Exact renormalization group in Batalin--Vilkovisky theory

Understand

In this paper, inspired by the Costello's seminal work, we present a general formulation of exact renormalization group (RG) within the Batalin-Vilkovisky (BV) quantization scheme.

• In the spirit of effective field theory, the BV bracket and Laplacian structure as well as the BV effective action (EA) depend on an effective energy scale.
• The BV EA at a certain scale satisfies the BV quantum master equation at that scale.
• The RG flow of the EA is implemented by BV canonical maps intertwining the BV structures at different scales.