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

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

2003-08-07

arxiv.org/abs/hep-th/0308049v2

Phys.Rev. D68 (2003) 121701

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figure, v2: minor correction

Scientific paper

10.1103/PhysRevD.68.121701

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.

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