Speaker
Clemens Bauer
(University of Regensburg, Germany)
Description
We present new results from lattice perturbation theory (LPT) for the the static quark self-energy (SE) obtained from Polyakov loops at high orders (up to 12 loops). For the first time we implemented Numerical Stochastic Perturbation Theory (NSPT) with twisted boundary conditions (TBC), thereby eliminating zero modes. In previous simulations at high beta, TBC were shown to dramatically reduce the finite-volume corrections on perturbative expansions [e.g. Nobes et al., Nucl. Phys. Proc. Suppl., 2002, 106, 838-840]. We exploit this for measuring Polyakov loops up to 12 loops. From this one can extract the SE. Renormalon physics predicts the SE to exhibit a leading renormalon which differs significantly from its far more studied Plaquette counterpart: firstly, the SE's factorial divergence is expected to have a different asymptotic behaviour. Secondly, the leading SE renormalon should emerge four times as fast in the perturbative expansion, due to its position in the Borel plane. We will confront these predictions with our simulations. We will also present results for the SE in the octet representation.
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Primary authors
Clemens Bauer
(University of Regensburg, Germany)
Prof.
Gunnar Bali
(University of Regensburg, Germany)
