2020/11/30 by G. Fejős, G. Fejos, A. Patkós +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Functional renormalization group #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum field theory #Quark #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field #Yukawa potential #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.103.056015
published as Phys. Rev. D 103, 056015 (2021) · 13 pages, 2 figures, extended with numerics, omitted contribution to RG flow of Yukawa coupling is added
openalex publication_date 2021/03/22 · arxiv created 2021/04/13 · arxiv updated 2021/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the renormalization group flow of the field-dependent Yukawa coupling in the framework of the three flavor quark-meson model. In a conventional perturbative calculation, given that the field rescaling is trivial, the Yukawa coupling does not get renormalized at the one-loop level if it is coupled to an equal number of scalar and pseudoscalar fields. Its field-dependent version, however, does flow with respect to the scale. Using the functional renormalization group technique, we show that it is highly nontrivial how to extract the actual flow of the Yukawa coupling as there are several new chirally invariant operators that get generated by quantum fluctuations in the effective action, which need to be distinguished from that of the Yukawa interaction.