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001034732 0247_ $$2datacite_doi$$a10.34734/FZJ-2024-07489
001034732 037__ $$aFZJ-2024-07489
001034732 041__ $$aEnglish
001034732 1001_ $$0P:(DE-Juel1)204228$$aTemmen, Finn$$b0$$eCorresponding author$$ufzj
001034732 1112_ $$a41st International Symposium on Lattice Field Theory$$cLiverpool$$d2024-07-28 - 2024-08-03$$gLattice2024$$wUK
001034732 245__ $$aOvercoming Ergodicity Problems of the HMC Method using Radial Updates
001034732 260__ $$c2024
001034732 3367_ $$033$$2EndNote$$aConference Paper
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001034732 520__ $$aDespite its many advantages, the sensible application of the Hybrid Monte Carlo (HMC) method is often hindered by the presence of large - or even infinite - potential barriers. These potential barriers partition the configuration space into distinct sectors, which leads to ergodicity violations and biased measurements of observables.In this work, we address this problem by augmenting the HMC method with a multiplicative Metropolis-Hastings update in a so-called "radial direction" of the fields, which enables jumps over the aforementioned potential barriers at comparably low computational cost. The effectiveness of this approach is demonstrated for the Hubbard model, formulated in a non-compact space by means of a continuous Hubbard-Stratonovich transformation. Our numerical results show that the radial updates successfully resolve the ergodicity violation, while simultaneously reducing autocorrelations.
001034732 536__ $$0G:(DE-HGF)POF4-5111$$a5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
001034732 536__ $$0G:(GEPRIS)511713970$$aDFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970)$$c511713970$$x1
001034732 7001_ $$0P:(DE-Juel1)188583$$aBerkowitz, Evan$$b1$$ufzj
001034732 7001_ $$0P:(DE-HGF)0$$aOstmeyer, Johann$$b2
001034732 7001_ $$0P:(DE-HGF)0$$aKennedy, Anthony$$b3
001034732 7001_ $$0P:(DE-Juel1)159481$$aLuu, Tom$$b4$$ufzj
001034732 7001_ $$0P:(DE-HGF)0$$aYu, Xinhao$$b5
001034732 8564_ $$uhttps://conference.ippp.dur.ac.uk/event/1265/contributions/7247/
001034732 8564_ $$uhttps://juser.fz-juelich.de/record/1034732/files/Temmen_RadialUpdates_Lattice2024.pdf$$yOpenAccess
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001034732 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)188583$$aForschungszentrum Jülich$$b1$$kFZJ
001034732 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a Helmholtz-Institut für Strahlen- und Kernphysik$$b2
001034732 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a School of Physics and Astronomy, The University of Edinburgh$$b3
001034732 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)159481$$aForschungszentrum Jülich$$b4$$kFZJ
001034732 9131_ $$0G:(DE-HGF)POF4-511$$1G:(DE-HGF)POF4-510$$2G:(DE-HGF)POF4-500$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$9G:(DE-HGF)POF4-5111$$aDE-HGF$$bKey Technologies$$lEngineering Digital Futures – Supercomputing, Data Management and Information Security for Knowledge and Action$$vEnabling Computational- & Data-Intensive Science and Engineering$$x0
001034732 9141_ $$y2024
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001034732 920__ $$lyes
001034732 9201_ $$0I:(DE-Juel1)IAS-4-20090406$$kIAS-4$$lTheorie der Starken Wechselwirkung$$x0
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