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

Symmetry Integrability and Geometry-Methods and Applications

article

Daniel N. Blaschke¹  Arnold Rofner¹  René I.P. Sedmik¹ 

[1] Institute for Theoretical Physics, Vienna University of Technology;Faculty of Physics, University of Vienna

关键词: noncommutative field theory;    gauge field theories;    renormalization;   

DOI  :  10.3842/SIGMA.2010.037

来源: National Academy of Science of Ukraine

【 摘 要 】

This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 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 θ 2 D 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.

【 授权许可】

Unknown