% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Schwgerl:638440,
      author       = {Schwägerl, Tim and Jansen, Karl and Kühn, Stefan},
      title        = {{F}ermion discretization effects in the two-flavor lattice
                      {S}chwinger model: {A} study with matrix product states},
      journal      = {Physical review / D},
      volume       = {112},
      number       = {9},
      issn         = {2470-0010},
      address      = {Ridge, NY},
      publisher    = {American Physical Society},
      reportid     = {PUBDB-2025-04068, arXiv:2509.02329},
      pages        = {094501},
      year         = {2025},
      note         = {23 pages, 11 figures},
      abstract     = {We present a comprehensive tensor network study of
                      staggered, Wilson, and twisted mass fermions in the
                      Hamiltonian formulation, using the massive two-flavor
                      Schwinger model as a benchmark. Particular emphasis is
                      placed on twisted mass fermions, whose properties in this
                      context have not been systematically explored before. We
                      confirm the expected O(a) improvement in the free theory and
                      observe that this improvement persists in the interacting
                      case. By leveraging an electric-field-based method for mass
                      renormalization, we reliably tune to maximal twist and
                      establish the method's applicability in the two-flavor
                      model. Once mass renormalization is included, the pion mass
                      exhibits rapid convergence to the continuum limit.
                      Finite-volume effects are addressed using two complementary
                      approaches: dispersion relation fits and finite-volume
                      scaling. Our results show excellent agreement with
                      semiclassical predictions and reveal a milder volume
                      dependence for twisted mass fermions compared to staggered
                      and Wilson discretizations. In addition, we observe clear
                      isospin-breaking effects, suggesting intriguing parallels
                      with lattice QCD. These findings highlight the advantages of
                      twisted mass fermions for Hamiltonian simulations and
                      motivate their further exploration, particularly in view of
                      future applications to higher-dimensional lattice gauge
                      theories.},
      cin          = {CQTA / HUB / $Z_ET$},
      ddc          = {530},
      cid          = {I:(DE-H253)CQTA-20221102 / I:(DE-H253)HUB-20140108 /
                      $I:(DE-H253)Z_ET-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / QUEST -
                      QUantum computing for Excellence in Science and Technology
                      (101087126)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101087126},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2509.02329},
      howpublished = {arXiv:2509.02329},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2509.02329;\%\%$},
      doi          = {10.1103/5kwl-8dhm},
      url          = {https://bib-pubdb1.desy.de/record/638440},
}