The abelian gauge-Yukawa $\beta$-functions at large $N_f$

Abstract

We study the impact of the Yukawa interaction in the large-$N_f$ limit to the abelian gauge theory. We compute the coupled $\beta$-functions for the system in a closed form at $\mathcal{O}(1/N_f)$.

13 pages, 6 figures. v3 matches the published version

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Cited by in corpus (14)

• Deconfined criticality in the QED${}_3$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited
• Large $N_f$ quantum field theory
• Safe Trinification
• Untangling scaling dimensions of fixed charge operators in Higgs Theories
• Safety versus triviality on the lattice
• Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Safe Glueballs and Baryons
• A critical look at $\beta$-function singularities at large $N$
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Bubble-resummation and critical-point methods for $\beta$-functions at large $N$
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Conformal Windows beyond Asymptotic Freedom