The PHMC algorithm for simulations of dynamical fermions: I -- description and properties

Abstract

We give a detailed description of the so-called Polynomial Hybrid Monte Carlo (PHMC) algorithm. The effects of the correction factor, which is introduced to render the algorithm exact, are discussed, stressing their relevance for the statistical fluctuations and (almost) zero mode contributions to physical observables. We also investigate rounding-error effects and propose several ways to reduce memory requirements.

Latex2e file, 4 figures, 49 pages

References in corpus (6)

• A Polynomial Hybrid Monte Carlo Algorithm
• Quadratically optimized polynomials for fermion simulations
• The PHMC algorithm for simulations of dynamical fermions: II - Performance analysis
• One-flavour QCD at finite temperature
• The non-perturbative O(a)-improved action for dynamical Wilson fermions
• Experiences with the Polynomial Hybrid Monte Carlo Algorithm

Cited by in corpus (29)

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• HMC algorithm with multiple time scale integration and mass preconditioning
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• Physical Point Simulation in 2+1 Flavor Lattice QCD
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• tmLQCD: a program suite to simulate Wilson Twisted mass Lattice QCD
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Remarks on strange-quark simulations with Wilson fermions
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
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• Lower Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model with overlap fermions
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Lattice QCD and the Schwarz alternating procedure
• Polynomial Hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors
• Hadron masses in QCD with one quark flavour
• Updating algorithms with multi-step stochastic correction
• Comparative Benchmarks of full QCD Algorithms
• Simulating the Schroedinger functional with two pseudo-fermions
• The PHMC algorithm for simulations of dynamical fermions: II - Performance analysis
• Higgs-Yukawa model in chirally-invariant lattice field theory
• Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
• A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional ${\Phi }^6$-term
• Dynamical fermions as a global correction
• Non-perturbative improvement of the axial current with three dynamical flavors and the Iwasaki gauge action
• Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks
• An Exact Algorithm for Any-flavor Lattice QCD with Kogut-Susskind Fermion
• Toward large-scale Hybrid Monte Carlo simulations of the Hubbard model on graphics processing units
• Progress in generating gauge ensembles with Stabilized Wilson Fermions