Loop expansion of the average effective action in the functional renormalization group approach

Abstract

We formulate a perturbation expansion for the effective action in a new approach to the functional renormalization group method based on the concept of composite fields for regulator functions being their most essential ingredients. We demonstrate explicitly the principal difference between the properties of effective actions in these two approaches existing already on the one-loop level in a simple gauge model.

15 pages; v3: minor corrections, references added

References in corpus (3)

• Exact evolution equation for the effective potential
• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Splitting Ward identity

Cited by in corpus (5)

• Legendre transformations and Clairaut-type equations
• Gauge (in)dependence and background field formalism
• Non-Abelian gauge theories with composite fields in the background field method
• Gauge dependence of alternative flow equation for the functional renormalization group
• Composite operators in functional renormalization group approach