%0 Electronic Article
%A Gracey, J. A.
%A Maier, Andreas Martin
%A Marquard, P.
%A Schröder, Y.
%T Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
%N DESY-25-108
%M PUBDB-2025-02393
%M DESY-25-108
%M arXiv:2507.22594
%D 2025
%Z 25 pages, 7 figures
%X We renormalize the Gross-Neveu-Yukawa model with an O(N ) symmetry to O(ϵ<sup>5</sup> ) in d = 4 − ϵdimensions and determine the anomalous dimensions of the fermion and scalar fields, β-functions aswell as the scalar field’s mass operator. These are used to construct several N dependent criticalexponents relevant for quantum transitions in semi-metals and in particular those connected withgraphene in three dimensions when N = 2. Improved exponent estimates for scalar fermion transitionson a honeycomb lattice, when N = 1, as well as for N = 5 are also given to compare with resultsfrom other techniques such as the conformal bootstrap.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2025-02393
%U https://bib-pubdb1.desy.de/record/633347