Harrison-Zeldovich spectrum from conformal invariance

2009/06/19 by V. A. Rubakov, Валерий Анатольевич Рубаков · 2 citations
Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Classical mechanics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Geometry #Invariant (physics) #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Quartic function #Scalar (mathematics) #Scalar field #Spectrum (functional analysis) #Symmetry (geometry) #Theoretical physics #astro-ph.CO #hep-ph #hep-th

paper · pdf · doi:10.1088/1475-7516/2009/09/030

published as JCAP 0909:030,2009 · 14 pages, 1 figure

arxiv created 2009/06/19 · openalex publication_date 2009/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that flat spectrum of small perturbations of field(s) is generated in a simple way in a theory of multi-component scalar field provided this theory is conformally invariant, it has some global symmetry and the quartic potential is negative. We suggest a mechanism of converting these field perturbations into adiabatic scalar perturbations with flat spectrum.

Citations

• A Model of Anthropic Reasoning, Addressing the Dark to Ordinary Matter Coincidence
• The development of irregularities in a single bubble inflationary universe
• Generating ekpyrotic curvature perturbations before the big bang
• INFLATION, DEFLATION, AND FRAME-INDEPENDENCE IN STRING COSMOLOGY
• Ekpyrotic universe: Colliding branes and the origin of the hot big bang
• Dynamics of phase transition in the new inflationary universe scenario and generation of perturbations
• Evolution to a smooth universe in an ekpyrotic contracting phase withw>1
• Duality invariance of cosmological perturbation spectra
• Spontaneous creation of almost scale-free density perturbations in an inflationary universe
• The pre-big bang scenario in string cosmology
• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION
• Fluctuations in the New Inflationary Universe

Cited by

• On holography for (pseudo-)conformal cosmology
• Spontaneous symmetry probing

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