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@INPROCEEDINGS{Temmen:1034732,
      author       = {Temmen, Finn and Berkowitz, Evan and Ostmeyer, Johann and
                      Kennedy, Anthony and Luu, Tom and Yu, Xinhao},
      title        = {{O}vercoming {E}rgodicity {P}roblems of the {HMC} {M}ethod
                      using {R}adial {U}pdates},
      reportid     = {FZJ-2024-07489},
      year         = {2024},
      abstract     = {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.},
      month         = {Jul},
      date          = {2024-07-28},
      organization  = {41st International Symposium on
                       Lattice Field Theory, Liverpool (UK),
                       28 Jul 2024 - 3 Aug 2024},
      subtyp        = {After Call},
      cin          = {IAS-4},
      cid          = {I:(DE-Juel1)IAS-4-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische
                      Methoden zur Untersuchung von Dynamik und Strukturbildung in
                      Quantensystemen (511713970)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)511713970},
      typ          = {PUB:(DE-HGF)6},
      doi          = {10.34734/FZJ-2024-07489},
      url          = {https://juser.fz-juelich.de/record/1034732},
}