Exact pseudofermion action for Monte Carlo simulation of domain-wall fermion

We present an exact pseudofermion action for hybrid Monte Carlo simulation (HMC) of one-flavor domain-wall fermion (DWF), with the effective 4-dimensional Dirac operator equal to the optimal rational approximation of the overlap-Dirac operator with kernel H = cH(w)(1 + d(gamma 5)H(w))(-1), where c and dare constants. Using this exact pseudofermion action, we perform HMC of one-flavor QCD, and compare its characteristics with the widely used rational hybrid Monte Carlo algorithm (RHMC). Moreover, to demonstrate the practicality of the exact one-flavor algorithm (EOFA), we perform the first dynamical simulation of the (1 + 1)-flavors QCD with DWF. (C) 2014 The Authors. Published by Elsevier B.V.