Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

Gracey, JA ORCID: 0000-0002-9101-2853, Maier, A, Marquard, P and Schröder, Y (2025) Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops Physical Review D, 112 (8). 085029-. ISSN 2470-0010, 2470-0029

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Abstract

We renormalize the Gross-Neveu-Yukawa model with an OðNÞ symmetry to Oðϵ⁵Þ in d ¼ 4 − ϵ dimensions and determine the anomalous dimensions of the fermion and scalar fields, β functions as well as the scalar field’s mass operator. These are used to construct several N-dependent critical exponents relevant for quantum transitions in semimetals and in particular those connected with graphene in three dimensions when N ¼ 2. Improved exponent estimates for scalar fermion transitions on a honeycomb lattice, when N ¼ 1, as well as for N ¼ 5 are also given to compare with results from other techniques such as the conformal bootstrap.

Item Type:	Article
Uncontrolled Keywords:	4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Divisions:	Faculty of Science & Engineering Faculty of Science & Engineering > School of Physical Sciences Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	03 Nov 2025 09:18
Last Modified:	24 Jan 2026 05:28
DOI:	10.1103/lmpx-n3mj
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3195131
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