Preprint

PUBDB-2022-04658

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Lattice field computations via recursive numerical integration

Hartung, T. ; Jansen, K.DESY* ; Kuo, F. Y. ; Leövey, H. (Corresponding author) ; Nuyens, D. ; Sloan, I. H.

2022

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-04658

Report No.: arXiv:2112.05069

Abstract: We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of the physics problems and the group structure within lattice cubature rules for numerical integration, we show how to approach these problems efficiently by means of Fast Fourier Transform techniques. In particular, we consider applications to the quantum mechanical rotor and compact $U(1)$ lattice gauge theory, where the physical dimensions are two and three. This proceedings article reviews our results presented in J. Comput. Phys 443 (2021) 110527.

Keyword(s): lattice field theory ; lattice ; Fourier transformation ; quantum mechanics ; U(1)

Note: arXiv admin note: text overlap with arXiv:2011.05451

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
2. Theorie (ZEU-THEO)

Research Program(s):

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

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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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/Contribution to a conference proceedings Hartung, T. ; Jansen, K.DESY* ; Kuo, F. Y. (Corresponding author) ; Leövey, H. ; Nuyens, D. ; Sloan, I. H.
Lattice field computations via recursive numerical integration
2022The 38th International Symposium on Lattice Field Theory, LATTICE2021, Zoom/Gather@Massachusetts Institute of TechnologyZoom/Gather@Massachusetts Institute of Technology, USA, 26 Jul 2021 - 31 Jul 20212021-07-262021-07-31 Proceedings of Science / International School for Advanced Studies (LATTICE2021), 010 (2022) [10.3204/PUBDB-2022-00992]2022     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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