An efficient method to compute the residual phase on a Lefschetz thimble
| Autor: | Luigi Scorzato, Christian Schmidt, F. Di Renzo, Marco Cristoforetti, C. Torrero, A. Mukherjee, G. Eruzzi |
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| Přispěvatelé: | European Center for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), European Center for Theoretical Studies in Nuclear Physics and Related Areas, Laboratoire d'ingénierie pour les systèmes complexes (UR LISC), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), Dipartimento di Fisica [Parma], Università degli studi di Parma [Parme, Italie], Fakultät für Physik, Universität Bielefeld, INFN-TIFPA, CPT - E3 Cosmologie, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), University of Parma = Università degli studi di Parma [Parme, Italie], Università degli studi di Parma = University of Parma (UNIPR) |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Physics
Nuclear and High Energy Physics 010308 nuclear & particles physics [PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat] High Energy Physics - Lattice (hep-lat) Monte Carlo method Phase (waves) FOS: Physical sciences Estimator Residual 01 natural sciences High Energy Physics - Lattice Dimension (vector space) Lattice gauge theory 0103 physical sciences Applied mathematics Balanced flow 010306 general physics Scaling |
| Zdroj: | Physical Review D Physical Review D, American Physical Society, 2014, 89 (11), pp.114505. ⟨10.1103/PhysRevD.89.114505⟩ Physical Review D, 2014, 89 (11), pp.114505. ⟨10.1103/PhysRevD.89.114505⟩ |
| ISSN: | 1550-7998 1550-2368 |
| Popis: | We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble. The method is stochastic and its cost scales linearly with the physical volume, linearly with the number of stochastic estimators and quadratically with the length of the extra dimension along the gradient flow. This is a drastic improvement over previous estimates of the cost of computing the residual phase. We also report on basic tests of correctness and scaling of the code. Comment: New simulations, new plot, new appendix added. To appear in PRD. 9 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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