Center Vortices in Continuum Yang-Mills Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13pp, 4figs,Invited talk presented by H. Reinhardt at the International Conference on Confinement and the Structure of Hadrons

Scientific paper

The properties of center vortices are discussed within continuum Yang-Mills theory. By starting from the lattice theory and carefully performing the continuum limit the gauge potential of center vortices is obtained and the continuum analog of the maximal center gauge fixing is extracted. It is shown, that the Pontryagin index of center vortices is given by their self-intersection number, which vanishes unless the center vortices host magnetic monpoles, which make the vortex sheets non-oriented.

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