Renormalization of Supersymmetric Field Theories in Loop Regularization with String-mode Regulators

Details Renormalization of Supersymmetric Field Theories in Loop Regularization with String-mode Regulators Renormalization of Supersymmetric Field Theories in Loop Regularization with String-mode Regulators

2008-12-04

arxiv.org/abs/0812.0892v2

Phys.Rev.D79:125008,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 12 figures, the version to appear in PRD, an appendix is added for a proof of translational invariance of loop regul

Scientific paper

10.1103/PhysRevD.79.125008

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 a so 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, 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 non-renormalization 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.

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