Abstract
Abstract
Inspired by real-time computations in AdS black holes, we propose a method to obtain the influence phase of a cosmological observer by calculating the on-shell action on a doubled spacetime geometry. The influence phase is the effective action for an open system: for a dS static patch observer coupled to a scalar field it incorporates the radiation reaction due to the bulk fields and their dS Hawking radiation. For a general extended source in dS, we describe how to account for finite size effects. In the long-time limit, we get a Markovian open quantum system susceptible to cosmological fluctuations, whereas the short-time limit reproduces the worldline theory of flat-space radiation reaction. We also present a fully covariantised form for the cubic corrections to the radiation reaction in even spacetime dimensions, including Hubble contributions, and find an intriguing recursive structure across dimensions.
Publisher
Springer Science and Business Media LLC
Reference122 articles.
1. S.M. Carroll, The Cosmological constant, Living Rev. Rel. 4 (2001) 1 [astro-ph/0004075] [INSPIRE].
2. P.J.E. Peebles and B. Ratra, The Cosmological Constant and Dark Energy, Rev. Mod. Phys. 75 (2003) 559 [astro-ph/0207347] [INSPIRE].
3. J. Frieman, M. Turner and D. Huterer, Dark Energy and the Accelerating Universe, Ann. Rev. Astron. Astrophys. 46 (2008) 385 [arXiv:0803.0982] [INSPIRE].
4. D.H. Weinberg et al., Observational Probes of Cosmic Acceleration, Phys. Rept. 530 (2013) 87 [arXiv:1201.2434] [INSPIRE].
5. E. Witten, Quantum gravity in de Sitter space, in the proceedings of the Strings 2001: International Conference, Mumbai, India, January 05–10 (2001) [hep-th/0106109] [INSPIRE].