Soft de Sitter Effective Theory
Abstract
AbstractCalculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes whose comoving momentum is far below the UV scale, which is set by the inverse comoving horizon. The SdSET is formulated using the same approach that yields the Heavy Quark Effective Theory. The degrees of freedom that capture the long wavelength dynamics are identified with the growing and decaying solutions to the equations of motion. The operator expansion is organized using a power counting scheme, and loops can be regulated while respecting the low energy symmetries. For massive quantum fields in a fixed de Sitter background, power counting implies that all interactions beyond the horizon are irrelevant. Alternatively, if the fields are very light, the leading interactions are at most marginal, and resumming the associated logarithms using (dynamical) renormalization group techniques yields the evolution equation for canonical stochastic inflation. The SdSET is also applicable to models where gravity is dynamical, including inflation. In this case, diffeomorphism invariance ensures that all interactions are irrelevant, trivially implying the all-orders conservation of adiabatic density fluctuations and gravitational waves. Wemore »
- Authors:
-
[1];
- Univ. of Oregon, Eugene, OR (United States)
- Univ. of California, San Diego, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of Oregon, Eugene, OR (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1838033
- Alternate Identifier(s):
- OSTI ID: 1905958
- Grant/Contract Number:
- SC0011640; SC0019035
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Cosmology of Theories beyond the SM; Effective Field Theories; Renormalization Group
Citation Formats
Cohen, Timothy, and Green, Daniel. Soft de Sitter Effective Theory. United States: N. p., 2020.
Web. doi:10.1007/jhep12(2020)041.
Cohen, Timothy, & Green, Daniel. Soft de Sitter Effective Theory. United States. https://doi.org/10.1007/jhep12(2020)041
Cohen, Timothy, and Green, Daniel. Mon .
"Soft de Sitter Effective Theory". United States. https://doi.org/10.1007/jhep12(2020)041. https://www.osti.gov/servlets/purl/1838033.
@article{osti_1838033,
title = {Soft de Sitter Effective Theory},
author = {Cohen, Timothy and Green, Daniel},
abstractNote = {AbstractCalculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes whose comoving momentum is far below the UV scale, which is set by the inverse comoving horizon. The SdSET is formulated using the same approach that yields the Heavy Quark Effective Theory. The degrees of freedom that capture the long wavelength dynamics are identified with the growing and decaying solutions to the equations of motion. The operator expansion is organized using a power counting scheme, and loops can be regulated while respecting the low energy symmetries. For massive quantum fields in a fixed de Sitter background, power counting implies that all interactions beyond the horizon are irrelevant. Alternatively, if the fields are very light, the leading interactions are at most marginal, and resumming the associated logarithms using (dynamical) renormalization group techniques yields the evolution equation for canonical stochastic inflation. The SdSET is also applicable to models where gravity is dynamical, including inflation. In this case, diffeomorphism invariance ensures that all interactions are irrelevant, trivially implying the all-orders conservation of adiabatic density fluctuations and gravitational waves. We briefly touch on the application to slow-roll eternal inflation by identifying novel relevant operators. This work serves to demystify many aspects of perturbation theory outside the horizon, and has a variety of applications to problems of cosmological interest.},
doi = {10.1007/jhep12(2020)041},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2020,
place = {United States},
year = {Mon Dec 07 00:00:00 EST 2020},
month = {Mon Dec 07 00:00:00 EST 2020}
}
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