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arXiv · 1507.07033

Noncommutative U(1) gauge theory from a worldline perspective

Naser Ahmadiniaz·Olindo Corradini·Daniela D'Ascanio·Sendic Estrada-Jimenez·Pablo Pisani
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Abstract

We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance, and then employ the worldline formalism to write the one-loop effective action, singling out UV-divergent parts and finite (planar and non-planar) parts, and study renormalization properties of the theory. This amounts to employ worldline Feynman rules for the phase space path integral, that nicely incorporate the Fadeev-Popov ghost contribution and efficiently separate planar and non-planar contributions. We also show that the effective action calculation is independent of the choice of the worldline Green's function, that corresponds to a particular way of factoring out a particle zero-mode. This allows to employ homogeneous string-inspired Feynman rules that greatly simplify the computation.

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Naser Ahmadiniaz, Olindo Corradini, Daniela D'Ascanio, Sendic Estrada-Jimenez, Pablo Pisani. 2015-11-24. Noncommutative U(1) gauge theory from a worldline perspective. https://doi.org/10.1007/jhep11(2015)069

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