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

TL;DR

This paper investigates the non-perturbative tuning of boundary parameters in a chirally rotated Schroedinger functional setup with Wilson fermions, ensuring O(a) improvement and symmetry restoration across various lattice spacings.

Contribution

It provides the first detailed non-perturbative tuning of boundary counterterms in this formulation, validating the approach for different coupling regimes.

Findings

Successful non-perturbative tuning across coupling regimes

Restoration of boundary conditions and symmetries in the continuum limit

Demonstration of automatic O(a) improvement with chirally rotated boundaries

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.