Scaling properties of multiscale equilibration

Detmold, W.; Endres, M. G.

doi:10.1103/physrevd.97.074507

Title: Scaling properties of multiscale equilibration

Journal Article · 17 April 2018 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.97.074507 · OSTI ID:1433463

Detmold, W. ^[1]; Endres, M. G. ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

We investigate the lattice spacing dependence of the equilibration time for a recently proposed multiscale thermalization algorithm for Markov chain Monte Carlo simulations. The algorithm uses a renormalization-group matched coarse lattice action and prolongation operation to rapidly thermalize decorrelated initial configurations for evolution using a corresponding target lattice action defined at a finer scale. Focusing on nontopological long-distance observables in pure SU (3) gauge theory, we provide quantitative evidence that the slow modes of the Markov process, which provide the dominant contribution to the rethermalization time, have a suppressed contribution toward the continuum limit, despite their associated timescales increasing. Based on these numerical investigations, we conjecture that the prolongation operation used herein will produce ensembles that are indistinguishable from the target fine-action distribution for a sufficiently fine coupling at a given level of statistical precision, thereby eliminating the cost of rethermalization.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010495; SC0018121; SC0011090

OSTI ID:: 1433463

Alternate ID(s):: OSTI ID: 1501513

Journal Information:: Physical Review. D., Vol. 97, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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