Impressions on the algebraic renormalization of the N=2 supersymmetric Yang-Mills field theories

Journal Article · Mon May 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.105017· OSTI ID:20774741

Oliveira, M.W. de ^[1]

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1. Instituto de Ciencias Exatas, Universidade Federal de Itajuba, Av. BPS 1303 Pinheirinho, 37500-903 Itajuba, MG (Brazil)

We investigate the ultraviolet behavior of a class of N=2 supersymmetric Yang-Mills field theories which are built up in terms of N=1 superfields. Our results are obtained within the framework of the so-called algebraic renormalization technique of Becchi, Rouet, and Stora. Thanks to the algebraic renormalization setup, we have been able to write down the most general local counterterm functional which is compatible with all the classical symmetries of the model in the N=1 superspace. As a consequence of having parametrized both physical and unphysical renormalizations of the theory, we have also been able to present its corresponding Callan-Symanzik equation. In particular, due to the existence of a pair of linearly broken Ward identities, the nonrenormalization property of the gauge ghosts' wave functions is also proven to occur in this broad class of N=2 supersymmetric gauge field models.

• OSTI ID: 20774741
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD EQUATIONS
RENORMALIZATION
SUPERSYMMETRY
ULTRAVIOLET RADIATION
WARD IDENTITY
WAVE FUNCTIONS
YANG-MILLS THEORY