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Alternative flow equation for the functional renormalization group

Alexander, Elizabeth; Millington, Peter; Nursey, Jordan; Saffin, Paul M.

Authors

Elizabeth Alexander

Peter Millington

Jordan Nursey

Paul M. Saffin



Abstract

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.

Journal Article Type Article
Publication Date Nov 27, 2019
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 100
Issue 10
Article Number 101702(R)
APA6 Citation Alexander, E., Millington, P., Nursey, J., & Saffin, P. M. (2019). Alternative flow equation for the functional renormalization group. Physical Review D, 100(10), https://doi.org/10.1103/physrevd.100.101702
DOI https://doi.org/10.1103/physrevd.100.101702
Keywords Physics and Astronomy (miscellaneous)
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.101702

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