Surface-Invariants in 2D Classical Yang-Mills Theory

Details Surface-Invariants in 2D Classical Yang-Mills Theory Surface-Invariants in 2D Classical Yang-Mills Theory

2005-12-05

arxiv.org/abs/hep-th/0512055v2

Phys.Rev. D73 (2006) 065012

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures

Scientific paper

10.1103/PhysRevD.73.065012

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.

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