Theory of Abelian projection

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Theory of Abelian Projection

Analytic methods for Abelian projection are developed. A number of results are obtained related to string tension measurements. It is proven that even without gauge fixing, abelian projection yields string tensions of the underlying non-Abelian theory. Strong arguments are given for similar results in the case where gauge fixing is employed. The methods used emphasize that the projected theory ...

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Laplacian Abelian Projection

A new partial gauge fixing condition for the abelian projection is introduced. It is based on the lowest-lying eigenvector of a covariant Laplacian operator. This gauge is smooth and free of lattice Gribov copies. These properties are important for an unambiguous computation of the abelian projected gauge field configuration.

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Laplacian Abelian Projection: Abelian dominance and Monopole dominance

Despite its many successes, the Maximally Abelian Gauge (MAG) [1] has the great drawback that it is ambiguous. A precise way to phrase this ambiguity is as follows: it is in general unlikely, and certainly impossible to guarantee, that the configuration obtained by the usual local iterative minimization algorithm be (arbitrarily) close to the desired configuration {Ūμ,x = Ω̄xUμ,xΩ̄ + x+μ̂}, no mat...

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Monopoles in the Abelian Projection of

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ژورنال

عنوان ژورنال: Physical Review D

سال: 1999

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.59.074505