A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning

Abstract

The use of chirally rotated boundary conditions provides a formulation of the Schroedinger functional that is compatible with automatic O(a) improvement of Wilson fermions up to O(a) boundary contributions. The elimination of bulk O(a) effects requires the non-perturbative tuning of the critical mass and one additional boundary counterterm. We present the results of such a tuning in a quenched setup for several values of the renormalized gauge coupling, from perturbative to non-perturbative regimes, and for a range of lattice spacings. We also check that the correct boundary conditions and symmetries are restored in the continuum limit.

Comments: v2. 54 pages, 9 figures. Few improvements for readability. Typos corrected. Added reference. Conclusions and results unchanged. Version published in Nuclear Physics B