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

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.3664· OSTI ID:517015

Chen, W F ^[1]; Lee, H C ^[2]; Zhu, Z Y ^[3]

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1. Helsinki Institute of Physics, P.O. Box 9 (Siltavuorenpenger 20 C), FIN-000014, Helsinki (Finland)
2. Department of Physics, National Central University, Chungli, Taiwan 320 (China)
3. CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080 (China)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 517015
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FEYNMAN DIAGRAM
MASS
PROPAGATOR
QUANTUM FIELD THEORY
RENORMALIZATION
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
YANG-MILLS THEORY