QCD with Flavored Minimally Doubled Fermions

TL;DR

This paper explores minimally doubled fermions on the lattice, introducing a non-singlet mass term for Karsten-Wilczek fermions, preserving key symmetries, and demonstrating how flavor components emerge naturally without fine tuning.

Contribution

It provides a new formulation for sea quarks using minimally doubled fermions, with symmetry preservation and natural flavor component emergence at finite lattice spacing.

Findings

Symmetry of the quark determinant is preserved for Karsten-Wilczek fermions.

Flavor components in meson correlation functions emerge naturally.

Taste-breaking can be avoided without fine tuning.

Abstract

I discuss minimally doubled fermions fermions as an ultra-local formulation on the lattice for sea quarks that realize a non-singlet chiral symmetry. I introduce a non-singlet mass term for Karsten-Wilczek fermions and identify the appropriate representation of the SU(2) flavor group at finite lattice spacing. I present an algebraic proof that the symmetry of the quark determinant under charge conjugation and reflections of the Euclidean axes is preserved for Karsten-Wilczek fermions as sea quarks. Finally, I discuss how the flavor components in meson correlation functions with Karsten-Wilczek fermions emerge naturally and I show how taste-breaking can be avoided without fine tuning.