The quantization of the non-abelian Chern-Simons theory in three dimensions is performed in the framework of the BRS formalism. The perturbative analysis at two loops confirms that the model is finite. The vacuum expectation values of the Wilson line operators $<W(L)>$ are computed to second order of perturbation theory. The meaning of the framing procedure for knots is analyzed in the context of the Chern-Simons field theory. The relation between $<W(L)>$ and the link invariant polynomials is discussed. We derive an explicit analytic expression for the second coefficient of the Alexander-Conway polynomial, which is related to the Arf and Casson invariants.
Chern-Simons Field Theory and Link Invariants
GUADAGNINI, ENORE;
1990-01-01
Abstract
The quantization of the non-abelian Chern-Simons theory in three dimensions is performed in the framework of the BRS formalism. The perturbative analysis at two loops confirms that the model is finite. The vacuum expectation values of the Wilson line operators $I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
