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arXiv · hep-th/9408164

Yang-Mills Fields and Riemannian Geometry

Peter E. Haagensen·Kenneth Johnson
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Abstract

It is possible to define new, gauge invariant variables in the Hilbert space of Yang-Mills theories which manifestly implement Gauss' law on physical states. These variables have furthermore a geometrical meaning, and allow one to uncover further constraints physical states must satisfy. For gauge group $SU(2)$, the underlying geometry is Riemannian and based on the group $GL(3)$. The formalism allows also for the inclusion of static color sources and the extension to gauge groups $SU(N>2)$, both of which are discussed here.

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Peter E. Haagensen, Kenneth Johnson. 1995-02-10. Yang-Mills Fields and Riemannian Geometry. https://doi.org/10.1016/0550-3213(94)00464-p

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