Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-10-15
PoS LAT2009:234,2009
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, 6 figures, XXVII International Symposium on Lattice Field Theory - LAT2009, Beijing
Scientific paper
We complete our high-accuracy studies of the lattice ghost propagator in Landau gauge in Numerical Stochastic Perturbation Theory up to three loops. We present a systematic strategy which allows to extract with sufficient precision the non-logarithmic parts of logarithmically divergent quantities as a function of the propagator momentum squared in the infinite-volume and $a\to 0$ limits. We find accurate coincidence with the one-loop result for the ghost self-energy known from standard Lattice Perturbation Theory and improve our previous estimate for the two-loop constant contribution to the ghost self-energy in Landau gauge. Our results for the perturbative ghost propagator are compared with Monte Carlo measurements of the ghost propagator performed by the Berlin Humboldt university group which has used the exponential relation between potentials and gauge links.
Ilgenfritz Ernst-Michael
Perlt Holger
Renzo Francesco Di
Schiller Avraham
Torrero Christian
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