Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model

Abstract

We study systematically, through two loops, the divergence structure of the supersymmetric WZ model defined on the N=1/2 nonanticommutative superspace. By introducing a spurion field to represent the supersymmetry breaking term F^3 we are able to perform our calculations using conventional supergraph techniques. Divergent terms proportional to F, F^2 and F^3 are produced (the first two are to be expected on general grounds) but no higher-point divergences are found. By adding ab initio F and F^2 terms to the original lagrangian we render the model renormalizable. We determine the renormalization constants and beta functions through two loops, thus making it possible to study the renormalization group flow of the nonanticommutation parameter.

36 pages, 25 figures, Latex file

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• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
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• One-loop renormalisation of general N=1/2 supersymmetric gauge theory
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
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• Field Theory in Noncommutative Minkowski Superspace
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• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
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• Non(anti)commutative superspace with coordinate-dependent deformation
• Scalar Solitons in Non(anti)commutative Superspace
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• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• A renormalizable N=1/2 SYM theory with interacting matter
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• The non-anticommutative supersymmetric U(1) gauge theory
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• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Twisted SUSY: twisted symmetry versus renormalizability
• Renormalisation of the non-anticommutativity parameter at two loops
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
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• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
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