# Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories

Authors
Type
Published Article
Publication Date
Aug 14, 2003
Submission Date
Aug 07, 2003
Identifiers
DOI: 10.1103/PhysRevD.68.121701
Source
arXiv
We provide Wilsonian proof for renormalizability of four-dimensional quantum field theories with ${\cal N}=1/2$ supersymmetry. We argue that the non-hermiticity inherent to these theories permits assigning noncanonical scaling dimension both for the Grassman coordinates and superfields. This reassignment can be done in such a way that the non(anti)commutativity parameter is dimensionless, and then the rest of the proof ammounts to power counting. The renormalizability is also stable against adding standard four-dimensional soft-breaking terms to the theory. However, with the new scaling dimension assignments, some of these terms are not just relevant deformations of the theory but become marginal.