Harmonic expansion of the effective potential in Functional Renormalization Group at finite chemical potential

Abstract

In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with zero boundary conditions. To solve this equation we use an expansion of the potential in a harmonic basis. With this method we determined the phase diagram of a simple Yukawa-type model; as expected, the bosonic fluctuations decrease the strength of the transition.

15 pages, 10 figures

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Cited by in corpus (4)

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• The Chiral Phase Transitions of Helical Matter
• The $O(4)$ ${\varphi }^4$ model as an effective light meson theory: A lattice-continuum comparison