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@ARTICLE{Hartung:482164,
      author       = {Hartung, Tobias and Jansen, Karl and Kuo, Frances Y. and
                      Leövey, Hernan and Nuyens, Dirk and Sloan, Ian H.},
      title        = {{L}attice field computations via recursive numerical
                      integration},
      reportid     = {PUBDB-2022-04658, arXiv:2112.05069},
      year         = {2022},
      note         = {arXiv admin note: text overlap with arXiv:2011.05451},
      abstract     = {We investigate the application of efficient recursive
                      numerical integration strategies to models in lattice gauge
                      theory from quantum field theory. Given the coupling
                      structure of the physics problems and the group structure
                      within lattice cubature rules for numerical integration, we
                      show how to approach these problems efficiently by means of
                      Fast Fourier Transform techniques. In particular, we
                      consider applications to the quantum mechanical rotor and
                      compact $U(1)$ lattice gauge theory, where the physical
                      dimensions are two and three. This proceedings article
                      reviews our results presented in J. Comput. Phys 443 (2021)
                      110527.},
      keywords     = {lattice field theory (INSPIRE) / lattice (INSPIRE) /
                      Fourier transformation (INSPIRE) / quantum mechanics
                      (INSPIRE) / U(1) (INSPIRE)},
      cin          = {$Z_ZPPT$ / ZEU-THEO},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$ /
                      I:(DE-H253)ZEU-THEO-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2112.05069},
      howpublished = {arXiv:2112.05069},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2112.05069;\%\%$},
      doi          = {10.3204/PUBDB-2022-04658},
      url          = {https://bib-pubdb1.desy.de/record/482164},
}