Yang-Mills theory in terms of gauge invariant dual variables

Details Yang-Mills theory in terms of gauge invariant dual variables Yang-Mills theory in terms of gauge invariant dual variables

2002-12-16

arxiv.org/abs/hep-th/0212187v1

Physics

High Energy Physics

High Energy Physics - Theory

13 p., invited talk at `Confinement-5', Lago di Garda, 10-14 Sep 2002; a slightly extended version of the contribution to the

Scientific paper

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of the Yang-Mills theory, which mixes up fields with spins up to J=N for the SU(N) gauge group. In the simplest case of the SU(2) group the dual space seems to tend to the de Sitter space in the infrared region. This observation suggests a new mechanism of gauge-invariant mass generation in the Yang-Mills theory.

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