Work

Proper time regulator and renormalization group flow

Year: 2001

Type: article

Abstract: We consider some applications of the renormalization group flow equations obtained by resorting to a specific class of proper time regulators. Within this class a particular limit that corresponds to a sharpening of the effective width of the regulator is investigated and a procedure to analytically implement this limit on the flow equations is shown. We focus on the critical exponents determination for the $O(N)$ symmetric scalar theory in three dimensions. The large N limit and some perturbative features in four dimensions are also analyzed. In all problems examined the results are optimized when the mentioned limit of the proper time regulator is taken.

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

DOI: 10.1103/physrevd.64.105013

Authors: M. Mazza, D. Zappalà

Institutions: Max Planck Society, University of Catania, Max Planck Institute for Dynamics and Self-Organization, Istituto Nazionale di Fisica Nucleare, Sezione di Catania

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1970680239

FWCI: 2.864

Cites: 38

Cited by: 47

Related to: 10