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@ARTICLE{Abbasi:364096,
      author       = {Abbasi, Navid and Rischke, Dirk H.},
      title        = {{T}hree-point functions from a {S}chwinger-{K}eldysh
                      effective action, resummed in derivatives},
      journal      = {Journal of high energy physics},
      volume       = {2025},
      number       = {5},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {GSI-2026-00275, 2410.07929},
      pages        = {241},
      year         = {2025},
      note         = {This article is distributed under the terms of the Creative
                      Commons Attribution License (CC-BY 4.0), which permits any
                      use, distribution and reproduction in any medium, provided
                      the original author(s) and source are credited.},
      abstract     = {The search for the conjectured QCD critical point in
                      heavy-ion collisions requires to account for far-from
                      equilibrium effects as well as fluctuations, and in
                      particular non-Gaussian fluctuations, in the modeling of the
                      dynamics of the hot and dense matter created in such
                      collisions. In order to study far-from equilibrium effects
                      as well as fluctuations, in this work we construct a
                      Schwinger-Keldysh effective field theory (EFT) for the
                      diffusion of the density to all orders in derivatives. The
                      dissipation in the free part of our EFT follows the
                      Boltzmann equation in the relaxation-time approximation
                      (RTA). The interaction part of the EFT is constructed based
                      on the self-interaction of the density field. We
                      analytically find the quadratic and cubic parts of the
                      KMS-invariant EFT in closed form, resummed in derivatives.
                      We then explicitly compute the symmetrized three-point
                      function at tree level, and investigate its analytical
                      structure in detail. We also analytically calculate the
                      branch-point singularity that appears in the structure of
                      the two-point response function due to loop effects. Our
                      results are important for future studies of the real-time
                      dynamics of the correlation functions and the possible
                      relation to thermalization when the system is far from
                      equilibrium.},
      cin          = {EXM / FHF},
      ddc          = {530},
      cid          = {I:(DE-Ds200)EXM-20080818OR100 /
                      I:(DE-Ds200)FHF-20200605OR451},
      pnm          = {612 - Cosmic Matter in the Laboratory (POF4-612) / DFG
                      project G:(GEPRIS)315477589 - TRR 211: Stark wechselwirkende
                      Materie unter extremen Bedingungen (315477589) / Physics of
                      hot and dense matter - Theory (HFHF project)
                      (I:(DE-Ds200)HFHF-HI-Th)},
      pid          = {G:(DE-HGF)POF4-612 / G:(GEPRIS)315477589 /
                      I:(DE-Ds200)HFHF-HI-Th},
      experiment   = {$EXP:(DE-Ds200)no_experiment-20200803$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001498718300003},
      doi          = {10.1007/JHEP05(2025)241},
      url          = {https://repository.gsi.de/record/364096},
}