HMC algorithm with multiple time scale integration and mass preconditioning

Urbach, Carsten; Jansen, Karl; Shindler, Andrea; Wenger, Urs

doi:10.1016/j.cpc.2005.08.006

Cited by 201 publications

(212 citation statements)

References 39 publications

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“…For comparison we also show data for the original scheme [9]. We see that all predicted acceptance rates agree, within errors, with the measured ones.…”

Section: Tuning a Real Simulationsupporting

confidence: 55%

“…(3) will allow us to both find out the optimal integrator parameters, as well as find out the optimal stepsize, or the number of steps at each level of a nested integrator scheme. This is a more direct approach than the popular "balancing forces" method [9]. TABLE I.…”

Section: Integrator Tuningmentioning

confidence: 99%

“…As in [9], we use a nested PQPQP integrator scheme, with the inclusion of two Hasenbusch fields with twisted mass fermions as "preconditioners". In [9], each nested level of the integrator has one force term, and the free parameter of the PQPQP integrator has been set to λ = 1/6 at all levels. In Table I, for each level i (note that 0 is the outermost level), we show the type of force and its parameters, and mean values of the time spent on force and force-gradient computation.…”

Section: Tuning a Real Simulationmentioning

confidence: 99%

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Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

et al. 2011

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We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian H but conserve exactly a nearby shadow HamiltonianH. This property allows for a new tuning method of the molecular dynamics integrator and also allows for a new class of integrators (force-gradient integrators) which is expected to reduce significantly the computational cost of future large-scale gauge field ensemble generation.

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“…For comparison we also show data for the original scheme [9]. We see that all predicted acceptance rates agree, within errors, with the measured ones.…”

Section: Tuning a Real Simulationsupporting

confidence: 55%

Section: Integrator Tuningmentioning

confidence: 99%

Section: Tuning a Real Simulationmentioning

confidence: 99%

See 1 more Smart Citation

Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

et al. 2011

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“…We have modified this software to implement nHYP smearing, to add the adjoint plaquette term to the gauge action, and to exploit both even and odd sublattices to simulate eight flavors. During the course of our work, we also implemented a second-order Omelyan integrator [28] accelerated by an additional heavy pseudofermion field [29] and multiple time scales [30]. Our HMC trajectory length is typically one molecular dynamics time unit (MDTU), but in some cases can be as small as 0.5 MDTU or as large as 2.0 MDTU.…”

Section: The Lattice Actionmentioning

confidence: 99%

Novel phase in SU(3) lattice gauge theory with 12 light fermions

2012

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We study the phase structure of SU(3) lattice gauge theory with N f = 12 staggered fermions in the fundamental representation, for both zero and finite temperature at strong gauge couplings. For small fermion masses we find two transitions at finite temperature that converge to two wellseparated bulk phase transitions. The phase between the two transitions appears to be a novel phase. We identify order parameters showing that the single-site shift symmetry of staggered fermions is spontaneously broken in this phase. We investigate the eigenvalue spectrum of the Dirac operator, the static potential and the meson spectrum, which collectively establish that this novel phase is confining but chirally symmetric. The phase is bordered by first-order phase transitions, and since we find the same phase structure with N f = 8 fermions, we argue that the novel phase is most likely a strong-coupling lattice artifact, the existence of which does not imply IR conformality.

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“…N b = 10 corresponds for D15.48 to 20 HMC trajectories of length 1 (see ref. [33] for a description of the HMC algorithm used).…”

Section: Resultsmentioning

confidence: 99%

η and η′ mesons from N f = 2 + 1 + 1 twisted mass lattice QCD

Ottnad

Michael

Reker

et al. 2012

J. High Energ. Phys.

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We determine mass and mixing angles of η and η ′ states using N f = 2 + 1 + 1 Wilson twisted mass lattice QCD. We describe how those flavour singlet states need to be treated in this lattice formulation. Results are presented for three values of the lattice spacing, a = 0.061 fm, a = 0.078 fm and a = 0.086 fm, with light quark masses corresponding to values of the charged pion mass in a range of 230 to 500 MeV and fixed bare strange and charm quark mass values. We obtain M η = 557(15)(45) MeV (first error statistical, second systematic) and φ = 44(5) • for a single mixing angle in the quark flavour basis, θ = −10(5) • in the octet-singlet basis.

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HMC algorithm with multiple time scale integration and mass preconditioning

Cited by 201 publications

References 39 publications

Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

Novel phase in SU(3) lattice gauge theory with 12 light fermions

η and η′ mesons from N f = 2 + 1 + 1 twisted mass lattice QCD

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