Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Chen, Wei; Semenoff, Gordon W., |
Title |
Two-loop analysis of non-Abelian Chern-Simons theory |
Date |
1992-12 |
Description |
Perturbative renormalization of a non-Abelian Chern-Simons gauge theory is examined. It is demonstrated by explicit calculation that, in the pure Chern-Simons theory, the & function for the coefficient of the Chern-Simons term vanishes to three-loop order. Both dimensional regularization and regularization by introducing a conventional Yang-Mills term in the action are used. It is shown that dimensional regularization is not gauge invariant at two loops. A variant of this procedure, similar to regularization by dimensional reduction used in supersymmetric field theories, is shown to obey the Slavnov-Taylor identity to two loops and gives no renormalization of the Chern-Simons term. Regularization with the Yang-Mills term yields a finite integer-valued renormalization of the coefficient of the Chern-Simons term at one loop, and we conjecture no renormalization at higher order. We also examine the renormalization of Chern-Simons theory coupled to matter. We show that in the non-Abelian case the Chern- Simons gauge field as well as the matter fields require infinite renormalization at two loops and therefore obtain nontrivial anomalous dimensions. We show that the β function for the gauge coupling constant is zero to two-loop order, consistent with the topological quantization condition for this constant. |
Type |
Text |
Publisher |
American Physical Society |
Journal Title |
Physical Review D |
Volume |
46 |
Issue |
12 |
First Page |
5521 |
Last Page |
5539 |
DOI |
10.1103/PhysRevD.46.5521 |
citatation_issn |
0556-2821 |
Subject |
Chern-Simons theory; Yang-Mills theory; Regularization |
Subject LCSH |
Gauge fields (Physics); Quantum field theory |
Language |
eng |
Bibliographic Citation |
Chen, W., Semenoff, G. W., & Wu, Y.-S. (1992). Two-loop analysis of non-Abelian Chern-Simons theory. Physical Review D, 46(12), Dec., 5521-39. |
Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevD.46.5521 |
Format Medium |
application/pdf |
Format Extent |
1,505,134 bytes |
Identifier |
ir-main,9475 |
ARK |
ark:/87278/s69p3jtq |
Setname |
ir_uspace |
ID |
703328 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s69p3jtq |