Testing universality and automatic O(a) improvement in massless lattice QCD with Wilson quarks

Abstract

The chirally rotated Schroedinger functional provides a test bed for universality and automatic O(a) improvement. We here report on extensive quenched simulations of lattice QCD with Wilson quarks in the massless limit. We demonstrate that, after proper tuning of a dimension 3 boundary counterterm, the expected chirally rotated boundary conditions are indeed obtained. This implies automatic O(a) improvement which we then verify in a few examples. Universality of properly renormalized correlation functions is confirmed by comparing to the standard set-up of the Schroedinger functional. As a by-product of this study the non-singlet current renormalisation constants Z_A and Z_V are obtained from ratios of 2-point functions.

7 pages, 10 figures, contribution to Lattice 2010, to appear in the proceedings

References in corpus (1)

• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement

Cited by in corpus (4)

• High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests