One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory

Abstract

Perturbative corrections to N=1/2 supersymmetric U(N) gauge theory at one-loop order are studied. It is shown that whereas the quantum corrections to N=1 sector of the theory are not affected by the C-deformation, the non(anti)commutativity parameter C receives one-loop perturbative corrections. These perturbative corrections are computed by performing an explicit one-loop calculation of the three and four-point functions of the theory. The running of the non(anti)commutativity parameter C is also studied using an appropriate Callan-Symanzik equation.

22 pages, latex file, V2: Typos corrected, Refs added

References in corpus (12)

• Supersymmetric Gauge Theories on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Deformed N=1 supersymmetry
• Generalized Noncommutative Supersymmetry from a New Gauge Symmetry
• Scalar Solitons in Non(anti)commutative Superspace

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