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Discretization Errors for the Gluon and Ghost Propagators in Landau Gauge using NSPT | | Jakob Simeth
; Andre Sternbeck
; Ernst-Michael Ilgenfritz
; Holger Perlt
; Arwed Schiller
; | | Date: |
8 Nov 2013 | | Abstract: | The subtraction of hypercubic lattice corrections, calculated at 1-loop order
in lattice perturbation theory (LPT), is common practice, e.g., for
determinations of renormalization constants in lattice hadron physics.
Providing such corrections beyond 1-loop order is however very demanding in
LPT, and numerical stochastic perturbation theory (NSPT) might be the better
candidate for this. Here we report on a first feasibility check of this method
and provide (in a parametrization valid for arbitrary lattice couplings) the
lattice corrections up to 3-loop order for the SU(3) gluon and ghost
propagators in Landau gauge. These propagators are ideal candidates for such a
check, as they are available from lattice simulations to high precision and can
be combined to a renormalization group invariant product (Minimal MOM coupling)
for which a 1-loop LPT correction was found to be insufficient to remove the
bulk of the hypercubic lattice artifacts from the data. As a bonus, we also
compare our results with the ever popular H(4) method. | | Source: | arXiv, 1311.1934 | | Services: | Forum | Review | PDF | Favorites | |
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