The Berry Phase and Monopoles in Gluodynamics

Details The Berry Phase and Monopoles in Gluodynamics The Berry Phase and Monopoles in Gluodynamics

2001-10-14

arxiv.org/abs/hep-lat/0110078v1

Nucl.Phys.Proc.Suppl. 106 (2002) 622-624

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(confinement)

Scientific paper

We introduce a gauge invariant definition of a monopole on the lattice. The construction is based on the observation that for each Wilson loop there exists an extra U(1) group which leaves the loop invariant. Since the lattice formulation utilizes the language of Wilson loops, the definition of the monopole charge in terms of this plaquette dependent U(1) is gauge invariant. The explicit construction of gauge invariant monopoles is presented both in continuum and on the lattice.

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