TY  - EJOUR
AU  - Gracey, J. A.
AU  - Maier, Andreas Martin
AU  - Marquard, P.
AU  - Schröder, Y.
TI  - Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
IS  - DESY-25-108
M1  - PUBDB-2025-02393
M1  - DESY-25-108
M1  - arXiv:2507.22594
PY  - 2025
N1  - 25 pages, 7 figures
AB  - 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.
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2025-02393
UR  - https://bib-pubdb1.desy.de/record/633347
ER  -