A local formulation of lattice QCD without unphysical fermion zero modes

Abstract

The problem of unphysical zero modes in lattice QCD with Wilson fermions can be solved in a clean way by including a mass term proportional to $i \psibar γ_5 τ^3 ψ$ in the standard lattice theory with Nf=2 mass degenerate Wilson quarks. We argue that up to cutoff effects, this lattice theory is equivalent to standard lattice QCD, for suitable choices of the mass parameters and with a natural re-interpretation of observables. On-shell O(a) improvement can be implemented in a straightforward way.

LATTICE99(Theoretical Developments), 6 pages Latex using espcrc2.sty, to appear in the conference proceedings of Lattice '99, Pisa, Italy

References in corpus (4)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Lattice QCD without tuning, mixing and current renormalization
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• O(a) improvement of lattice QCD with two flavors of Wilson quarks

Cited by in corpus (12)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Chirally improving Wilson fermions II. Four-quark operators
• The phase diagram of twisted mass lattice QCD
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Chiral perturbation theory for lattice QCD with a twisted mass term
• Going chiral: overlap versus twisted mass fermions
• Constraint on the Low Energy Constants of Wilson Chiral Perturbation Theory
• Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
• Chiral perturbation theory for partially quenched twisted mass lattice QCD
• Iterative methods for overlap and twisted mass fermions
• Twisted mass lattice QCD with non-degenerate quark masses
• Chiral perturbation theory for three-flavour lattice QCD with isospin splitting