Dual transformation in non-Abelian gauge theories

Physical Review D Volume 19 Page 3744-3753 published_at 1979
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Title ( eng )
Dual transformation in non-Abelian gauge theories
Creator
Seo Koichi
Sugamoto Akio
Source Title
Physical Review D
Volume 19
Start Page 3744
End Page 3753
Descriptions
The dual transformation is applied to non-Abelian gauge theories in four dimensions. It is shown that after the dual transformation the SU(2) Higgs-Kibble models give the same partition functions as the relativistic hydrodynamics of Freedman coupled to Higgs scalars and that these two theories have various dual relations. The hydrodynamics thus obtained is naturally defined as an expansion in the inverse of the original coupling constant. There exists a simple classical solution representing a circulation flow of fluid (vorticity) in the hydrodynamics with two triplets of Higgs scalars. This vorticity solution satisfies a flux quantization rule and corresponds to the vortex solution of Nielsen and Olesen in the non-Abelian Higgs-Kibble model.
NDC
Physics [ 420 ]
Language
eng
Resource Type journal article
Publisher
The American Physical Society
Date of Issued 1979
Rights
Copyright (c) 1979 The American Physical Society
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1550-7998
[DOI] http://dx.doi.org/10.1103/PhysRevD.19.3744