Preprint

PUBDB-2024-04689

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exponential error reduction for glueball calculations using a two-level algorithm in pure gauge theory

Barca, L. (Corresponding author)DESY* ; Schaefer, S.DESY* ; Knechtli, F.Extern* ; Urrea-Niño, J. A. ; Martins, S. ; Peardon, M.

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-04689

Report No.: DESY-24-089; arXiv:2406.12656

Abstract: This study explores the application of a two-level algorithm to enhance the signal-to-noise ratio of glueball calculations in four-dimensional SU(3) pure gauge theory. Our findings demonstrate that the statistical errors exhibit an exponential reduction, enabling reliable extraction of effective masses at distances where current standard methods would demand exponentially more samples. However, at shorter distances, standard methods prove more efficient due to a saturation of the variance reduction using the multilevel method. We discuss the physical distance at which the multilevel sampling is expected to outperform the standard algorithm, supported by numerical evidence across different lattice spacings and glueball channels. Additionally, we construct a variational basis comprising 35 Wilson loops up to length 12 and 5 smearing sizes each, presenting results for the first state in the spectrum for the scalar, pseudoscalar, and tensor channels.

Note: 12 pages, 7 figures, preprint

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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)
2. DFG project G:(GEPRIS)451886959 - FOR 5269: Zukünftige Methoden für Studien von eingeschlossenen Gluonen in QCD (451886959) (451886959)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Barca, L. (Corresponding author)DESY* ; Schaefer, S.DESY* ; Knechtli, F. ; Urrea-Niño, J. A. ; Martins, S. ; Peardon, M.
Exponential error reduction for glueball calculations using a two-level algorithm in pure gauge theory
Physical review / D 110(5), 054515 (2024) [10.1103/PhysRevD.110.054515]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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