On the Effective Action of Noncommutative Yang-Mills Theory
Axel de Goursac
TL;DR
This paper computes the effective action of noncommutative Yang-Mills theory on Moyal space, revealing potential renormalizability and connecting scalar field integration with gauge theory in a noncommutative setting.
Contribution
It introduces a method to derive the Yang-Mills effective action on Moyal space by integrating scalar fields with a harmonic term, highlighting a possible route to renormalizable noncommutative gauge theories.
Findings
Effective action computed on Moyal space.
Potential renormalizability of noncommutative Yang-Mills.
Links established with Schwinger parametric representation.
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.
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