Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion

Abstract

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 $H=c{H}_w(1+d{\gamma }_5{H}_w{)}^{-1}$, where $c$ and $d$ are 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.

13 pages, 4 figures, v2: Simulation of (1+1)-flavors QCD with DWF, and references added. To appear in Phys. Lett. B

References in corpus (3)

• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion
• Simulating an arbitrary number of flavors of dynamical overlap fermions

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