Noncommutative perturbation in superspace

Abstract

We consider noncommutative {\cal N}=4 supersymmetric U(N) Yang-Mills theory. Using the {\cal N}=1 superfield formalism and the background field method we compute one-loop four point contributions to the effective action and compare the result with the field theory limit from open string amplitudes in the presence of a constant B-field.

latex, 11 pages, minor changes, references added

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Cited by in corpus (28)

• Noncommutative Field Theory
• Non(anti)commutative Superspace
• Renormalization of noncommutative U(N) gauge theories
• Infinitely many star products to play with
• How Noncommutative Gauge Theories Couple to Gravity
• Towards a consistent noncommutative supersymmetric Yang-Mills theory: superfield covariant analysis
• The Three-Dimensional Noncommutative Nonlinear Sigma Model in Superspace
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• General structure of the photon self-energy in non-commutative QED
• On non-commutative N=2 super Yang-Mills
• Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Superfield Effective Action in the Noncommutative Wess-Zumino Model
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• The low energy limit of the non-commutative Wess-Zumino model
• Ultra-violet Finite Noncommutative Theories
• Noncommutative Supersymmetric Gauge Anomaly
• On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory
• Factorization and generalized *-products
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Observations on non-commutative field theories in coordinate space
• Noncommutative Supersymmetry in Two Dimensions
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• On Low-Energy Effective Action of Noncommutative Hypermultiplet Model
• Non-orientable string one-loop corrections in the presence of a B field
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes
• A relation between deformed superspace and Lee-Wick higher-derivative theories