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 Wetterich equation.
Alternative flow equation for the functional renormalization group
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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.
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A new functional RG flow: regulator-sourced 2PI versus average 1PI
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 Wetterich equation.