Reformulating SU(N) Yang-Mills theory based on change of variables

Details Reformulating SU(N) Yang-Mills theory based on change of variables Reformulating SU(N) Yang-Mills theory based on change of variables

2008-03-03

arxiv.org/abs/0803.0176v2

Prog.Theor.Phys.120:1-50,2008

Physics

High Energy Physics

High Energy Physics - Theory

51 pages, 1 figure; version to be published in Prog. Theor. Phys. Vol. 120, No.1 (2008)

Scientific paper

10.1143/PTP.120.1

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us to study the low-energy dynamics by explicitly extracting the topological degrees of freedom such as magnetic monopoles and vortices to clarify the mechanism for quark confinement. The dual superconductivity in Yang-Mills theory is understood in a gauge-invariant manner, as demonstrated recently by a non-Abelian Stokes theorem for the Wilson loop operator, although the basic idea of this reformulation is based on the Cho-Faddeev-Niemi decomposition of the gauge potential.

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