The Landau gauge lattice ghost propagator in stochastic perturbation theory

Details The Landau gauge lattice ghost propagator in stochastic perturbation theory The Landau gauge lattice ghost propagator in stochastic perturbation theory

2008-09-29

arxiv.org/abs/0809.4950v1

PoS LATTICE2008:217,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, to appear in the Proceedings of the XXVI International Symposium on Lattice Field Theory, July 14 -- 19, 2

Scientific paper

We present one- and two-loop results for the ghost propagator in Landau gauge calculated in Numerical Stochastic Perturbation Theory (NSPT). The one-loop results are compared with available standard Lattice Perturbation Theory in the infinite-volume limit. We discuss in detail how to perform the different necessary limits in the NSPT approach and discuss a recipe to treat logarithmic terms by introducing ``finite-lattice logs''. We find agreement with the one-loop result from standard Lattice Perturbation Theory and estimate, from the non-logarithmic part of the ghost propagator in two-loop order, the unknown constant contribution to the ghost self-energy in the RI'-MOM scheme in Landau gauge. That constant vanishes within our numerical accuracy.

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