Surface-Invariants in 2D Classical Yang-Mills Theory

Abstract

We study a method to obtain invariants under area-preserving diffeomorphisms associated to closed curves in the plane from classical Yang-Mills theory in two dimensions. Taking as starting point the Yang-Mills field coupled to non dynamical particles carrying chromo-electric charge, and by means of a perturbative scheme, we obtain the first two contributions to the on shell action, which are area-invariants. A geometrical interpretation of these invariants is given.

17 pages, 2 figures

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Cited by in corpus (2)

• The Topological Theory of the Milnor Invariant $\bar{\mu }(1,2,3)$
• Invariants from classical field theory