Preprint

PUBDB-2025-02393

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

Gracey, J. A. ; Maier, A. M. ; Marquard, P. (Corresponding author)DESY* ; Schröder, Y.

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-02393

Report No.: DESY-25-108; arXiv:2507.22594

Abstract: We renormalize the Gross-Neveu-Yukawa model with an O(N ) symmetry to O(ϵ$^5$ ) 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.

Note: 25 pages, 7 figures

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. STRONG-2020 - The strong interaction at the frontier of knowledge: fundamental research and applications (824093) (824093)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; Published

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