Potential energy of Yang-Mills vortices in three and four dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 p., 1 figure included

Scientific paper

10.1142/S0217732399001826

We calculate the energy of a Yang-Mills vortex as function of its magnetic flux or, else, of the Wilson loop surrounding the vortex center. The calculation is performed in the 1-loop approximation. A parallel with a potential as function of the Polyakov line at nonzero temperatures is drawn. We find that quantized Z(2) vortices are dynamically preferred though vortices with arbitrary fluxes cannot be ruled out.

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