Ward identities for Yang-Mills theory in Abelian gauges: Abelian dominance at high-energies

Quandt, M.; Reinhardt, H.

doi:10.1016/S0370-2693(98)00137-3

Ward identities for Yang-Mills theory in Abelian gauges: Abelian dominance at high-energies

M. Quandt
(
- Tubingen U.
)
,
H. Reinhardt
(
- Tubingen U.
)

Dec, 1997

10 pages

Published in:

Phys.Lett.B 424 (1998) 115-124

e-Print:

hep-th/9712181 [hep-th]

DOI:

10.1016/S0370-2693(98)00137-3

Report number:

UNITU-THEP-20-1997

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Abstract:

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.

Note:

11 pages, LaTeX Report-no: UNITU-THEP-20/1997

gauge field theory: SU(N)
Ward identity
dependence: gauge
effective action
renormalization
two-point function
ghost
asymptotic freedom

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