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

David Berenstein·Soo-Jong Rey
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Abstract

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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David Berenstein, Soo-Jong Rey. 2003-08-14. Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories. https://doi.org/10.1103/physrevd.68.121701

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