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Remarks about an "exact" RG theory of Goldstone modes

J. Kaupuzs
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Abstract

A renormalization group (RG) theory of Goldstone mode singularities in the O(n>1)-symmetric phi^4 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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J. Kaupuzs. 2003-01-15. Remarks about an "exact" RG theory of Goldstone modes. https://arxiv.org/abs/cond-mat/0301267

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