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Multigrid propagators in the presence of disordered U(1) gauge fields

The projective multigrid technique for a scalar field propagating in a disordered electromagnetic background is formulated in four dimensions. The possible advantages of a multigrid cycle with only a few levels are discussed in the context of four-dimensional systems. Computer simulations for highly...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1991-03, Vol.43 (6), p.1974-1977
Main Authors: BROWER, R. C, MORIARTY, K. J. M, REBBI, C, VICARI, E
Format: Article
Language:English
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Summary:The projective multigrid technique for a scalar field propagating in a disordered electromagnetic background is formulated in four dimensions. The possible advantages of a multigrid cycle with only a few levels are discussed in the context of four-dimensional systems. Computer simulations for highly disordered fields (near the confinement transition) yield a speedup by a factor of 4 for one level and about 10 for two levels, relative to the ideal of 4 and 16, respectively, for the zero-field case.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.43.1974