Analysis of the Schroedinger Functional with Chirally Rotated Boundary Conditions

TL;DR

This paper investigates two types of chirally rotated boundary conditions in the Schroedinger functional to understand their spectral properties and impact on lattice QCD simulations.

Contribution

It analyzes the spectral properties and quark propagators of two chirally rotated boundary conditions in the Schroedinger functional at tree-level.

Findings

Both boundary conditions preserve bulk O(a) improvement.

Spectral properties are consistent with theoretical expectations.

Quark propagators exhibit expected continuum behavior.

Abstract

The Schroedinger functional provides a valuable tool to perform non-perturbative renormalization on the lattice, in particular in a mass independent scheme. We study two different types of chirally rotated Schroedinger functional boundary conditions which have been recently proposed to retain the bulk automatic O(a) improvement of massless Wilson fermions in finite volume. We investigate the spectral properties and the quark propagators which derive from these two proposals in the continuum at tree-level of perturbation theory.