Algebraic renormalization of supersymmetric gauge theories with dimensionful parameters

作者:Golterman Maarten*; Shamir Yigal
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, 82(10): 105003.
DOI:10.1103/PhysRevD.82.105003

摘要

It is usually believed that there are no perturbative anomalies in supersymmetric gauge theories beyond the well-known chiral anomaly. In this paper we revisit this issue, because previously given arguments are incomplete. Specifically, we rule out the existence of soft anomalies, i.e., quantum violations of super-symmetric Ward identities proportional to a mass parameter in a classically supersymmetric theory. We do this by combining a previously proven theorem on the absence of hard anomalies with a spurion analysis, using the methods of algebraic renormalization. We work in the on-shell component formalism throughout. In order to deal with the nonlinearity of on-shell supersymmetry transformations, we take the spurions to be dynamical, and show how they nevertheless can be decoupled.

  • 出版日期2010-11-5