One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p(-2) U(1) Gauge Model

Autor(en)

Daniel Blaschke, Arnold Rofner, Rene I. P. Sedmik

Abstrakt

This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the theta-deformed non-commutative 1/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 et al. [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 D-2(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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Technische Universität Wien

Journal

Symmetry, Integrability and Geometry: Methods and Applications

Band

6

Seiten

037

Anzahl der Seiten

20

ISSN

1815-0659

DOI

https://doi.org/10.3842/SIGMA.2010.037

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0a318ec9-4466-4490-a979-786638dbe055