Constantinou, M, Costa, M, Gockeler, M, Horsley, R, Panagopoulos, H, Perlt, H, Rakow, PEL 
ORCID: 0000-0003-4486-2158, Schierholz, G and Schiller, A
(2012)
Perturbative subtraction of lattice artifacts in the computation of
renormalization constants.
.
![[img]](https://livrepository.liverpool.ac.uk/style/images/fileicons/text.png) |
Text
1210.7737v2.pdf - Author Accepted Manuscript Download (134kB) |
Abstract
The determination of renormalization factors is of crucial importance. They relate the observables obtained on finite, discrete lattices to their measured counterparts in the continuum in a suitable renormalization scheme. Therefore, they have to be computed as precisely as possible. A widely used approach is the nonperturbative Rome-Southampton method. It requires, however, a careful treatment of lattice artifacts. They are always present because simulations are done at lattice spacings $a$ and momenta $p$ with $ap$ not necessarily small. In this paper we try to suppress these artifacts by subtraction of one-loop contributions in lattice perturbation theory. We compare results obtained from a complete one-loop subtraction with those calculated for a subtraction of $O(a^2)$.
| Item Type: | Conference or Workshop Item (Unspecified) |
|---|---|
| Additional Information: | 7 pages, 8 figures |
| Uncontrolled Keywords: | hep-lat, hep-lat |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 06 Jul 2016 09:59 |
| Last Modified: | 19 Jan 2023 07:34 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3002117 |
Share
Share
