Gauge invariant functions of connections

Sengupta, Ambar

doi:10.1090/S0002-9939-1994-1215205-7

Gauge invariant functions of connections
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Proc. Amer. Math. Soc. 121 (1994), 897-905 Request permission

Abstract:

It is shown that, for certain gauge groups, central functions of the holonomy variables do not determine connections up to gauge equivalence. It is also shown that, for a large class of compact groups, such functions do determine connections up to gauge equivalence. It is then shown that, for the latter type of gauge groups, the Euclidean quantum gauge field measure is determined by the expectation values of the Wilson loop variables (products of characters evaluated on holonomies).

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Group theory and quantum mechanics