Abelian Projection without Ambiguities
نویسندگان
چکیده
منابع مشابه
Abelian Projection without Ambiguities
Laplacian Abelian Projection is discussed. This term refers to the use of a new (“Laplacian”) gauge fixing prescription for implementing the Abelian Projection of QCD. The gauge condition is based on the lowest-lying eigenvector of the covariant Laplacian operator in the adjoint representation. This Laplacian gauge fixing procedure is free of the ambiguities which plague lattice simulations whi...
متن کاملLaplacian 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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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 ...
متن کاملLaplacian 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...
متن کاملFunctional Integration and Gauge Ambiguities in Generalized Abelian Gauge Theories
We consider the covariant quantization of generalized abelian gauge theories on a closed and compact n-dimensional manifold whose space of gauge invariant fields is the abelian group of CheegerSimons differential characters. The space of gauge fields is shown to be a non-trivial bundle over the orbits of the subgroup of smooth Cheeger-Simons differential characters. Furthermore each orbit itsel...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 1998
ISSN: 0375-9687
DOI: 10.1143/ptps.131.149