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

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...

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Bibliographic Details
Published in:arXiv.org 2016-04
Main Authors: Barnafoldi, G G, Jakovac, A, Posfay, P
Format: Article
Language:English
Subjects:
Boundary conditions
Chemical potential
Differential equations
Fermi surfaces
Mapping
Organic chemistry
Phase diagrams
Variations
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1604.01717