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Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED

Caporaso, N and Pasquetti, S (2006) Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED JHEP, 0604.

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Abstract

We re-examine the perturbative properties of four-dimensional non-commutative QED by extending the pinch techniques to the theta-deformed case. The explicit independence of the pinched gluon self-energy from gauge-fixing parameters, and the absence of unphysical thresholds in the resummed propagators permits a complete check of the optical theorem for the off-shell two-point function. The known anomalous (tachyonic) dispersion relations are recovered within this framework, as well as their improved version in the (softly broken) SUSY case. These applications should be considered as a first step in constructing gauge-invariant truncations of the Schwinger-Dyson equations in the non-commutative case. An interesting result of our formalism appears when considering the theory in two dimensions: we observe a finite gauge-invariant contribution to the photon mass because of a novel incarnation of IR/UV mixing, which survives the commutative limit when matter is present.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Caporaso, NUNSPECIFIEDUNSPECIFIED
Pasquetti, SUNSPECIFIEDUNSPECIFIED
Date : 7 April 2006
Identification Number : 10.1088/1126-6708/2006/04/016
Uncontrolled Keywords : hep-th, hep-th, hep-ph
Related URLs :
Additional Information : © 2006. Published with a Creative Commons 4.0 Licence. The published version can be found here: http://dx.doi.org/10.1088/1126-6708/2006/04/016
Depositing User : Symplectic Elements
Date Deposited : 22 Jan 2016 09:48
Last Modified : 22 Jan 2016 12:42
URI: http://epubs.surrey.ac.uk/id/eprint/809369

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