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

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

2009-08-04

arxiv.org/abs/0908.0451v1

Phys.Rev.D81:034509,2010

Physics

High Energy Physics

High Energy Physics - Lattice

38 pages, 1 figure, 2 tables

Scientific paper

10.1103/PhysRevD.81.034509

In this paper we propose to interpret the large discretization artifacts affecting the neutral pion mass in maximally twisted lattice QCD simulations as O(a^2) effects whose magnitude is roughly proportional to the modulus square of the (continuum) matrix element of the pseudoscalar density operator between vacuum and one-pion state. The numerical size of this quantity is determined by the dynamical mechanism of spontaneous chiral symmetry breaking and turns out to be substantially larger than its natural magnitude set by the value of Lambda_QCD.

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