TY - JOUR

T1 - One-loop calculations and detailed analysis of the localized non-commutative p-2 U(1) Gauge model

AU - Blaschke, Daniel N.

AU - Rofner, Arnold

AU - Sedmik, René I P

PY - 2010

Y1 - 2010

N2 - This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1/p2 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(D2 θ2D2)-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.

AB - This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1/p2 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(D2 θ2D2)-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.

KW - Gauge field theories

KW - Noncommutative field theory

KW - Renormalization

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U2 - 10.3842/SIGMA.2010.037

DO - 10.3842/SIGMA.2010.037

M3 - Article

AN - SCOPUS:84896060279

SN - 1815-0659

VL - 6

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 037

ER -