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

Abstract

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.

38 pages, 1 figure, 2 tables

References in corpus (6)

• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Light baryon masses with dynamical twisted mass fermions
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• The neutral kaon mixing parameter B_K from unquenched mixed-action lattice QCD
• K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry
• Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory

Cited by in corpus (29)

• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• Axial Nucleon form factors from lattice QCD
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass Lattice QCD
• Moments of nucleon generalized parton distributions from lattice QCD
• Isospin-0 $\pi \pi$ s-wave scattering length from twisted mass lattice QCD
• The thermal QCD transition with two flavours of twisted mass fermions
• BK-parameter from Nf = 2 twisted mass lattice QCD
• Lattice QCD study of inclusive semileptonic decays of heavy mesons
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Chiral effective theory with a light scalar and lattice QCD
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• K -> pi matrix elements of the chromagnetic operator on the lattice
• The chromomagnetic operator on the lattice
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• Effect of r averaging on Chiral Anomaly in Lattice QCD with Wilson Fermion: Finite volume and cutoff effects
• Towards Four-Flavour Dynamical Simulations
• Properties of pseudoscalar flavour-singlet mesons from 2+1+1 twisted mass lattice QCD
• K* vector and tensor couplings from Nf = 2 tmQCD
• Eta and eta' meson masses from Nf=2+1+1 twisted mass lattice QCD
• Scaling and ChPT Description of Pions from N_f=2 twisted mass QCD
• ChPT description of the pion mass and decay constant from N_f=2 twisted mass QCD