Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD

Abstract

We discuss a Lattice QCD mixed action investigation employing Wilson maximally twisted mass sea and overlap valence fermions. Using four values of the lattice spacing, we demonstrate that the overlap Dirac operator assumes a point-like locality in the continuum limit. We also show that by adopting suitable matching conditions for the sea and valence theories a consistent continuum limit for the pion decay constant and light baryon masses can be obtained. Finally, we confront results for sea-valence mixed meson masses and the valence scalar correlator with corresponding expressions of chiral perturbation theory. This allows us to extract low energy constants of mixed action chiral perturbation which characterize the strength of unitarity violations in our mixed action setup.

46 pages, 18 figures

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• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Interpreting Numerical Measurements in Fixed Topological Sectors
• A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons
• Extracting hadron masses from fixed topology simulations
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Mixed action with Borici-Creutz fermions on staggered sea
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study