Abstract
In a QFT on de Sitter background, one can study correlators between fields pushed to the future and past horizons of a comoving observer. This is a neat probe of the physics in the observer’s causal diamond (known as the static patch). We use this observable to give a generalization of the quasinormal spectrum in interacting theories, and to connect it to the spectral density that appears in the Källén-Lehmann expansion of dS correlators. We also introduce a finite-temperature effective field theory consisting of free bulk fields coupled to a boundary. In matching it to the low frequency expansion of correlators, we find positivity constraints on the EFT parameters following from unitarity.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R.A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: from astrophysics to string theory, Rev. Mod. Phys. 83 (2011) 793 [arXiv:1102.4014] [INSPIRE].
P.R. Brady, C.M. Chambers, W.G. Laarakkers and E. Poisson, Radiative falloff in Schwarzschild-de Sitter space-time, Phys. Rev. D 60 (1999) 064003 [gr-qc/9902010] [INSPIRE].
M. Mirbabayi, Markovian dynamics in de Sitter, JCAP 09 (2021) 038 [arXiv:2010.06604] [INSPIRE].
E.S.C. Ching, P.T. Leung, W.M. Suen and K. Young, Wave propagation in gravitational systems: late time behavior, Phys. Rev. D 52 (1995) 2118 [gr-qc/9507035] [INSPIRE].
J. Bros, Complexified de Sitter space: analytic causal kernels and Kallen-Lehmann type representation, Nucl. Phys. B Proc. Suppl. 18 (1991) 22 [INSPIRE].
M. Hogervorst, J. Penedones and K.S. Vaziri, Towards the non-perturbative cosmological bootstrap, JHEP 02 (2023) 162 [arXiv:2107.13871] [INSPIRE].
L. Di Pietro, V. Gorbenko and S. Komatsu, Analyticity and unitarity for cosmological correlators, JHEP 03 (2022) 023 [arXiv:2108.01695] [INSPIRE].
A. Adams et al., Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
E. Albrychiewicz and Y. Neiman, Scattering in the static patch of de Sitter space, Phys. Rev. D 103 (2021) 065014 [arXiv:2012.13584] [INSPIRE].
D. Anninos, F. Denef, Y.T.A. Law and Z. Sun, Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions, JHEP 01 (2022) 088 [arXiv:2009.12464] [INSPIRE].
Y.T.A. Law and K. Parmentier, Black hole scattering and partition functions, JHEP 10 (2022) 039 [arXiv:2207.07024] [INSPIRE].
M. Spradlin, A. Strominger and A. Volovich, Les Houches lectures on de Sitter space, in the proceedings of Les Houches summer school: session 76. Euro summer school on unity of fundamental physics: gravity, gauge theory and strings, (2001), p. 423 [hep-th/0110007] [INSPIRE].
A.A. Starobinsky, Stochastic de Sitter (inflationary) stage in the early universe, Lect. Notes Phys. 246 (1986) 107 [INSPIRE].
A.A. Starobinsky and J. Yokoyama, Equilibrium state of a selfinteracting scalar field in the de Sitter background, Phys. Rev. D 50 (1994) 6357 [astro-ph/9407016] [INSPIRE].
V. Gorbenko and L. Senatore, λϕ4 in dS, arXiv:1911.00022 [INSPIRE].
T. Cohen, D. Green, A. Premkumar and A. Ridgway, Stochastic inflation at NNLO, JHEP 09 (2021) 159 [arXiv:2106.09728] [INSPIRE].
G. Panagopoulos and E. Silverstein, Primordial black holes from non-Gaussian tails, arXiv:1906.02827 [INSPIRE].
S. Duary, Celestial amplitude for 2d theory, JHEP 12 (2022) 060 [arXiv:2209.02776] [INSPIRE].
D. Kapec and A. Tropper, Integrable field theories and their CCFT duals, JHEP 02 (2023) 128 [arXiv:2210.16861] [INSPIRE].
R.A. Porto, The effective field theorist’s approach to gravitational dynamics, Phys. Rept. 633 (2016) 1 [arXiv:1601.04914] [INSPIRE].
S. Endlich, A. Nicolis, R.A. Porto and J. Wang, Dissipation in the effective field theory for hydrodynamics: first order effects, Phys. Rev. D 88 (2013) 105001 [arXiv:1211.6461] [INSPIRE].
H. Liu and P. Glorioso, Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics, PoS TASI2017 (2018) 008 [arXiv:1805.09331] [INSPIRE].
H. Epstein, Remarks on quantum field theory on de Sitter and anti-de Sitter space-times, Pramana 78 (2012) 853 [INSPIRE].
H. Goodhew, S. Jazayeri and E. Pajer, The cosmological optical theorem, JCAP 04 (2021) 021 [arXiv:2009.02898] [INSPIRE].
A. Kamenev, Field theory of non-equilibrium systems, Cambridge University Press (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2211.11672
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Mirbabayi, M., Riccardi, F. Probing de Sitter from the horizon. J. High Energ. Phys. 2023, 53 (2023). https://doi.org/10.1007/JHEP04(2023)053
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2023)053