Stability of the cascading gauge theory de Sitter DFPs
arXiv:2210.17380 · doi:10.1007/JHEP01(2023)130
Abstract
We study stability of the Dynamical Fixed Points (DFPs) of the cascading gauge theory at strong coupling in de Sitter space-time. We compute the spectra of the perturbative fluctuations and identify stable/unstable DFPs, characterized by the ratio of the strong coupling scale of the gauge theory and the Hubble constant of the background space-time. We discover a new phenomenon in the spectrum of gravitational fluctuations of a non-conformal holographic model: distinct branches of the fluctuations for coalesce for sufficiently low , leading to the removal of some excited modes from the spectrum. We establish that, at least in a dual supergravity approximation, cascading gauge theory does not have a stable DFP for . Initial states of the theory for evolve to a stable DFP with unbroken chiral symmetry; while for the states evolve to a de Sitter vacuum with spontaneously broken chiral symmetry.
arXiv comment90 pages, 14 figures
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