Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-04-12
Prog.Theor.Phys. 115 (2006) 201-216
Physics
High Energy Physics
High Energy Physics - Theory
17pages, 1 figure; English improved; a version appeared in Prog. Theor. Phys
Scientific paper
10.1143/PTP.115.201
We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the same local and global gauge symmetries as the original Yang-Mills theory. This may shed new light on the fundamental issue of the discrepancy between two theories for independent degrees of freedom and the role of the Maximal Abelian gauge in Yang-Mills theory. As a byproduct, this consideration gives new insight into the meaning of the gauge invariance and the observables, e.g., a gauge-invariant mass term and vacuum condensates of mass dimension two. We point out the implications for the Skyrme--Faddeev model.
Kondo Kei-Ichi
Murakami Tadayoshi
Shinohara Tadatomi
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