One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD

Details One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD

2007-06-11

arxiv.org/abs/0706.1440v1

Phys.Lett.B651:253-256,2007

Physics

High Energy Physics

High Energy Physics - Theory

8 latex pages

Scientific paper

10.1016/j.physletb.2007.06.021

We compute the one loop anomalous dimension of the gauge invariant dimension two operator min_U (A^U_mu)^2, where U is an element of the gauge group, by exploiting Zwanziger's expansion of the operator in terms of gauge invariant non-local n leg operators. The computation is performed in an arbitrary linear covariant gauge and the cancellation of the gauge parameter in the final anomalous dimension is demonstrated explicitly. The result is equivalent to the one loop anomalous dimension of the local dimension two operator (A^a_mu)^2 in the Landau gauge.

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