Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit

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\geq h\geq 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\geq 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^2\Lambda^3_{\rm QCD}.

Note:

23 pages, no figures. Revised version, published by JHEP. Various sections shortened, alternative determination of the 'optimal' critical mass discussed, section about the pion decay constant inserted. Conclusions unchanged

fermion: lattice field theory
twist
infrared problem
pi: pole

References(29)

Figures(0)

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