A note on perturbative Chern-Simons theory

L. Alvarez-Gaumé; J. M.F. Labastida; A. V. Ramallo

doi:10.1016/0550-3213(90)90658-Z

A note on perturbative Chern-Simons theory

L. Alvarez-Gaumé
, J. M.F. Labastida
, A. V. Ramallo

Simons Center for Geometry & Physics

CERN

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

118 Scopus citations

Abstract

Chern-Simons theory for non-abelian gauge groups is analyzed from a perturbative point of view. Using a gauge invariant regularization based on higher derivatives and Pauli-Villars it is shown that the theory is finite at one loop, and that quantum corrections lead to a one-loop effective action consisting of a Chern-Simons term in which the parameter k is shifted to k → k + c_v, where c_v is the quadratic Casimir in the adjoint representation of the gauge group.

Original language	English
Pages (from-to)	103-124
Number of pages	22
Journal	Nuclear Physics, Section B
Volume	334
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(90)90658-Z
State	Published - Apr 9 1990

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title = "A note on perturbative Chern-Simons theory",

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AU - Labastida, J. M.F.

AU - Ramallo, A. V.

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N2 - Chern-Simons theory for non-abelian gauge groups is analyzed from a perturbative point of view. Using a gauge invariant regularization based on higher derivatives and Pauli-Villars it is shown that the theory is finite at one loop, and that quantum corrections lead to a one-loop effective action consisting of a Chern-Simons term in which the parameter k is shifted to k → k + cv, where cv is the quadratic Casimir in the adjoint representation of the gauge group.

AB - Chern-Simons theory for non-abelian gauge groups is analyzed from a perturbative point of view. Using a gauge invariant regularization based on higher derivatives and Pauli-Villars it is shown that the theory is finite at one loop, and that quantum corrections lead to a one-loop effective action consisting of a Chern-Simons term in which the parameter k is shifted to k → k + cv, where cv is the quadratic Casimir in the adjoint representation of the gauge group.

UR - https://www.scopus.com/pages/publications/0040694166

U2 - 10.1016/0550-3213(90)90658-Z

DO - 10.1016/0550-3213(90)90658-Z

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JO - Nuclear Physics, Section B

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IS - 1

ER -

A note on perturbative Chern-Simons theory

Abstract

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