Dynamical constraints on RG flows and cosmology
Abstract Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin. Unfortunately, such sum rules have proven difficult to study in a cosmological setting. Motivated by this problem, we investigate a preci...
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doaj-64dffe298dd54b818b2db34801163f2b2020-12-20T12:05:11ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191213810.1007/JHEP12(2019)134Dynamical constraints on RG flows and cosmologyDaniel Baumann0Daniel Green1Thomas Hartman2Institute of Physics, University of AmsterdamDepartment of Physics, University of California, San DiegoDepartment of Physics, Cornell UniversityAbstract Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin. Unfortunately, such sum rules have proven difficult to study in a cosmological setting. Motivated by this problem, we investigate a precise analogue of inflation in anti-de Sitter spacetime, where it becomes dual to a slow renormalization group flow in the boundary quantum field theory. This dual description provides a firm footing for exploring the constraints of unitarity, analyticity, and causality on the bulk effective field theory. We derive a sum rule that constrains the bulk coupling constants in this theory. In the bulk, the sum rule is related to the speed of radial propagation, while on the boundary, it governs the spreading of nonlocal operators. When the spreading speed approaches the speed of light, the sum rule is saturated, suggesting that the theory becomes free in this limit. We also discuss whether similar results apply to inflation, where an analogous sum rule exists for the propagation speed of inflationary fluctuations.https://doi.org/10.1007/JHEP12(2019)134AdS-CFT CorrespondenceCosmology of Theories beyond the SMEffectiveField Theories, Renormalization Group |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Daniel Baumann Daniel Green Thomas Hartman |
spellingShingle |
Daniel Baumann Daniel Green Thomas Hartman Dynamical constraints on RG flows and cosmology Journal of High Energy Physics AdS-CFT Correspondence Cosmology of Theories beyond the SM Effective Field Theories, Renormalization Group |
author_facet |
Daniel Baumann Daniel Green Thomas Hartman |
author_sort |
Daniel Baumann |
title |
Dynamical constraints on RG flows and cosmology |
title_short |
Dynamical constraints on RG flows and cosmology |
title_full |
Dynamical constraints on RG flows and cosmology |
title_fullStr |
Dynamical constraints on RG flows and cosmology |
title_full_unstemmed |
Dynamical constraints on RG flows and cosmology |
title_sort |
dynamical constraints on rg flows and cosmology |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-12-01 |
description |
Abstract Sum rules connecting low-energy observables to high-energy physics are an interesting way to probe the mechanism of inflation and its ultraviolet origin. Unfortunately, such sum rules have proven difficult to study in a cosmological setting. Motivated by this problem, we investigate a precise analogue of inflation in anti-de Sitter spacetime, where it becomes dual to a slow renormalization group flow in the boundary quantum field theory. This dual description provides a firm footing for exploring the constraints of unitarity, analyticity, and causality on the bulk effective field theory. We derive a sum rule that constrains the bulk coupling constants in this theory. In the bulk, the sum rule is related to the speed of radial propagation, while on the boundary, it governs the spreading of nonlocal operators. When the spreading speed approaches the speed of light, the sum rule is saturated, suggesting that the theory becomes free in this limit. We also discuss whether similar results apply to inflation, where an analogous sum rule exists for the propagation speed of inflationary fluctuations. |
topic |
AdS-CFT Correspondence Cosmology of Theories beyond the SM Effective Field Theories, Renormalization Group |
url |
https://doi.org/10.1007/JHEP12(2019)134 |
work_keys_str_mv |
AT danielbaumann dynamicalconstraintsonrgflowsandcosmology AT danielgreen dynamicalconstraintsonrgflowsandcosmology AT thomashartman dynamicalconstraintsonrgflowsandcosmology |
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1724377124314284032 |