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Very high order lattice perturbation theory for Wilson loops · Around

2010

Very high order lattice perturbation theory for Wilson loops

Horsley, R., Hotzel, G., Ilgenfritz, E. -M. et al.

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We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.

This allows us to investigate the behavior of the perturbative series at high orders.
We observe differences in the behavior of perturbative coefficients as a function of the loop order.
Up to $n=20$ we do not see evidence for the often assumed factorial growth of the coefficients.

Built on

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