Abstract
Decomposition of SU(2) gauge field into monopole and monopoleless components is studied in SU(2) gluodynamics and in QC2D with zero and nonzero quark chemical potential after fixing MA gauge. For both components we calculate respective static potential and compare their sum with the nonabelian static potential. We demonstrate good agreement in the confinement phase and discuss the implications of our results.
Highlights
We study decomposition of the nonabelian gauge field in the Maximal Abelian gauge (MAG) [1, 2] into the sum of the monopole component and the monopoleless component
We studied the question of universality of the decomposition for the static potential eq (9)
We studied the decomposition of the static potential into the linear term produced by the monopole (Abelian) gauge field Umon(x) and the Coulomb term produced by the monopoleless nonabelian gauge field Umod(x)
Summary
We study decomposition of the nonabelian gauge field in the Maximal Abelian gauge (MAG) [1, 2] into the sum of the monopole component and the monopoleless component. We consider the following types of the static potential: Vmod(r) obtained from the Wilson loops of the modified gauge field Uμmod(x), Vmon(r) obtained from the Wilson loops of the monopole gauge field umμ on(x) and the sum of these two static potentials. It was demonstrated in [17] for one value of the lattice spacing that Vmod(r) could be well fitted by purely Coulomb fit function and the sum Vmod(r)+Vmon(r) was a good approximation of the original nonabelian static potential, V(r), at all distances. These results were partially presented in [18]
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