We study the spectral gap of the Wilson-Dirac operator in two-flavour lattice QCD as a function of the lattice spacing a, the space-time volume V and the current-quark mass m. It turns out that the median of the probability distribution of the gap scales proportionally to m and that its width is practically equal to a/root V. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.

Del Debbio, L., Giusti, L., Luscher, M., Petronzio, R., & Tantalo, N. (2006). Stability of lattice QCD simulations and the thermodynamic limit. JOURNAL OF HIGH ENERGY PHYSICS(2) [10.1088/1126-6708/2006/02/011].

Stability of lattice QCD simulations and the thermodynamic limit

PETRONZIO, ROBERTO;TANTALO, NAZZARIO
2006

Abstract

We study the spectral gap of the Wilson-Dirac operator in two-flavour lattice QCD as a function of the lattice spacing a, the space-time volume V and the current-quark mass m. It turns out that the median of the probability distribution of the gap scales proportionally to m and that its width is practically equal to a/root V. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
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Rilevanza internazionale
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Sì, ma tipo non specificato
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
eng
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Del Debbio, L., Giusti, L., Luscher, M., Petronzio, R., & Tantalo, N. (2006). Stability of lattice QCD simulations and the thermodynamic limit. JOURNAL OF HIGH ENERGY PHYSICS(2) [10.1088/1126-6708/2006/02/011].
Del Debbio, L; Giusti, L; Luscher, M; Petronzio, R; Tantalo, N
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/33972
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