Abelian Projection of Massive SU(2) Yang-Mills Theory
Mod.Phys.Lett. A18 (2003) 2051-2070 We derive an effective Abelian gauge theory (EAGT) of a modified SU(2) Yang-Mills theory. The modification is made by explicitly introducing mass terms of the off-diagonal gluon fields into pure SU(2) Yang-Mills theory, in order that Abelian dominance at a long-di...
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Zusammenfassung: | Mod.Phys.Lett. A18 (2003) 2051-2070 We derive an effective Abelian gauge theory (EAGT) of a modified SU(2)
Yang-Mills theory. The modification is made by explicitly introducing mass
terms of the off-diagonal gluon fields into pure SU(2) Yang-Mills theory, in
order that Abelian dominance at a long-distance scale is realized in the
modified theory. In deriving the EAGT, the off-diagonal gluon fields involving
longitudinal modes are treated as fields that produce quantum effects on the
diagonal gluon field and other fields relevant at a long-distance scale. Unlike
earlier papers, a necessary gauge fixing is carried out without spoiling the
global SU(2) gauge symmetry. We show that the EAGT allows a composite of the
Yukawa and the linear potentials which also occurs in an extended dual Abelian
Higgs model. This composite potential is understood to be a static potential
between color-electric charges. In addition, we point out that the EAGT
involves the Skyrme-Faddeev model. |
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DOI: | 10.48550/arxiv.hep-th/0302141 |