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

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arxiv 1808.03252 v3 pith:EDTR4MJJ submitted 2018-08-09 hep-ph hep-th

Tommi Alanne , Simone Blasi This is my paper · ORCID
classification hep-phhep-th
keywords abelianbetafunctionsclosedcomputecoupledformgauge
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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 $\mathcal{O}(1/N_f)$.

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  1. Safety versus triviality on the lattice

    hep-lat 2019-08 conditional novelty 6.0 of 10

    For SU(2) with 24 and 48 Dirac flavors, the lattice gradient-flow coupling matches the perturbative two-loop running at accessible scales and refuses to grow large, which is compatible with a Landau pole but does not ...

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