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Alternative flow equation for the functional renormalization group

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


Elizabeth Alexander

Jordan Nursey


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.


Alexander, E., Millington, P., Nursey, J., & Saffin, P. M. (2019). Alternative flow equation for the functional renormalization group. Physical Review D, 100(10),

Journal Article Type Article
Acceptance Date Oct 25, 2019
Online Publication Date Nov 27, 2019
Publication Date Nov 27, 2019
Deposit Date Nov 29, 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)
Keywords Physics and Astronomy (miscellaneous)
Public URL
Publisher URL


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