Work

Functional and local renormalization groups

Year: 2015

Type: article

Abstract: We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focusing on the two-dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a derivative expansion with coefficients naturally related to RG quantities. We then demonstrate that the Weyl consistency conditions derived in the LRG approach are equivalent to the RG equation for the $c$ function available in the FRG scheme. This allows us to give an explicit FRG representation of the Zamolodchikov-Osborn metric, which in principle can be used for computations.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.91.125016

Authors: Alessandro Codello, Giulio D’Odorico, Carlo Pagani

Institutions: University of Southern Denmark, Radboud University Nijmegen, Johannes Gutenberg University Mainz

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Danmarks Grundforskningsfond

Award: G1082361991