New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement

Details New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement

2008-03-17

arxiv.org/abs/0803.2451v2

Phys.Lett.B669:107-118,2008

Physics

High Energy Physics

High Energy Physics - Lattice

Cover+18 pages, 1 figure; version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2008.09.031

We give new descriptions of lattice SU(N) Yang-Mills theory in terms of new lattice variables. The validity of such descriptions has already been demonstrated in the SU(2) Yang-Mills theory by our previous works from the viewpoint of defining and extracting topological degrees of freedom such as gauge-invariant magnetic monopoles and vortices which play the dominant role in quark confinement. In particular, we have found that the SU(3) lattice Yang-Mills theory has two possible options, maximal and minimal: The existence of the minimal option has been overlooked so far, while the maximal option reproduces the conventional SU(3) Cho-Faddeev-Niemi-Shabanov decomposition in the naive continuum limit. The new description gives an important framework for understanding the mechanism of quark confinement based on the dual superconductivity.

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