Gauge Fields with Generic Singularities |
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Authors: | Pnevmatikos Spyros Pliakis Dimitris |
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Institution: | (1) Department of Mathematics, University of Patras, 26500 Patras, Greece;(2) Department of Physics, University of Crete, 71409 Heraklion, Greece |
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Abstract: | Let Mbe an n-dimensional manifold equipped with an Abelian Yang–Mills field with connection form . We consider an external potential function Vand examine the existence and regularity of the vortex lines of the form +V dtwhich define the motion of a particle weakly coupled to the Yang–Mills field on M. These curves are smooth unless the curvature form d is singular and in this paper we treat this singular case from a generic aspect. The problem reduces to the division properties for smooth functions and differential forms, the development of which constitutes the main part of the work presented here. |
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Keywords: | gauge theory singularities stratifications |
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