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

Abstract

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.

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

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