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arXiv · hep-th/9507036

The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant Variables

O. Ganor·J. Sonnenschein
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Abstract

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory. In more than two dimensions the action splits into a topological part and a part proportional to $α_s$. We demonstrate the procedure for $SU(2)$ in three dimensions where we reproduce a gravity-like theory. We discuss the four dimensional case as well. We use a cubic expression in the fields as a space-time metric to obtain a covariant Lagrangian. We also show how the four-dimensional $SU(2)$ theory can be expressed in terms of a local action with six degrees of freedom only.

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O. Ganor, J. Sonnenschein. 1995-08-27. The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant Variables. https://doi.org/10.1142/s0217751x96002625

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