Conformal dynamics in gauge theories via non-perturbative renormalization group
Haruhiko Terao, Akito Tsuchiya
TL;DR
This paper investigates the infrared fixed points in SU(N_c) gauge theories with massless fermions using non-perturbative renormalization group methods, highlighting the role of Yukawa couplings and anomalous dimensions in mass hierarchy.
Contribution
It introduces a non-perturbative RG analysis of IR fixed points including Yukawa interactions, revealing potential for hierarchical mass scales without fine-tuning.
Findings
IR fixed points with non-trivial Yukawa couplings identified
Scalar field renormalization properties analyzed
Large anomalous dimension may allow hierarchical masses
Abstract
The dynamics at the IR fixed point realized in the gauge theories with massless Dirac fermions is studied by means of the non-perturbative renormalization group. The analysis includes the IR fixed points with non-trivial Yukawa couplings. The renormalization properties of the scalar field are also discussed and it is shown that hierarchical mass scale may be allowed without intense fine-tuning due to a large anomalous dimension.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics · Atomic and Subatomic Physics Research