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PUBDB-2022-04680

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Frequency-splitting estimators of single-propagator traces

Giusti, L.Extern* ; Harris, T. (Corresponding author) ; Nada, A.DESY* ; Schaefer, S.DESY*

2020
SISSA Trieste

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Please use a persistent id in citations: doi:10.22323/1.363.0157  doi:10.3204/PUBDB-2022-04680

Report No.: DESY-20-010; arXiv:2001.08783

Abstract: In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors due to the vacuum and random-noise contributions to their variances. Motivated by a theoretical analysis of the variances, we introduce a new family of stochastic estimators of single-propagator traces built upon a frequency splitting combined with a hopping expansion of the quark propagator, and test their efficiency in two-flavour QCD with pions as light as 190 MeV. The use of these estimators reduces the cost of the computation by one to two orders of magnitude over standard estimators depending on the fermion bilinear. As a concrete application, we show the impact of these findings on the computation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.

Keyword(s): vacuum polarization: hadronic ; muon: magnetic moment ; error: statistical ; quark: propagator ; estimator ; hopping parameter expansion ; quantum chromodynamics ; lattice field theory ; efficiency ; stochastic ; splitting ; family ; costs ; numerical calculations ; quark: flavor: 2 ; numerical methods: efficiency

Note: 7 pages, 4 figures; Proceedings of the 37th annual International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

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Database coverage:
; ; ; ; DOAJ Seal ; SCOPUS

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Giusti, L. (Corresponding author)Extern* ; Harris, T. (Corresponding author)Extern* ; Nada, A. (Corresponding author)DESY* ; Schaefer, S. (Corresponding author)DESY*
Frequency-splitting estimators of single-propagator traces
[10.3204/PUBDB-2022-04679]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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