2020/02/02 by Francesco Di Renzo, Simran Singh, Di Renzo, Francesco +3
Earth and Planetary Sciences · Environmental Science · Mathematics · #CO2 Sequestration and Geologic Interactions #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Lattice (hep-lat) #High-pressure geophysics and materials
paper · pdf · doi:10.48550/arxiv.2002.00472
openalex publication_date 2020/02/02 · openalex created_date 2022/07/19 · openalex updated_date 2026/07/28
Lefschetz thimbles regularisation of (lattice) field theories was put forward\nas a possible solution to the sign problem. Despite elegant and conceptually\nsimple, it has many subtleties, a major one boiling down to a plain question:\nhow many thimbles should we take into account? In the original formulation, a\nsingle thimble dominance hypothesis was put forward: in the thermodynamic\nlimit, universality arguments could support a scenario in which the dominant\nthimble (associated to the global minimum of the action) captures the physical\ncontent of the field theory. We know by now many counterexamples and we have\nbeen pursuing multi-thimble simulations ourselves. Still, a single thimble\nregularisation would be the real breakthrough. We report on ongoing work aiming\nat a single thimble formulation of lattice field theories, in particular\nputting forward the proposal of performing Taylor expansions on the dominant\nthimble.\n