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001034671 005__ 20250113214945.0
001034671 0247_ $$2arXiv$$aarXiv:2410.19148
001034671 0247_ $$2datacite_doi$$a10.34734/FZJ-2024-07430
001034671 037__ $$aFZJ-2024-07430
001034671 1001_ $$0P:(DE-Juel1)204228$$aTemmen, Finn$$b0$$eCorresponding author$$ufzj
001034671 1112_ $$a41st International Symposium on Lattice Field Theory$$cLiverpool$$d2024-07-28 - 2024-08-03$$gLATTICE2024$$wUK
001034671 245__ $$aOvercoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates
001034671 260__ $$c2024
001034671 300__ $$a10 pages, 5 figures, PoS(LATTICE2024)068
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001034671 500__ $$a10 pages, 5 figures, contribution to the 41st International Symposium on Lattice Field Theory (Lattice 2024), July 28th - August 3rd, 2024, Liverpool, UK
001034671 520__ $$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.
001034671 536__ $$0G:(DE-HGF)POF4-5111$$a5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
001034671 536__ $$0G:(GEPRIS)511713970$$aDFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970)$$c511713970$$x1
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001034671 7001_ $$0P:(DE-Juel1)188583$$aBerkowitz, Evan$$b1$$ufzj
001034671 7001_ $$0P:(DE-HGF)0$$aKennedy, Anthony$$b2
001034671 7001_ $$0P:(DE-HGF)0$$aOstmeyer, Johann$$b3
001034671 7001_ $$0P:(DE-HGF)0$$aYu, Xinhao$$b4
001034671 7001_ $$0P:(DE-Juel1)159481$$aLuu, Tom$$b5$$ufzj
001034671 8564_ $$uhttps://juser.fz-juelich.de/record/1034671/files/RadialUpdates_Lattice2024_PoS068.pdf$$yOpenAccess
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001034671 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a School of Physics and Astronomy, The University of Edinburgh$$b2
001034671 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a Helmholtz-Institut für Strahlen- und Kernphysik$$b3
001034671 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a School of Physics and Astronomy, The University of Edinburgh$$b4
001034671 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)159481$$aForschungszentrum Jülich$$b5$$kFZJ
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001034671 9141_ $$y2024
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001034671 9201_ $$0I:(DE-Juel1)IAS-4-20090406$$kIAS-4$$lTheorie der Starken Wechselwirkung$$x0
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