorrect, and the Gaussian behavior originates from a rough error in mathematics. Other relevant perturbative theories are discussed, as well.

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