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 $i\text{psibar}{\gamma }_5{\tau }^3\psi$ 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.

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