Non-Abelian Stokes Theorem and Quark-Monopole Interaction

Details Non-Abelian Stokes Theorem and Quark-Monopole Interaction Non-Abelian Stokes Theorem and Quark-Monopole Interaction

1996-06-17

arxiv.org/abs/hep-th/9606104v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, plain LaTeX, no figures

Scientific paper

We derive a new non-abelian Stokes theorem by rewriting the Wilson loop as a gauge-invariant area integral, at the price of integrating over an auxiliary field from the coset SU(N) / [U(1)]^{N-1} space. We then introduce the relativistic quark--monopole interaction as a Wess--Zumino-type action, and extend it to the non-abelian case. We show that condensation of monopoles and confinement can be investigated in terms of the behaviour of the monopole world lines. One can thus avoid hard problems of how to introduce monopole fields and dual Yang--Mills potentials.

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