Four-dimension aspect of the perturbative renormalization in three-dimensional Chern-Simons theory

M. A. Shifman

doi:10.1016/0550-3213(91)90130-P

Four-dimension aspect of the perturbative renormalization in three-dimensional Chern-Simons theory

M. A. Shifman

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

I discuss the Chern-Simons non-abelian gauge theories in 3 dimensions from a perturbative point of view. It is found that the shift k → k + T(G) can be considered as a one-loop infrared effect taking place in the transition from the Wilson operator language to the background field formalism. This phenomenon has the same nature as the renormalization of the topological charge in four-dimensional Yang-Mills theories like QCD. It is shown that both effects are just proportional to each other with a trivial difference due to overall normalization factors.

Original language	English (US)
Pages (from-to)	87-112
Number of pages	26
Journal	Nuclear Physics, Section B
Volume	352
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(91)90130-P
State	Published - Mar 18 1991

Bibliographical note

Funding Information:
* Work supported in part by Schweizerischer Nationalfonds. ** On leave of absence from ITEP, Moscow 117259, USSR.

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10.1016/0550-3213(91)90130-P

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abstract = "I discuss the Chern-Simons non-abelian gauge theories in 3 dimensions from a perturbative point of view. It is found that the shift k → k + T(G) can be considered as a one-loop infrared effect taking place in the transition from the Wilson operator language to the background field formalism. This phenomenon has the same nature as the renormalization of the topological charge in four-dimensional Yang-Mills theories like QCD. It is shown that both effects are just proportional to each other with a trivial difference due to overall normalization factors.",

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N2 - I discuss the Chern-Simons non-abelian gauge theories in 3 dimensions from a perturbative point of view. It is found that the shift k → k + T(G) can be considered as a one-loop infrared effect taking place in the transition from the Wilson operator language to the background field formalism. This phenomenon has the same nature as the renormalization of the topological charge in four-dimensional Yang-Mills theories like QCD. It is shown that both effects are just proportional to each other with a trivial difference due to overall normalization factors.

AB - I discuss the Chern-Simons non-abelian gauge theories in 3 dimensions from a perturbative point of view. It is found that the shift k → k + T(G) can be considered as a one-loop infrared effect taking place in the transition from the Wilson operator language to the background field formalism. This phenomenon has the same nature as the renormalization of the topological charge in four-dimensional Yang-Mills theories like QCD. It is shown that both effects are just proportional to each other with a trivial difference due to overall normalization factors.

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Four-dimension aspect of the perturbative renormalization in three-dimensional Chern-Simons theory

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