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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10316-010316.doi: 10.1088/1674-1056/19/1/010316

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

黄家辉, 盛正卯

Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China

收稿日期:2009-02-24 修回日期:2009-03-20 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 90303003).

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

Huang Jia-Hui(黄家辉) and Sheng Zheng-Mao(盛正卯)^†

Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China

Received:2009-02-24 Revised:2009-03-20 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 90303003).

摘要/Abstract

摘要： 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 θ²-order, but for a massive scalar field they are renormalizable only to θ-order.

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.

Key words: noncommutative geometry, quantum field theory, renormalization

中图分类号: (Renormalization)

11.10.Gh

11.10.Nx (Noncommutative field theory) 11.15.-q (Gauge field theories)

黄家辉, 盛正卯. One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields[J]. 中国物理B, 2010, 19(1): 10316-010316.

Huang Jia-Hui(黄家辉) and Sheng Zheng-Mao(盛正卯). One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields[J]. Chin. Phys. B, 2010, 19(1): 10316-010316.

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

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

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