Stochastic Perturbation Theory and the Gluon Condensate

Abstract

On the lattice searching for the gluon condensate is difficult because a large perturbative contribution to the expectation value of the action has to be subtracted before looking for a small contribution from a possible gluon condensate. The perturbative calculation therefore has to be very precise. We use a modified version of stochastic perturbation theory to calculate a perturbative series in a boosted coupling, which converges more rapidly than the series with the usual lattice coupling, reducing the uncertainties in our results. We do not see any condensate of dimension two, as suggested by some earlier lattice studies, but we do find a contribution from a dimension four condensate. The value of this condensate is approximately 0.04(1) GeV^4, but with large uncertainties.

arXiv comment6 pages, 4 figures, contribution to Lattice2005(Theoretical developments)

References in corpus (1)

• About a possible 3rd order phase transition at T=0 in 4D gluodynamics

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