We consider the non-Abelian SU(3) Chern-Simons field theory defined in R3 and S3. The reconstruction theorems for the vacuum expectation values of the Wilson line operators are proved. We give in particular the general expressions for the values of the unknot and of the Hopf link. The physical consequences of the quantization of the coupling constant are studied in detail. The structure of the resulting reduced tensor algebra is derived.

REDUCED TENSOR ALGEBRA IN SU(3) CHERN-SIMONS FIELD THEORY

PILO, LUIGI
1994

Abstract

We consider the non-Abelian SU(3) Chern-Simons field theory defined in R3 and S3. The reconstruction theorems for the vacuum expectation values of the Wilson line operators are proved. We give in particular the general expressions for the values of the unknot and of the Hopf link. The physical consequences of the quantization of the coupling constant are studied in detail. The structure of the resulting reduced tensor algebra is derived.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/7254
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