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Main Authors: Van Raamsdonk, Mark, Zibakhsh, Rana
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.03914
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author Van Raamsdonk, Mark
Zibakhsh, Rana
author_facet Van Raamsdonk, Mark
Zibakhsh, Rana
contents We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant operator associated with a bulk scalar field that evolves from a local maximum of its potential near the boundary to a local minimum of its potential deep in the bulk. By studying the gravity solutions dual to this theory on $\mathbb{R}^3 \times S^1$, we find that the equation of state parameter $w$ for the field theory has the conformal behavior $w=1/3$ for high and low temperatures, but dips to lower values for intermediate temperatures. Thus, at scales where the field theory has significant scale-dependence, its effect on cosmological evolution is intermediate between matter and radiation. Compared to the unperturbed UV CFT (which acts as radiation), the energy density experiences less dilution during the expansion as a result of the RG flow, and the rate of expansion is greater.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03914
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cosmology with non-conformal holographic matter
Van Raamsdonk, Mark
Zibakhsh, Rana
High Energy Physics - Theory
We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant operator associated with a bulk scalar field that evolves from a local maximum of its potential near the boundary to a local minimum of its potential deep in the bulk. By studying the gravity solutions dual to this theory on $\mathbb{R}^3 \times S^1$, we find that the equation of state parameter $w$ for the field theory has the conformal behavior $w=1/3$ for high and low temperatures, but dips to lower values for intermediate temperatures. Thus, at scales where the field theory has significant scale-dependence, its effect on cosmological evolution is intermediate between matter and radiation. Compared to the unperturbed UV CFT (which acts as radiation), the energy density experiences less dilution during the expansion as a result of the RG flow, and the rate of expansion is greater.
title Cosmology with non-conformal holographic matter
topic High Energy Physics - Theory
url https://arxiv.org/abs/2409.03914