Chirally improving Wilson fermions III. The Schr\"odinger functional

TL;DR

This paper demonstrates a method to construct a Schrödinger functional for Wilson fermions on the lattice, achieving O(a) improvement for expectation values of certain operators, with boundary effects considered.

Contribution

It introduces a construction of the Schrödinger functional for Wilson fermions that improves expectation values of ${ m R}_5$-even operators up to boundary effects.

Findings

Expectation values of ${ m R}_5$-even operators are O(a) improved.

The construction accounts for boundary effects.

The method enhances lattice QCD simulations involving Wilson fermions.

Abstract

We show that it is possible to construct a lattice Schroedinger functional for standard Wilson fermions, where the expectation values of ${\cal R}_5$-even operators are O($a$) improved, up to terms coming from the boundaries.