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.

Noncommutative U(1) gauge theory from a worldline perspective / Naser, Ahmadiniaz; Corradini, Olindo; D'Ascanio, Daniela; Estrada Jimenez, Sendic; Pisani, Pablo. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2015:11(2015), pp. 1-28. [10.1007/JHEP11(2015)069]

Noncommutative U(1) gauge theory from a worldline perspective

CORRADINI, Olindo;
2015

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.
2015
2015
11
1
28
Noncommutative U(1) gauge theory from a worldline perspective / Naser, Ahmadiniaz; Corradini, Olindo; D'Ascanio, Daniela; Estrada Jimenez, Sendic; Pisani, Pablo. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2015:11(2015), pp. 1-28. [10.1007/JHEP11(2015)069]
Naser, Ahmadiniaz; Corradini, Olindo; D'Ascanio, Daniela; Estrada Jimenez, Sendic; Pisani, Pablo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1073748
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