Polyakov effective action from functional renormalization group equation

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.04.013· OSTI ID:21452997

Codello, Alessandro ^[1]

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1. Institut fuer Physik, Johannes Gutenberg-Universitaet, Mainz, Staudingerweg 7, D-55099 Mainz (Germany)

We discuss the Polyakov effective action for a minimally coupled scalar field on a two dimensional curved space by considering a non-local covariant truncation of the effective average action. We derive the flow equation for the form factor in {integral}{radical}(g)Rc{sub k}({Delta})R, and we show how the standard result is obtained when we integrate the flow from the ultraviolet to the infrared.

• OSTI ID: 21452997
• Journal Information: Annals of Physics (New York), Vol. 325, Issue 8; Other Information: DOI: 10.1016/j.aop.2010.04.013; PII: S0003-4916(10)00077-1; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
FIELD EQUATIONS
FORM FACTORS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SPACE
TWO-DIMENSIONAL CALCULATIONS
ULTRAVIOLET RADIATION
DIMENSIONLESS NUMBERS
ELECTROMAGNETIC RADIATION
EQUATIONS
FIELD THEORIES
INTEGRALS
PARTICLE PROPERTIES
RADIATIONS