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Alternative flow equation for the functional renormalization group

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arxiv 1907.06503 v3 pith:7GBE3RNP submitted 2019-07-15 hep-th cond-mat.stat-mech

Elizabeth Alexander , Peter Millington , Jordan Nursey , Paul M. Saffin This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords actioneffectiveequationflowalternativegroupirreduciblerenormalization
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We derive an alternative to the Wetterich-Morris-Ellwanger equation by means of the two-particle irreducible (2PI) effective action, exploiting the method of external sources due to Garbrecht and Millington. The latter allows the two-point source of the 2PI effective action to be associated consistently with the regulator of the renormalization group flow. We show that this procedure leads to a flow equation that differs from that obtained in the standard approach based on the average one-particle irreducible effective action.

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  1. A new functional RG flow: regulator-sourced 2PI versus average 1PI

    hep-th 2019-08 conditional novelty 5.0 of 10

    For a quartic scalar theory, a regulator-sourced 2PI flow gives faster running of the potential minimum and the cosmological constant, and slightly slower running of the quartic coupling, compared with the standard We...

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