TY  - CONF
AU  - Temmen, Finn
AU  - Berkowitz, Evan
AU  - Kennedy, Anthony
AU  - Ostmeyer, Johann
AU  - Yu, Xinhao
AU  - Luu, Tom
TI  - Overcoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates
M1  - FZJ-2024-07430
SP  - 10 pages, 5 figures, PoS(LATTICE2024)068
PY  - 2024
N1  - 10 pages, 5 figures, contribution to the 41st International Symposium on Lattice Field Theory (Lattice 2024), July 28th - August 3rd, 2024, Liverpool, UK
AB  - Despite 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.
T2  - 41st International Symposium on Lattice Field Theory
CY  - 28 Jul 2024 - 3 Aug 2024, Liverpool (UK)
Y2  - 28 Jul 2024 - 3 Aug 2024
M2  - Liverpool, UK
LB  - PUB:(DE-HGF)8
DO  - DOI:10.34734/FZJ-2024-07430
UR  - https://juser.fz-juelich.de/record/1034671
ER  -