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arXiv · 1403.1683

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

Yu-Chih Chen·Ting-Wai Chiu
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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 γ_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.

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Yu-Chih Chen, Ting-Wai Chiu. 2014-09-08. Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion. https://doi.org/10.1016/j.physletb.2014.09.016

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