On the Effective Action of Noncommutative Yang-Mills Theory

Abstract

We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special regularisation scheme chosen here and give some links to the Schwinger parametric representation. Finally, we discuss the results obtained: a noncommutative possibly renormalisable Yang-Mills theory.

arXiv comment19 pages, 6 figures. At the occasion of the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France). To appear in J. Phys. Conf. Ser

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Cited by in corpus (6)

• On the vacuum states for noncommutative gauge theory
• Noncommutative epsilon-graded connections
• Symmetries of noncommutative scalar field theory
• On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
• Translation-Invariant Noncommutative Renormalization
• Quantization of a gauge theory on a curved noncommutative space