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@ARTICLE{vandeVen:389878,
      author       = {van de Ven, Anton E. M.},
      title        = {{T}wo-loop quantum gravity},
      journal      = {Nuclear physics / B},
      volume       = {378},
      number       = {1-2},
      issn         = {0550-3213},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {PUBDB-2017-09108},
      pages        = {309 - 366},
      year         = {1992},
      note         = {Theorie},
      abstract     = {We prove the existence of a nonrenormalizable infinity in
                      the two-loop effective action of perturbative quantum
                      gravity by means of an explicit calculation. Our final
                      result agrees with that obtained by earlier authors. We use
                      the background-field method in coordinate space, combined
                      with dimensional regularization and a heat kernel
                      representation for the propagators. General covariance is
                      manifestly preserved. Only vacuum graphs in the presence of
                      an on-shell background metric need to be calculated. We
                      extend the background covariant harmonic gauge to include
                      terms nonlinear in the quantum gravitational fields and
                      allow for general reparametrizations of those fields. For a
                      particular gauge choice and field parametrization only two
                      three-graviton and six four-graviton vertices are present in
                      the action. Calculational labor is further reduced by
                      restricting to backgrounds, which are not only Ricci-flat,
                      but satisfy an additional constraint bilinear in the Weyl
                      tensor. To handle the still formidable amount of algebra, we
                      use the symbolic manipulation program FORM. We checked that
                      the on-shell two-loop effective action is in fact
                      independent of all gauge and field redefinition parameters.
                      A two-loop analysis for Yang-Mills fields is included as
                      well, since in that case we can give full details as well as
                      simplify earlier analyses.},
      cin          = {DESY(-2012)},
      ddc          = {530},
      cid          = {$I:(DE-H253)DESY_-2012_-20170516$},
      pnm          = {899 - ohne Topic (POF3-899)},
      pid          = {G:(DE-HGF)POF3-899},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:A1992JD95300010},
      doi          = {10.1016/0550-3213(92)90011-Y},
      url          = {https://bib-pubdb1.desy.de/record/389878},
}