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Prog. Theor. Phys. Vol. 115 No. 1 (2006) pp. 201-216

Yang-Mills Theory Constructed from Cho-Faddeev-Niemi Decomposition

Kei-Ichi Kondo,^1,2,* Takeharu Murakami^2,** and Toru Shinohara^2,***

¹Department of Physics, Faculty of Science, Chiba University, Chiba 263-8522, Japan
²Graduate School of Science and Technology, Chiba University, Chiba 263-8522, Japan

(Received June 12, 2005)

Abstract:

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.

URL : http://ptp.ipap.jp/link?PTP/115/201/
DOI : 10.1143/PTP.115.201

^*E-mail: kondok@faculty.chiba-u.jp
^**E-mail: tom@cuphd.nd.chiba-u.ac.jp
^***E-mail: sinohara@cuphd.nd.chiba-u.ac.jp

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 120 No. 1 (2008) pp. 1-50 :

   Reformulating SU(N) Yang-Mills Theory Based on Change of Variables

   Kei-Ichi Kondo, Toru Shinohara and Takeharu Murakami

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