Differential regularization of some 3-dimensional theories

	Differential regularization of some 3-dimensional theories
	Chen, WF; Zhu, ZY; Lee, HC
	1998
会议日期	AUG 10-19, 1996
会议地点	URUMQI, PEOPLES R CHINA
页码	293-306
英文摘要	We apply differential renormalization method in a study of three-dimensional topologically massive Yang-Mills theory, Chern-Simons theory and 3-dimensional QED. The method is especially suitable for such theories as it avoids the need for dimensional continuation of the three-dimensional antisymmetric tensor and its 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 the topologically massive Yang-Mills theory. We then consider the Chern-Simons field theory as the large mass limit of the topologically massive Yang-Mills theory, and show that this leads to the well-known shift in the parameter Ic. Some useful formulas for the calculus of differential renormalization of three-dimensional field theories are given in the Appendix.
会议录	FRONTIERS IN QUANTUM FIELD THEORY, PROCEEDINGS OF THE INTERNATIONAL WORKSHOP
会议录出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
会议录出版地	SINGAPORE
语种	英语
ISBN号	981-02-3630-1
WOS研究方向	Physics
内容类型	会议论文
源URL	[http://ir.itp.ac.cn/handle/311006/23783]
专题	SCI会议论文
作者单位	Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, WF,Zhu, ZY,Lee, HC. Differential regularization of some 3-dimensional theories[C]. 见:. URUMQI, PEOPLES R CHINA. AUG 10-19, 1996.