The Monopole Dominance in QCD
نویسنده
چکیده
A projection (gauge) independent formulation of the monopole dominance, discovered in lattice QCD for the maximal abelian projection, is given. A new dynamical abelian projection of continuum QCD, which does not rely on any explicit gauge condition imposed on gauge fields, is proposed. Under the assumption that the results of numerical simulations hold in the continuum limit, the monopole dominance is proved for the dynamical abelian projection. The latter enables us to develop an effective scalar field theory for dominant (monopole) configurations of gauge fields. The approach is manifestly gauge and Lorentz invariant. 1. The Coulomb problem in QCD To calculate an interaction energy V (R) of two static color sources separated by a distance R in non-abelian gauge theory, one has to analyze the behavior of the Wilson loop expectation value in the large Euclidean time limit
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