Alternative flow equation for the functional renormalization group

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

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.

Citation

Alexander, E., Millington, P., Nursey, J., & Saffin, P. M. (2019). Alternative flow equation for the functional renormalization group. Physical Review D, 100(10), Article 101702(R). https://doi.org/10.1103/physrevd.100.101702

• 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
• Publicly Available Date: Jan 13, 2020
• 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)
• DOI: https://doi.org/10.1103/physrevd.100.101702
• Keywords: Physics and Astronomy (miscellaneous)
• Public URL: https://nottingham-repository.worktribe.com/output/3443762
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.101702