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This article is cited in 5 scientific papers (total in 5 papers)
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative $p^{-2}$ $U(1)$ Gauge Model
Daniel N. Blaschkeab, Arnold Rofnerb, René I. P. Sedmikb a Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
b Institute for Theoretical Physics, Vienna University of Technology,
Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria
Abstract:
This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the $\theta$-deformed $\frac1{p^2}$ model originally introduced by Gurau et. al. [Comm. Math. Phys. 287 (2009), 275–290]. It is shown that breaking terms of the form used by Vilar [J. Phys. A: Math. Theor. 43 (2010), 135401, 13 pages] and ourselves [Eur. Phys. J. C: Part. Fields 62 (2009), 433–443] to localize the BRST covariant operator $(D^2\theta^2D^2)^{-1}$ lead to difficulties concerning renormalization. The reason is that this dimensionless operator is invariant with respect to any symmetry of the model, and can be inserted to arbitrary power. In the present article we discuss explicit one-loop calculations, and analyze the mechanism the mentioned problems originate from.
Keywords:
noncommutative field theory; gauge field theories; renormalization.
Received: February 10, 2010; in final form April 23, 2010; Published online May 4, 2010
Citation:
Daniel N. Blaschke, Arnold Rofner, René I. P. Sedmik, “One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative $p^{-2}$ $U(1)$ Gauge Model”, SIGMA, 6 (2010), 037, 20 pp.
Linking options:
https://www.mathnet.ru/eng/sigma494 https://www.mathnet.ru/eng/sigma/v6/p37
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