1. Constant-rate inflation: primordial black holes from conformal weight transitions
- Author
-
Yi-Peng Wu, Kin-Wang Ng, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), and Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,inflaton: potential ,Primordial black hole ,QC770-798 ,power spectrum ,01 natural sciences ,vacuum state ,High Energy Physics - Phenomenology (hep-ph) ,black hole: formation ,De Sitter universe ,correlation function ,slow-roll approximation: violation ,Mathematical physics ,Physics ,horizon: crossing ,scaling: dimension ,Hubble constant ,Conformal field theory ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Space-Time Symmetries ,critical phenomena ,Cosmology of Theories beyond the SM ,inflation: model ,High Energy Physics - Phenomenology ,symmetry: de Sitter ,non-Gaussianity ,curvature: perturbation ,black hole: primordial ,Astrophysics - Cosmology and Nongalactic Astrophysics ,background: de Sitter ,Nuclear and High Energy Physics ,Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,Critical phenomena ,FOS: Physical sciences ,Conformal map ,dark matter ,General Relativity and Quantum Cosmology ,field theory: scalar: massless ,invariance: scale ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,space-time: de Sitter ,010306 general physics ,Inflation (cosmology) ,field theory: conformal ,Conformal Field Theory ,010308 nuclear & particles physics ,Inflaton ,Symmetry (physics) ,boundary condition ,symmetry: dilation ,High Energy Physics - Theory (hep-th) ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph] - Abstract
Constant-rate inflation, including ultra-slow-roll as a special case, has been widely applied to the formation of primordial black holes with significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive analytic solutions for the curvature perturbations with respect to the late-time scaling dimensions (conformal weights) constrained by the dilatation symmetry of the de Sitter background and show that the continuity of conformal weights across different rolling phases is protected by the adiabatic condition of the inflaton perturbation. The temporal excitation of subleading states (with the next-to-lowest conformal weights), recorded as the "steepest growth" of the power spectrum, is triggered by the entropy production in the transition from slow-roll to constant-rate phases., Comment: 18 + 4 pages, 6 figures; v2: references added, provided entropy production as a criterion for the steepest growth; v3: minor corrections, version matched with publication
- Published
- 2021