info:eu-repo/semantics/article
Noncommutative U(1) gauge theory from a worldline perspective
Fecha
2015-11Registro en:
Ahmadiniaz, Naser; Corradini, Olindo; D'ascanio, Daniela; Estrada Jiménez, Sendic; González Pisani, Pablo Andrés; Noncommutative U(1) gauge theory from a worldline perspective; Springer; Journal of High Energy Physics; 2015; 11; 11-2015; 1-28
1126-6708
CONICET Digital
CONICET
Autor
Ahmadiniaz, Naser
Corradini, Olindo
D'ascanio, Daniela
Estrada Jiménez, Sendic
González Pisani, Pablo Andrés
Resumen
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.