Renormalization group methods and the 2PI effective action

D. Pickering; J.W. Pulver; M.E. Carrington; Wei-jie Fu

Renormalization group methods and the 2PI effective action

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arxiv 1404.0710 v1 pith:DYD6SCMH submitted 2014-04-02 hep-ph

M.E. Carrington , Wei-Jie Fu , D. Pickering , J.W. Pulver This is my paper · ORCID

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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.

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Consistent Thermal Resummation and Phase Transitions with 2PI Methods
hep-ph 2026-08 conditional novelty 6.0 of 10

A 2PI-Hartree effective potential for two mixing scalars is renormalized and used to show that self-consistent thermal resummation can substantially alter predicted phase transition strengths and gravitational wave spectra.

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