Noncommutative U(1) gauge theory from a worldline perspective

AHMADINIAZ, NASER; CORRADINI, OLINDO; D'ASCANIO, DANIELA; ESTRADA-JIMÉNEZ, SENDIC; PISANI, PABLO

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Año: 2015 vol. 2015 p. 1 - 28

1126-6708

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.