Lattice construction of Cho - Faddeev - Niemi decomposition and gauge invariant monopole
نویسندگان
چکیده
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.
منابع مشابه
Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
In this paper we begin on a new lattice formulation of the non-linear change of variables called the Cho–Faddeev–Niemi decomposition in SU(2) Yang-Mills theory. This is a compact lattice formulation improving the non-compact lattice formulation proposed in our previous paper. Based on this formulation, we propose a new gauge-invariant definition of the magnetic monopole current which guarantees...
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