Renormalization of supersymmetric field theories in loop regularization with string-mode regulators

Journal Article · Mon Jun 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.125008· OSTI ID:21301015

Jianwei, Cui; Yong, Tang; Yueliang, Wu ^[1]

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1. Kavli Institute for Theoretical Physics China, Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China)

By applying the recently developed loop regularization (LR) with string-mode regulators to supersymmetric field theories, we explicitly verify the supersymmetric Ward identities in several supersymmetric models at one-loop level. It is interesting to observe that supersymmetry is such a remarkable symmetry that the supersymmetric Ward identities hold as long as a regularization scheme is realized in the exact four-dimensional space-time with translational invariance for the momentum integration, and the gauge symmetry can be maintained once the regularization scheme preserves supersymmetry and satisfies the consistency condition for logarithmic divergences. As a manifest demonstration, we carry out a complete one-loop renormalization for the massive Wess-Zumino model by adopting the LR method, and it is found that all the quadratic divergences cancel out and the relations among masses and coupling constants hold after renormalization, which agrees with the well-known nonrenormalization theorem. It is concluded that the LR method preserves not only gauge symmetry but also supersymmetry. A simple and definite derivation of Majorana Feynman rules is found to be very useful.

• OSTI ID: 21301015
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
MASS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
STRING MODELS
SUPERSYMMETRY
WARD IDENTITY