Wilsonian proof for renormalizability of N=1/2 supersymmetric field theories
Aug, 2003
10 pages
Published in:
- Phys.Rev.D 68 (2003) 121701
e-Print:
- hep-th/0308049 [hep-th]
Report number:
- SNUST-030801
View in:
Citations per year
Abstract:
We provide Wilsonian proof for renormalizability of four-dimensional quantum field theories with 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.- 11.30.Pb
- 11.10.Gh
- 11.10.Nx
- supersymmetry: fractional
- superspace: deformation
- supersymmetry: symmetry breaking
- Wess-Zumino model
- perturbation theory: higher-order
- renormalization group: transformation
- geometry: noncommutative
References(15)
Figures(0)