Consistency relations and conservation of ζ in holographic inflation

Journal Article · Tue Oct 18 00:00:00 EDT 2016 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2016/10/030· OSTI ID:22572167

Garriga, Jaume ^[1]; Urakawa, Yuko ^[2]

---

1. Departament de Física Fonamental i Institut de Ciències del Cosmos,Universitat de Barcelona,Martí i Franquès 1, 08028 Barcelona (Spain)
2. Department of Physics and Astrophysics, Nagoya University,Chikusa, Nagoya 464-8602 (Japan)

It is well known that, in single clock inflation, the curvature perturbation ζ is constant in time on superhorizon scales. In the standard bulk description this follows quite simply from the local conservation of the energy momentum tensor in the bulk. On the other hand, in a holographic description, the constancy of the curvature perturbation must be related to the properties of the RG flow in the boundary theory. Here, we show that, in single clock holographic inflation, the time independence of correlators of ζ follows from the absence of the anomolous dimension of the energy momentum tensor in the boundary theory, and from the so-called consistency relations for vertex functions with a soft leg.

• Sponsoring Organization: SCOAP3, CERN, Geneva (Switzerland)
• OSTI ID: 22572167
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 10; Other Information: PUBLISHER-ID: JCAP10(2016)030; OAI: oai:repo.scoap3.org:17560; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL INFLATION
DISTURBANCES
ENERGY-MOMENTUM TENSOR
HOLOGRAPHIC PRINCIPLE
INFLATIONARY UNIVERSE
PERTURBATION THEORY
QUANTUM COSMOLOGY
RENORMALIZATION
VERTEX FUNCTIONS