Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole

Details Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole

2005-09-21

arxiv.org/abs/hep-lat/0509069v2

Phys.Lett. B632 (2006) 326-332

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 3 figures, (v2)corrected typos,version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.10.089

We present the first implementation of the Cho--Faddeev--Niemi decomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations. Moreover, we propose a gauge-invariant definition of the magnetic monopole current using this formulation and compare the new definition with the conventional one by DeGrand and Toussaint to exhibit its validity.

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