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

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

2010-12-12

arxiv.org/abs/1012.2500v1

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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.

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