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@ARTICLE{Scherzer:886181,
      author       = {Scherzer, M. and Seiler, E. and Sexty, D. and Stamatescu,
                      I.-O.},
      title        = {{C}ontrolling complex {L}angevin simulations of lattice
                      models by boundary term analysis},
      journal      = {Physical review / D},
      volume       = {101},
      number       = {1},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {Inst.812068},
      reportid     = {FZJ-2020-04309},
      pages        = {014501},
      year         = {2020},
      abstract     = {One reason for the well-known fact that the complex
                      Langevin (CL) method sometimes fails to converge or
                      converges to the wrong limit has been identified long ago:
                      it is insufficient decay of the probability density either
                      near infinity or near poles of the drift, leading to
                      boundary terms that spoil the formal argument for
                      correctness. To gain a deeper understanding of this
                      phenomenon, in a previous paper [Phys. Rev. D 99, 014512
                      (2019)] we have studied the emergence of such boundary terms
                      thoroughly in a simple model, where analytic results can be
                      compared with numerics. Here we continue this type of
                      analysis for more physically interesting models, focusing on
                      the boundaries at infinity. We start with Abelian and
                      non-Abelian one-plaquette models, and then we proceed to a
                      Polyakov chain model and finally to high density QCD and the
                      3D XY model. We show that the direct estimation of the
                      systematic error of the CL method using boundary terms is in
                      principle possible.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000505988400002},
      doi          = {10.1103/PhysRevD.101.014501},
      url          = {https://juser.fz-juelich.de/record/886181},
}