2003/08/14 by David Berenstein, Soo-Jong Rey · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.68.121701
published as Phys.Rev. D68 (2003) 121701 · 10 pages, no figure, v2: minor correction
arxiv created 2003/08/14 · openalex publication_date 2003/12/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We provide a Wilsonian proof for the renormalizability of four-dimensional quantum field theories with N=1/2 supersymmetry. We argue that the non-Hermiticity inherent to these theories permits assigning a 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 amounts 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.