No Cover Image

Journal article 548 views 14 downloads

Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches / S. Prem Kumar; Vladislav Vaganov

Journal of High Energy Physics, Volume: 2018, Issue: 3

Swansea University Author: Kumar, Prem

  • 10.1007-JHEP03(2018)092.pdf

    PDF | Version of Record

    This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0)

    Download (2.77MB)

Abstract

We study the nonperturbative quantum evolution of the interacting O(N) vector model at large-N, formulated on a spatial two-sphere, with time de- pendent couplings which diverge at finite time. This model - the so-called “E-frame” theory, is related via a conformal transformation to the interacting...

Full description

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa39051
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: We study the nonperturbative quantum evolution of the interacting O(N) vector model at large-N, formulated on a spatial two-sphere, with time de- pendent couplings which diverge at finite time. This model - the so-called “E-frame” theory, is related via a conformal transformation to the interacting O(N) model in three dimensional global de Sitter spacetime with time independent couplings. We show that with a purely quartic, relevant deformation the quantum evolution of the E-frame model is regular even when the classical theory is rendered singular at the end of time by the diverging coupling. Time evolution drives the E-frame theory to the large-N Wilson-Fisher fixed point when the classical coupling diverges. We study the quantum evolution numerically for a variety of initial conditions and demonstrate the finiteness of the energy at the classical “end of time”. With an additional (time dependent) mass deformation, quantum backreaction lowers the mass, with a puta- tive smooth time evolution only possible in the limit of infinite quartic coupling. We discuss the relevance of these results for the resolution of crunch singularities in AdS geometries dual to E-frame theories with a classical gravity dual.
Keywords: Crunch singularities, Holography, Nonequilibrium QFT
College: College of Science
Issue: 3