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Dual formulation of non-Abelian gauge theories

1980; American Physical Society; Volume: 21; Issue: 10 Linguagem: Inglês

10.1103/physrevd.21.2916

1538-4500

Yoichi Kazama, Robert Savit,

Cosmology and Gravitation Theories

Motivated by an analogy with Abelian theories, we construct a new duality transformation for non-Abelian gauge theories. For large coupling the gauge-theory vacuum should have its most important contributions from configurations of the dual fields without large fluctuations. The generating functional when expressed in terms of the dual variables has a rather simple and suggestive structure which manifests some features of a gauge theory, but now a gauge theory of the dual variables with the coupling constant inverted. We discuss several aspects of this representation including the possibility of using it as the basis for a strong-coupling expansion for the field theory. We also investigate a systematic, formal (perturbative) solution to a constraint condition among our dual variables which has the form of a Bianchi identity.