Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory | |
Zhu, ZY; Chen, WF; Lee, HC; Chen, WF , HELSINKI INST PHYS, POB 9 SILTAVUORENPENGER 20 C, FIN-00014 HELSINKI, FINLAND. | |
刊名 | PHYSICAL REVIEW D
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1997 | |
卷号 | 55期号:6页码:3664-3673 |
关键词 | Quantum-field Theory Gauge-theories Dimensional Regularization Landau Gauge Renormalization Supersymmetry Symmetries |
ISSN号 | 0556-2821 |
英文摘要 | We apply a differential renormalization method to the study of three-dimensional topologically massive Yang-Mills and Chern-Simons theories. The method is especially suitable for such theories as it avoids the need for dimensional continuation of a three-dimensional antisymmetric tensor and the Feynman rules for three-dimensional theories in coordinate space are relatively simple. The calculus involved is still lengthy but not as difficult as other existing methods of calculation. We compute one-loop propagators and vertices and derive the one-loop local effective action for topologically massive Yang-Mills theory. We then consider Chern-Simons field theory as the large mass limit of topologically massive Yang-Mills theory and show that this leads to the famous shift in the parameter k. Some useful formulas for the calculus of differential renormalization of three-dimensional field theories are given in an Appendix. |
学科主题 | Physics |
URL标识 | 查看原文 |
WOS记录号 | WOS:A1997WQ10200045 |
公开日期 | 2012-08-29 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/12504] ![]() |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | Chen, WF , HELSINKI INST PHYS, POB 9 SILTAVUORENPENGER 20 C, FIN-00014 HELSINKI, FINLAND. |
推荐引用方式 GB/T 7714 | Zhu, ZY,Chen, WF,Lee, HC,et al. Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory[J]. PHYSICAL REVIEW D,1997,55(6):3664-3673. |
APA | Zhu, ZY,Chen, WF,Lee, HC,&Chen, WF , HELSINKI INST PHYS, POB 9 SILTAVUORENPENGER 20 C, FIN-00014 HELSINKI, FINLAND..(1997).Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory.PHYSICAL REVIEW D,55(6),3664-3673. |
MLA | Zhu, ZY,et al."Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory".PHYSICAL REVIEW D 55.6(1997):3664-3673. |
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