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Abelian gauge theories on compact manifolds and the Gribov ambiguity · Around

2007

Abelian gauge theories on compact manifolds and the Gribov ambiguity

Kelnhofer, Gerald

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We study the quantization of abelian gauge theories of principal torus bundles over compact manifolds with and without boundary.

It is shown that these gauge theories suffer from a Gribov ambiguity originating in the non-triviality of the bundle of connections whose geometrical structure will be analyzed in detail.
Motivated by the stochastic quantization approach we propose a modified functional integral measure on the space of connections that takes the Gribov problem into account.
This functional integral measure is used to calculate the partition function, the Greens functions and the field strength correlating functions in any dimension using the fact that the space of inequivalent connections itself admits the structure of a bundle over a finite dimensional torus.

Built on

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1956
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M. Alimohammadi and M. Khorrami
1959
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1966
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1967
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1977
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1978
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1979
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P.K. Mitter and C.M. Viallet
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M. Asorey and P.K. Mitter
1981
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1981
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1982
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