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Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions by Rubeo, Argia; Sint, Stefan is a scholarly article available to read on EtoBox.

What is Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions about?

The gradient flow provides a new class of renormalized observables which can be measured with high precision in lattice simulations. In principle this allows for many interesting applications to renormalization and improvement problems. In practice, however, such applications are made difficult by the rather large cutoff effects found in many gradient flow observables. At lowest order of perturbation theory we here study the leading cutoff effects in a finite volume gradient flow coupling with SF and SF-open boundary conditions. We confirm that O($a^2$) Symanzik improvement is achieved at tree-level, provided the action, observable and the flow are O($a^2$) improved. O($a^2$) effects from the time boundaries are found to be absent at this order, both with SF and SF-open boundary conditions. For the calculation we have used a convenient representation of the free gauge field propagator at finite flow times which follows from a recently proposed set-up by L\"uscher and renders lattice perturbation theory more practical at finite flow time and with SF, open, SF-open or open-SF boundary conditions.

Author

Rubeo, Argia; Sint, Stefan

Published

2016

Language

EN