Preprint PUBDB-2022-07841

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Translating topological benefits in very cold lattice simulations

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2022

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Report No.: DESY-22-205; arXiv:2212.09533

Abstract: Master-field simulations offer an approach to lattice QCD in which calculations are performed on a small number of large-volume gauge-field configurations. The latter is advantageous for simulations in which the global topological charge is frozen due to a very fine lattice spacing, as the effect of this on observables is suppressed by the spacetime volume. Here we make use of the recently developed Stabilised Wilson Fermions to investigate a variation of this approach in which only the temporal direction ($T$) is taken larger than in traditional calculations. As compared to a hyper-cubic lattice geometry, this has the advantage that finite-$L$ effects can be useful, e.g. for multi-hadron observables, while compared to open boundary conditions, time-translation invariance is not lost. In this proof-of-concept contribution, we study the idea of using very cold (i.e. long-$T$) lattices to topologically 'defrost' observables at fine lattice spacing. We identify the scalar-scalar meson two-point correlation function as a useful probe and present first results from $N_f=3$ ensembles with time extents up to $T=2304$ and a lattice spacing of $a=0.055\,\rm{fm}$.

Keyword(s): fermion, Wilson ; charge, topological ; lattice ; space-time ; geometry ; correlation function ; gauge field theory ; boundary condition ; lattice field theory ; suppression ; meson


Note: 10 pages, 4 figures, 1 table, to be published in Proceedings of Science, contribution to 'The 39th International Symposium on Lattice Field Theory (LATTICE 2022)'

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

Appears in the scientific report 2022
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Translating topological benefits in very cold lattice simulations
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) - Sissa Medialab Trieste, Italy, 2023. - ISBN - doi:10.22323/1.430.0368
The 39th International Symposium on Lattice Field Theory (Lattice 2022), Lattice 2022, BonnBonn, Germany, 8 Aug 2022 - 13 Aug 20222022-08-082022-08-13
Proceedings of Science / International School for Advanced Studies LATTICE2022, 368 () [10.22323/1.430.0368]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2022-12-19, last modified 2023-02-14