2005/04/30 by K. -I. Kondo, K.-I. Kondo, T. Murakami +1 · 2 citations
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #International Science and Diplomacy #Quantum and Classical Electrodynamics #hep-ph #hep-th
paper · pdf · doi:10.1143/ptp.115.201
published as Prog.Theor.Phys. 115 (2006) 201-216 · 17pages, 1 figure; English improved; a version appeared in Prog. Theor. Phys
openalex publication_date 2006/01/01 · arxiv created 2006/04/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.