O(a^2) cutoff effects in Wilson fermion simulations

Details O(a^2) cutoff effects in Wilson fermion simulations O(a^2) cutoff effects in Wilson fermion simulations

2007-10-12

arxiv.org/abs/0710.2492v1

PoSLAT2007:277,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution presented by Giancarlo Rossi on the behalf of the ETM Collaboration at Lattice 2007, the XXV International Sympos

Scientific paper

We show that the size of the O(a^2) flavour violating cutoff artifacts that have been found to affect the value of the neutral pion mass in simulations with maximally twisted Wilson fermions is controlled by a continuum QCD quantity that is fairly large and is determined by the dynamical mechanism of spontaneous chiral symmetry breaking. One can argue that the neutral pion mass is the only physical quantity blurred by such cutoff effects. O(a^2) corrections of this kind are also present in standard Wilson fermion simulations, but they can either affect the determination of the pion mass or be shifted from the latter to other observables, depending on the way the critical mass is evaluated.

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