Two-Loop Finiteness of Chern-Simons Field Theory in Background Field Method

Abstract

We perform two-loop calculation of Chern-Simons in background field method using the hybrid regularization of higher-covariant derivative and dimensional regularization. It is explicitly shown that Chern-Simons field theory is finite at the two-loop level. This finiteness plays an important role in the relation of Chern-Simons theory with two-dimensional conformal field theory and the description of link invariant.

RevTex, 13 pages. The proof of the existence of the large topological mass limit has been proved. Some typewritten mistakes have been corrected

References in corpus (2)

• Two-Loop Analysis of Non-abelian Chern-Simons Theory
• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory

Cited by in corpus (3)

• Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field
• Perturbative Analysis of Chern-Simons Field Theory in the Coulomb Gauge
• Chern-Simons Field Theories in the Coulomb Gauge