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@ARTICLE{Hartung:474095,
      author       = {Hartung, Tobias and Jansen, Karl and Kuo, Frances Y. and
                      Leövey, Hernan and Nuyens, Dirk and Sloan, Ian H.},
      title        = {{L}attice meets lattice: {A}pplication of lattice cubature
                      to models in lattice gauge theory},
      journal      = {Journal of computational physics},
      volume       = {443},
      issn         = {0021-9991},
      address      = {Amsterdam},
      publisher    = {Elsevier},
      reportid     = {PUBDB-2022-00513, arXiv:2011.05451. DESY-20-209},
      pages        = {110527},
      year         = {2021},
      note         = {Journal of Computational Physics Volume 443, 15 October
                      2021, 110527VOLLTEXT angefragt Waiting for fulltext},
      abstract     = {•Recursive integration strategies independent of the
                      number of integration variables are proposed.•We show
                      lattice based cubature methods that can improve certain
                      integrals occurring in physics.•We show FFT based methods
                      to efficiently calculate certain integrals occurring in
                      physics. High dimensional integrals are abundant in many
                      fields of research including quantum physics. The aim of
                      this paper is to develop efficient recursive strategies to
                      tackle a class of high dimensional integrals having a
                      special product structure with low order couplings,
                      motivated by models in lattice gauge theory from quantum
                      field theory. A novel element of this work is the potential
                      benefit in using lattice cubature rules. The group structure
                      within lattice rules combined with the special structure in
                      the physics integrands may allow efficient computations
                      based on Fast Fourier Transforms. Applications to the
                      quantum mechanical rotor and compact U(1) lattice gauge
                      theory in two and three dimensions are considered.},
      keywords     = {dimension: 3 (INSPIRE) / lattice (INSPIRE) / lattice field
                      theory (INSPIRE) / Fourier transformation (INSPIRE) / field
                      theory (INSPIRE) / quantum mechanics (INSPIRE) / U(1)
                      (INSPIRE) / Lattice cubature (autogen) / Quasi-Monte Carlo
                      (autogen) / Recursive integration (autogen) / Lattice gauge
                      theory (autogen) / Quantum physics (autogen)},
      cin          = {$Z_ZPPT$},
      ddc          = {000},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2011.05451},
      howpublished = {arXiv:2011.05451},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2011.05451;\%\%$},
      UT           = {WOS:000687221100007},
      doi          = {10.1016/j.jcp.2021.110527},
      url          = {https://bib-pubdb1.desy.de/record/474095},
}