Continuum-limit scaling of overlap fermions as valence quarks

TL;DR

This paper investigates the continuum limit scaling of physical quantities using a mixed action approach with twisted mass sea quarks and overlap valence quarks, focusing on the pion decay constant.

Contribution

It demonstrates the feasibility of studying continuum scaling with mixed actions and discusses techniques for handling overlap fermions in practical computations.

Findings

Successful implementation of mixed action approach for continuum scaling

Verification of scaling behavior of the pion decay constant

Effective techniques for overlap fermion computations

Abstract

We present the results of a mixed action approach, employing dynamical twisted mass fermions in the sea sector and overlap valence fermions, with the aim of testing the continuum limit scaling behaviour of physical quantities, taking the pion decay constant as an example. To render the computations practical, we impose for this purpose a fixed finite volume with lattice size $L\approx1.3$ fm. We also briefly review the techniques we have used to deal with overlap fermions.