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High Energy Physics - Theory

arXiv:hep-th/0511127 (hep-th)
[Submitted on 11 Nov 2005 (v1), last revised 18 Dec 2005 (this version, v2)]

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

Authors:Nicola Caporaso, Sara Pasquetti
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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.
Comments: 30 pages, 2 eps figure, uses axodraw. Citations added
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-th/0511127
  (or arXiv:hep-th/0511127v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0511127
Journal reference: JHEP 0604 (2006) 016
Related DOI: https://doi.org/10.1088/1126-6708/2006/04/016

Submission history

From: Nicola Caporaso [view email]
[v1] Fri, 11 Nov 2005 15:50:34 UTC (71 KB)
[v2] Sun, 18 Dec 2005 15:50:18 UTC (71 KB)
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