Noncommutative U(1) gauge theory from a worldline perspective

• Autores: Ahmadiniaz, Naser; Corradini, Olindo; D'Ascanio, Daniela; Estrada Jiménez, Sendric; González Pisani, Pablo Andrés
• Año de publicación: 2015
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Ciencias Exactas; Física; Non-Commutative Geometry; Renormalization Regularization and Renormalons; Scattering Amplitudes
• Institución: Universidad Nacional de La Plata

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.
Facultad de Ciencias Exactas
Instituto de Física La Plata