New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions

Abstract

We construct a novel $N_f=2$ pseudofermion action for Monte-Carlo simulation of lattice gauge theory with domain-wall fermions (DWF), of which the effective four-dimensional lattice Dirac operator is equal to the overlap-Dirac operator with the argument of the sign function equal to $H=c{\gamma }_5{D}_w(1+d{D}_w{)}^{-1}$, where $c$ and $d$ are parameters, and $D_w$ is the standard Wilson-Dirac operator plus a negative parameter $-m_0(0<m_0<2)$. This new action is particularly useful for the challenging simulations of lattice gauge theories with large $N_f=2n$ DWF, on the large lattices, and in the strong-coupling regime.

Comments: 14 pages, 3 EPS figures