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(pi)(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 a 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(pi)(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 mq > a(2)Lambda(3)(QCD).

Frezzotti, R., Martinelli, G., Papinutto, M., Rossi, G. (2006). Reducing cuto effects in maximally twisted LQCD close to the chiral limit. JOURNAL OF HIGH ENERGY PHYSICS(4) [10.1088/1126-6708/2006/04/038].

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

FREZZOTTI, ROBERTO;ROSSI, GIANCARLO
2006-01-01

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(pi)(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 a 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(pi)(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 mq > a(2)Lambda(3)(QCD).
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
nonperturbative effects; lattice QCD
hep-lat/0503034
Frezzotti, R., Martinelli, G., Papinutto, M., Rossi, G. (2006). Reducing cuto effects in maximally twisted LQCD close to the chiral limit. JOURNAL OF HIGH ENERGY PHYSICS(4) [10.1088/1126-6708/2006/04/038].
Frezzotti, R; Martinelli, G; Papinutto, M; Rossi, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/31429
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