Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections

Abstract

The quantization of the non-commutative N=1, U(1) super-Yang-Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of non-commutative supersymmetric field theories.

18 pages, latex, uses feynmf package; references added, Wess-Zumino gauge removed

References in corpus (3)

• The quantum structure of spacetime at the Planck scale and quantum fields
• UV/IR Mixing via Closed Strings and Tachyonic Instabilities
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories

Cited by in corpus (15)

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• Noncommutative Quantum Field Theories
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• Non-renormalizability of noncommutative SU(2) gauge theory
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Time ordered perturbation theory for non-local interactions; applications to NCQFT
• Gauge Theories on Deformed Spaces
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• All-loop finiteness of the two-dimensional noncommutative supersymmetric gauge theory
• Noncommutative supersymmetric Chern-Simons-matter model