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.

arXiv commentv2: 11 pages, 1 figure; some revisions in the discussions; results unchanged; to appear in Phys.Lett.B

References in corpus (16)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Locality properties of Neuberger's lattice Dirac operator
• Vector like gauge theories with almost massless fermions on the lattice
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Theoretical foundation for the Index Theorem on the lattice with staggered fermions
• Single flavor staggered fermions
• Chiral structure of the solutions of the Ginsparg-Wilson relation
• One-loop analyses of lattice QCD with the overlap Dirac operator
• Domain wall fermion zero modes on classical topological backgrounds
• Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions
• The staggered domain wall fermion method

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• Varieties and properties of central-branch Wilson fermions
• Topological Aspects of Fermions on Hyperdiamond
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• Strong-coupling Analysis of Parity Phase Structure in Staggered-Wilson Fermions
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• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Lattice fermions as spectral graphs
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• Hofstadter problem in higher dimensions
• On Flavor Symmetry in Lattice Quantum Chromodynamics
• New conjecture on exact Dirac zero-modes of lattice fermions
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• Spectral Flow and Index Theorem for Staggered Fermions
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• Minimal-doubling and single-Weyl Hamiltonians
• Continuum limit of the axial anomaly and index for the staggered overlap Dirac operator: An overview
• Aoki Phases in Staggered-Wilson Fermions
• Locality of staggered overlap operators
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