Higher derivative extension of the functional renormalization group

Abstract

We study higher derivative extension of the functional renormalization group (FRG). We consider FRG equations for a scalar field that consist of terms with higher functional derivatives of the effective action and arbitrary cutoff functions. We show that the epsilon expansion around the Wilson-Fisher fixed point is indeed reproduced by the local potential approximation of the FRG equations.

15 pages, published version

References in corpus (4)

• The nonperturbative functional renormalization group and its applications
• Gradient flow exact renormalization group
• Renormalization group and diffusion equation
• Gradient flow exact renormalization group -- inclusion of fermion fields