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arXiv · hep-th/9807167

Abelianization of Low Energy SU(2) Effective Action

Manu Mathur
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Abstract

Recently Faddeev and Niemi proposed a low energy effective action for pure SU(2) Yang Mills theory in 4 dimension to describe its long distance physics. The effective action is O(3) $σ$ model with a mass parameter, a dimensionless coupling constant e and a topological term. In this work, choosing a new set of variables, we relate this $σ$ model to a U(1) gauge theory with electric and magnetic charges of charge e and $4 πe^{-1}$ respectively. In the new formulation the connection of the mass parameter with the monopole condensate is discussed. This theory after lattice regularisation is the compact U(1) gauge theory coupled to electric charges.

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Manu Mathur. 1998-07-22. Abelianization of Low Energy SU(2) Effective Action. https://arxiv.org/abs/hep-th/9807167

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