Ward Identities for Yang-Mills Theory in Abelian Gauges: Abelian Dominance at High Energies

Details Ward Identities for Yang-Mills Theory in Abelian Gauges: Abelian Dominance at High Energies Ward Identities for Yang-Mills Theory in Abelian Gauges: Abelian Dominance at High Energies

1997-12-18

arxiv.org/abs/hep-th/9712181v1

Phys.Lett. B424 (1998) 115-124

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(98)00137-3

We consider Yang-Mills theory in a general class of Abelian gauges. Exploiting the residual Abelian symmetry on a quantum level, we derive a set of Ward identities in functional form, valid to all orders in perturbation theory. As a consequence, the coupling constant is only renormalised through the Abelian two-point function. This implies that asymptotic freedom in all Abelian gauges can be understood from an effective Abelian theory alone, which can be interpreted as Abelian dominance in the high energy regime.

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