Pairs of chiral quarks on the lattice from staggered fermions

Abstract

A new formulation of chiral fermions on the lattice is presented. It is a version of overlap fermions, but built from the computationally efficient staggered fermions rather than the previously used Wilson fermions. The construction reduces the four quark flavors described by the staggered fermion to two quark flavors; this pair can be taken as the up and down quarks in Lattice QCD. The exact flavored chiral symmetry of the staggered fermion gets converted into an unflavored Ginsparg-Wilson chiral symmetry of the new overlap fermion, which also has pairs of exact chiral zero-modes satisfying the Index Theorem. Stability under radiative corrections is checked. A domain wall formulation giving a truncation of this overlap construction is also outlined.

v2: 11 pages, 1 figure; some revisions in the discussions; results unchanged; to appear in Phys.Lett.B

References in corpus (2)

• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Single flavor staggered fermions

Cited by in corpus (12)

• Light Hadron Masses from Lattice QCD
• Single flavor staggered fermions
• Varieties and properties of central-branch Wilson fermions
• Strong-coupling Analysis of Parity Phase Structure in Staggered-Wilson Fermions
• Lattice fermions as spectral graphs
• Topological Index Theorem on the Lattice through the Spectral Flow of Staggered Fermions
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• Equivalence of lattice operators and graph matrices
• New conjecture on exact Dirac zero-modes of lattice fermions
• Minimal-doubling and single-Weyl Hamiltonians
• Locality of staggered overlap operators
• Topological properties of minimally doubled fermions in two space-time dimensions