% 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{Helias:885756,
      author       = {Helias, Moritz},
      title        = {{M}omentum-dependence in the infinitesimal {W}ilsonian
                      renormalization group},
      journal      = {Journal of physics / A},
      volume       = {53},
      number       = {44},
      issn         = {1751-8121},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2020-04068},
      pages        = {445004 -},
      year         = {2020},
      abstract     = {Wilson's original formulation of the renormalization group
                      is perturbative in nature. We here present an alternative
                      derivation of the infinitesimal momentum shell
                      renormalization group, akin to the Wegner and Houghton
                      scheme, that is a priori exact. We show that the
                      momentum-dependence of vertices is key to obtain a
                      diagrammatic framework that has the same one-loop structure
                      as the vertex expansion of the Wetterich equation. Momentum
                      dependence leads to a delayed functional differential
                      equation in the cutoff parameter. Approximations are then
                      made at two points: truncation of the vertex expansion and
                      approximating the functional form of the momentum dependence
                      by a momentum-scale expansion. We exemplify the method on
                      the scalar phiv4-theory, computing analytically the
                      Wilson–Fisher fixed point, its anomalous dimension η(d)
                      and the critical exponent ν(d) non-perturbatively in d ∈
                      [3, 4] dimensions. The results are in reasonable agreement
                      with the known values, despite the simplicity of the
                      method.},
      cin          = {INM-6},
      ddc          = {530},
      cid          = {I:(DE-Juel1)INM-6-20090406},
      pnm          = {574 - Theory, modelling and simulation (POF3-574) / HBP
                      SGA2 - Human Brain Project Specific Grant Agreement 2
                      (785907) / neuroIC002 - Recurrence and stochasticity for
                      neuro-inspired computation (EXS-SF-neuroIC002) /
                      RenormalizedFlows - Transparent Deep Learning with
                      Renormalized Flows (BMBF-01IS19077A)},
      pid          = {G:(DE-HGF)POF3-574 / G:(EU-Grant)785907 /
                      G:(DE-82)EXS-SF-neuroIC002 / G:(DE-Juel-1)BMBF-01IS19077A},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000576613600001},
      doi          = {10.1088/1751-8121/abb169},
      url          = {https://juser.fz-juelich.de/record/885756},
}