When analyzed in terms of the Symanzik expansion, lattice correlators of multi-local (gauge-invariant) operators with non-trivial continuum limit exhibit in maximally twisted lattice QCD ''infrared divergent'' cutoff effects of the type a 2k/(m π 2) h, 2k h 1 (k,h integers), which tend to become numerically large when the pion mass gets small. We prove that, if the action is O(a) improved la Symanzik or, alternatively, the critical mass counter-term is chosen in some ''optimal'' way, these lattice artifacts are reduced to terms that are at worst of the order a 2(a 2/m π 2) k-1, k 1. This implies that the continuum extrapolation of lattice results is smooth at least down to values of the quark mass, m q, satisfying the order of magnitude inequality m q>a 2Λ 3 QCD. © SISSA 2006.

Reducing cutoff effects in maximally twisted LQCD close to the chiral limit / Roberto, Frezzotti; Martinelli, Guido; Papinutto, MAURO LUCIO; Giancarlo, Rossi. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2006:4(2006), pp. 038-038. [10.1088/1126-6708/2006/04/038]

Reducing cutoff effects in maximally twisted LQCD close to the chiral limit

MARTINELLI, Guido;PAPINUTTO, MAURO LUCIO;
2006

Abstract

When analyzed in terms of the Symanzik expansion, lattice correlators of multi-local (gauge-invariant) operators with non-trivial continuum limit exhibit in maximally twisted lattice QCD ''infrared divergent'' cutoff effects of the type a 2k/(m π 2) h, 2k h 1 (k,h integers), which tend to become numerically large when the pion mass gets small. We prove that, if the action is O(a) improved la Symanzik or, alternatively, the critical mass counter-term is chosen in some ''optimal'' way, these lattice artifacts are reduced to terms that are at worst of the order a 2(a 2/m π 2) k-1, k 1. This implies that the continuum extrapolation of lattice results is smooth at least down to values of the quark mass, m q, satisfying the order of magnitude inequality m q>a 2Λ 3 QCD. © SISSA 2006.
2006
lattice qcd; nonperturbative effects
01 Pubblicazione su rivista::01a Articolo in rivista
Reducing cutoff effects in maximally twisted LQCD close to the chiral limit / Roberto, Frezzotti; Martinelli, Guido; Papinutto, MAURO LUCIO; Giancarlo, Rossi. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2006:4(2006), pp. 038-038. [10.1088/1126-6708/2006/04/038]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/438237
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