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@ARTICLE{Mages:842556,
      author       = {Mages, Simon and Tóth, Bálint C. and Borsányi, Szabolcs
                      and Fodor, Zoltán and Katz, Sándor D. and Szabo, Kalman},
      title        = {{L}attice {QCD} on nonorientable manifolds},
      journal      = {Physical review / D},
      volume       = {95},
      number       = {9},
      issn         = {2470-0010},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2018-00775},
      pages        = {094512},
      year         = {2017},
      abstract     = {A common problem in lattice QCD simulations on the torus is
                      the extremely long autocorrelation time of the topological
                      charge when one approaches the continuum limit. The reason
                      is the suppressed tunneling between topological sectors. The
                      problem can be circumvented by replacing the torus with a
                      different manifold, so that the connectivity of the
                      configuration space is changed. This can be achieved by
                      using open boundary conditions on the fields, as proposed
                      earlier. It has the side effect of breaking translational
                      invariance strongly. Here we propose to use a nonorientable
                      manifold and show how to define and simulate lattice QCD on
                      it. We demonstrate in quenched simulations that this leads
                      to a drastic reduction of the autocorrelation time. A
                      feature of the new proposal is that translational invariance
                      is preserved up to exponentially small corrections. A Dirac
                      fermion on a nonorientable manifold poses a challenge to
                      numerical simulations: the fermion determinant becomes
                      complex. We propose two approaches to circumvent this
                      problem.},
      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:000402471500012},
      doi          = {10.1103/PhysRevD.95.094512},
      url          = {https://juser.fz-juelich.de/record/842556},
}