Quantization of gauge theory on a curved noncommutative space

被引：3

作者：

Buric, M. ^{[1
]}

Dimitrijevic, M. ^{[1
]}

Radovanovic, V. ^{[1
]}

Wohlgenannt, M. ^{[2
]}

机构：

[1] Univ Belgrade, Fac Phys, SR-11001 Belgrade, Serbia

[2] Univ Vienna, Fac Phys, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 10期

关键词：

LOOP CALCULATIONS; MODEL;

D O I：

10.1103/PhysRevD.86.105024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study quantization of a gauge analogon of the Grosse-Wulkenhaar scalar field model. We calculate divergent first-order one-loop contributions to the tadpoles and the propagators: we find that there are no UV divergences while all IR divergences are logarithmic. Divergent terms which we obtain can be included in the initial action either by a shift of the vacuum or by adding the Chern-Simons term. Our results, though partial, indicate renormalizability: they need to be complemented by calculation of the second-order divergent contributions to the propagators and vertices.

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页数：17

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