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Translating topological benefits in very cold lattice simulations

2022/12/19 by Mattia Bruno, Bruno, Mattia, Marco Cè +9 · 1 citation
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism #High-Energy Particle Collisions Research

paper · doi:10.48550/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 Nf=3 ensembles with time extents up to T=2304 and a lattice spacing of a=0.055 \rmfm.

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