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@ARTICLE{Behan:619443,
      author       = {Behan, Connor and Lauria, Edoardo and Nocchi, Maria and
                      Vliet, Philine Julia van},
      title        = {{A}nalytic and numerical bootstrap for the long-range
                      {I}sing model},
      journal      = {Journal of high energy physics},
      volume       = {2024},
      number       = {3},
      issn         = {1029-8479},
      address      = {[Trieste]},
      publisher    = {SISSA},
      reportid     = {PUBDB-2024-07636, DESY-23-175. arXiv:2311.02742},
      pages        = {136},
      year         = {2024},
      note         = {49 + 13 pages, 10 figures, 1 ancillary notebook},
      abstract     = {We combine perturbation theory with analytic and numerical
                      bootstrap techniques to study the critical point of the
                      long-range Ising (LRI) model in two and threedimensions.
                      This model interpolates between short-range Ising (SRI) and
                      mean-feld behaviour. We use the Lorentzian inversion formula
                      to compute infnitely many three-loopcorrections in the
                      two-dimensional LRI near the mean-feld end. We further
                      exploit theexact OPE relations that follow from bulk
                      locality of the LRI to compute infnitely manytwo-loop
                      corrections near the mean-feld end, as well as some one-loop
                      corrections near SRI.By including such exact OPE relations
                      in the crossing equations for LRI we set up a
                      veryconstrained bootstrap problem, which we solve
                      numerically using SDPB. We fnd a family ofsharp kinks for
                      two- and three-dimensional theories which compare favourably
                      to perturbativepredictions, as well as some Monte Carlo
                      simulations for the two-dimensional LRI.},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      FUNBOOTS - Solving Conformal Field Theories with the
                      Functional Bootstrap (101043588) / QFT.zip - Compressing
                      many-body quantum states in continuous space-time with
                      tensor networks (101040260) / DFG project
                      G:(GEPRIS)400570283 - Das Conformal Bootstrap Programm
                      (400570283) / DFG project G:(GEPRIS)471314740 - Holographie
                      und das Swampland: Konsistenzbedingungen an fundamentale
                      Physik aus der Quantengravitation (471314740)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101043588 /
                      G:(EU-Grant)101040260 / G:(GEPRIS)400570283 /
                      G:(GEPRIS)471314740},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2311.02742},
      howpublished = {arXiv:2311.02742},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2311.02742;\%\%$},
      UT           = {WOS:001189258800002},
      doi          = {10.1007/JHEP03(2024)136},
      url          = {https://bib-pubdb1.desy.de/record/619443},
}