Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39123

Title:	Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory
Authors:	Chen,WF;Lee,HC;Zhu,ZY
Contributors:	物理研究所
Keywords:	QUANTUM-FIELD THEORY;GAUGE-THEORIES;DIMENSIONAL REGULARIZATION;LANDAU GAUGE;RENORMALIZATION;SUPERSYMMETRY;SYMMETRIES
Date:	1997
Issue Date:	2010-07-08 14:05:39 (UTC+8)
Publisher:	中央大學
Abstract:	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.
Relation:	PHYSICAL REVIEW D
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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