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

S. Kato·K. -I. Kondo·T. Murakami·A. Shibata·T. Shinohara·S. Ito
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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.

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S. Kato, K. -I. Kondo, T. Murakami, A. Shibata, T. Shinohara, S. Ito. 2005-11-02. Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole. https://doi.org/10.1016/j.physletb.2005.10.089

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