Patient observers and non-perturbative infrared dynamics in inflation

Ricardo Z. Ferreira, McCullen Sandora, Martin S. Sloth

Research output: Contribution to journalJournal articleResearchpeer-review

71 Downloads (Pure)

Abstract

We have previously derived the effect of soft graviton modes on the quantum state of de Sitter using spontaneously broken asymptotic symmetries. In the present paper we prove that this effect can be reinterpreted in terms of Bogoliubov transformations acting on the quantum state. This also enables us to address the much discussed issues regarding the observability of infrared effects in de Sitter from a new perspective. While it is commonly agreed that infrared effects are not visible to a single sub-horizon observer at late times, we argue that the question is less trivial for a patient observer who has lived long enough to have a record of the state before the soft mode was created. Though classically there is no obstruction to measuring this effect locally, we give several indications that quantum mechanical uncertainties may censor the effect. We then apply our methods to find a non-perturbative description of the quantum state pertaining to the Page time of de Sitter, and derive with these new methods the probability distribution for the local quantum states of de Sitter and slow-roll inflation in the presence of long modes. Finally, we show that this formalism reproduces and generalizes the usual criterion for the presence of eternal inflation in general classes of slow-roll inflation.

Original languageEnglish
Article number055
JournalJournal of Cosmology and Astroparticle Physics
Volume2018
Issue number2
Number of pages32
ISSN1475-7516
DOIs
Publication statusPublished - 2018

Fingerprint

gravitons
horizon
indication
formalism
symmetry

Keywords

  • ination
  • initial conditions and eternal universe

Cite this

@article{b4a93b91587a45d18ed7326837ff933b,
title = "Patient observers and non-perturbative infrared dynamics in inflation",
abstract = "We have previously derived the effect of soft graviton modes on the quantum state of de Sitter using spontaneously broken asymptotic symmetries. In the present paper we prove that this effect can be reinterpreted in terms of Bogoliubov transformations acting on the quantum state. This also enables us to address the much discussed issues regarding the observability of infrared effects in de Sitter from a new perspective. While it is commonly agreed that infrared effects are not visible to a single sub-horizon observer at late times, we argue that the question is less trivial for a patient observer who has lived long enough to have a record of the state before the soft mode was created. Though classically there is no obstruction to measuring this effect locally, we give several indications that quantum mechanical uncertainties may censor the effect. We then apply our methods to find a non-perturbative description of the quantum state pertaining to the Page time of de Sitter, and derive with these new methods the probability distribution for the local quantum states of de Sitter and slow-roll inflation in the presence of long modes. Finally, we show that this formalism reproduces and generalizes the usual criterion for the presence of eternal inflation in general classes of slow-roll inflation.",
keywords = "ination, initial conditions and eternal universe",
author = "Ferreira, {Ricardo Z.} and McCullen Sandora and Sloth, {Martin S.}",
year = "2018",
doi = "10.1088/1475-7516/2018/02/055",
language = "English",
volume = "2018",
journal = "Journal of Cosmology and Astroparticle Physics",
issn = "1475-7516",
publisher = "IOP Publishing",
number = "2",

}

Patient observers and non-perturbative infrared dynamics in inflation. / Ferreira, Ricardo Z.; Sandora, McCullen; Sloth, Martin S.

In: Journal of Cosmology and Astroparticle Physics, Vol. 2018, No. 2, 055, 2018.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Patient observers and non-perturbative infrared dynamics in inflation

AU - Ferreira, Ricardo Z.

AU - Sandora, McCullen

AU - Sloth, Martin S.

PY - 2018

Y1 - 2018

N2 - We have previously derived the effect of soft graviton modes on the quantum state of de Sitter using spontaneously broken asymptotic symmetries. In the present paper we prove that this effect can be reinterpreted in terms of Bogoliubov transformations acting on the quantum state. This also enables us to address the much discussed issues regarding the observability of infrared effects in de Sitter from a new perspective. While it is commonly agreed that infrared effects are not visible to a single sub-horizon observer at late times, we argue that the question is less trivial for a patient observer who has lived long enough to have a record of the state before the soft mode was created. Though classically there is no obstruction to measuring this effect locally, we give several indications that quantum mechanical uncertainties may censor the effect. We then apply our methods to find a non-perturbative description of the quantum state pertaining to the Page time of de Sitter, and derive with these new methods the probability distribution for the local quantum states of de Sitter and slow-roll inflation in the presence of long modes. Finally, we show that this formalism reproduces and generalizes the usual criterion for the presence of eternal inflation in general classes of slow-roll inflation.

AB - We have previously derived the effect of soft graviton modes on the quantum state of de Sitter using spontaneously broken asymptotic symmetries. In the present paper we prove that this effect can be reinterpreted in terms of Bogoliubov transformations acting on the quantum state. This also enables us to address the much discussed issues regarding the observability of infrared effects in de Sitter from a new perspective. While it is commonly agreed that infrared effects are not visible to a single sub-horizon observer at late times, we argue that the question is less trivial for a patient observer who has lived long enough to have a record of the state before the soft mode was created. Though classically there is no obstruction to measuring this effect locally, we give several indications that quantum mechanical uncertainties may censor the effect. We then apply our methods to find a non-perturbative description of the quantum state pertaining to the Page time of de Sitter, and derive with these new methods the probability distribution for the local quantum states of de Sitter and slow-roll inflation in the presence of long modes. Finally, we show that this formalism reproduces and generalizes the usual criterion for the presence of eternal inflation in general classes of slow-roll inflation.

KW - ination

KW - initial conditions and eternal universe

U2 - 10.1088/1475-7516/2018/02/055

DO - 10.1088/1475-7516/2018/02/055

M3 - Journal article

VL - 2018

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 2

M1 - 055

ER -