Renormalization group methods and the 2PI effective action

Abstract

We consider a symmetric scalar theory with quartic coupling in 4-dimensions and compare the standard 2PI calculation with a modified version which uses a functional renormalization group method. The set of integral differential equations that are obtained from the exact renormalization group method truncate naturally, without the introduction of additional approximations. The results of the two methods agree well, which shows that the exact renormalization group can be used at the level of the 2PI effective action to obtain finite results without the use of counter-terms. The method therefore offers a promising starting point to study the renormalization of higher order $n$PI theories.

35 pages, 5 figures

References in corpus (5)

• Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism
• Exact renormalization group and Phi-derivable approximations
• Leading Order QED Electrical Conductivity from the 3PI Effective Action
• QED Electrical Conductivity using the 2PI Effective Action
• Calculation of the pressure of a hot scalar theory within the Non-Perturbative Renormalization Group

Cited by in corpus (2)

• Symmetry improvement of 3PI effective actions for O(N) scalar field theory
• Wave propagation in non Gaussian random media