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 a link invariant.
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