Superfield Effective Action in the Noncommutative Wess-Zumino Model

Abstract

We introduce the concept of superfield effective action in noncommutative N=1 supersymmetric field theories containing chiral superfields. One and two loops low-energy contributions to the effective action are found for the noncommutative Wess-Zumino model. The one loop Kahlerian effective potential coincides with its commutative counterpart. We show that the two loops nonplanar contributions to the Kahlerian effective potential are leading in the case of small noncommutativity. The structure of the leading chiral corrections to the effective action and the behaviour of the chiral effective potential in the limit of large noncommutativity are also investigated.

14 pages, latex, minor corrections

References in corpus (4)

• Remarks on Time-Space Noncommutative Field Theories
• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop
• The Noncommutative Supersymmetric Nonlinear Sigma Model
• The low energy limit of the non-commutative Wess-Zumino model

Cited by in corpus (18)

• Quantum Field Theory on Noncommutative Spaces
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• On the superfield effective potential in three dimensions
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Spontaneous Symmetry Breaking in Noncommutative Field Theory
• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• The low energy limit of the non-commutative Wess-Zumino model
• On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory
• The coupling of fermions to the three-dimensional noncommutative $C{P}^{N-1}$ model: minimal and supersymmetric extensions
• Noncommutative Supersymmetry in Two Dimensions
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• All-loop finiteness of the two-dimensional noncommutative supersymmetric gauge theory
• Noncommutative supersymmetric Chern-Simons-matter model
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• On Low-Energy Effective Action of Noncommutative Hypermultiplet Model
• Supersymmetry and Gravity in Noncommutative Field Theories
• A novel nonlocal spin-1/2 theory: classical and quantum aspects