Interplay of fixed points in scalar models

Abstract

We performed the renormalization group analysis of scalar models exhibiting spontaneous symmetry breaking. It is shown that an infrared fixed point appears in the broken symmetric phase of the models, which induces a dynamical scale, that can be identified with the correlation length. This enables one to identify the type of the phase transition which shows similarity to the one appearing in the crossover scale. The critical exponent $\nu$ of the correlation length also proved to be equal in the crossover and the infrared scaling regimes.

11 pages, 4 figures

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Cited by in corpus (11)

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• $c$-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Renormalization of QCD_2
• Asymptotic safety in the sine-Gordon model
• Phase structure of the $O(2)$ ghost model with higher-order gradient term
• Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
• Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in $O(N)$ models