The chirally rotated Schr\"odinger functional with Wilson fermions and automatic O(a) improvement

Understand

A modified formulation of the Schr\"odinger functional (SF) is proposed.

• In the continuum it is related to the standard SF by a non-singlet chiral field rotation and therefore referred to as the chirally rotated SF ($\chi$SF).
• On the lattice with Wilson fermions the relation is not exact, suggesting some interesting tests of universality.
• The main advantage of the $\chi$SF consists in its compatibility with the mechanism of automatic O($a$) improvement.