Perturbative subtraction of lattice artifacts in the computation of renormalization constants



Constantinou, M, Costa, M, Göckeler, 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 .

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Abstract

The determination of renormalization factors is of crucial importance. They relate the observ- ables 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(a2).

Item Type: Conference 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: 21 Apr 2026 20:13
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3002117
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