One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields

doi:10.1088/1674-1056/19/1/010316

Abstract This paper uses the background field method to calculate one-loop divergent corrections to the gauge field propagators in noncommutative U(1) gauge theory with scalar fields. It shows that for a massless scalar field, the gauge field propagators are renormalizable to $\theta^2$-order, but for a massive scalar field they are renormalizable only to $\theta$-order.

Keywords: noncommutative geometry quantum field theory renormalization

Received: 24 February 2009
Revised: 20 March 2009
Accepted manuscript online:

PACS:	11.10.Gh	(Renormalization)
	11.10.Nx	(Noncommutative field theory)
	11.15.-q	(Gauge field theories)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 90303003).

Cite this article:

Huang Jia-Hui(黄家辉) and Sheng Zheng-Mao(盛正卯) One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields 2010 Chin. Phys. B 19 010316

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One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields

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