Renormalization and resummation in finite temperature field theories

Journal Article · Sun May 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.105001· OSTI ID:20709303

Jakovac, A; Szep, Zs ^[1]

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1. Hungarian Academy of Sciences and Budapest University of Technology and Economics Research Group 'Theory of Condensed Matter', H-1521 Budapest (Hungary)

Resummation, i.e. reorganization of perturbative series, can result in an inconsistent perturbation theory, unless the counterterms are reorganized in an appropriate way. In this paper two methods are presented for resummation of counterterms: one is a direct method where the necessary counterterms are constructed order by order; the other is a general one, based on renormalization group arguments. Using the {phi}{sup 4} model, we demonstrate on one hand that, in mass-independent schemes, mass resummation can be performed by gap equations renormalized prior to the substitution of the resummed mass for its argument. On the other hand it is shown that any (momentum-independent) form of mass and coupling constant resummation is compatible with renormalization, and one can explicitly construct the corresponding counterterms.

• OSTI ID: 20709303
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
MASS
PERTURBATION THEORY
PHI4-FIELD THEORY
RENORMALIZATION