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Main Author: Rudelius, Tom
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.24715
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author Rudelius, Tom
author_facet Rudelius, Tom
contents In a recent work, Herderschee and Wall (HW) proved a bound on scalar field excursions in spatially flat FRW cosmologies. In this note, we give an alternate proof of their bound using the Friedmann equations, and we prove that it can be saturated only in universes with vanishing acceleration, $\ddot a =0$. We argue that in a realistic (eternal) inflation scenario, the bound is robust against quantum corrections and spacetime curvature, and it can be violated by higher-derivative corrections only at the expense of a superluminal speed of sound. We further speculate on possible connections between the swampland program and the vacuum estimates given in the work of HW.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24715
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Field Excursion Bound
Rudelius, Tom
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In a recent work, Herderschee and Wall (HW) proved a bound on scalar field excursions in spatially flat FRW cosmologies. In this note, we give an alternate proof of their bound using the Friedmann equations, and we prove that it can be saturated only in universes with vanishing acceleration, $\ddot a =0$. We argue that in a realistic (eternal) inflation scenario, the bound is robust against quantum corrections and spacetime curvature, and it can be violated by higher-derivative corrections only at the expense of a superluminal speed of sound. We further speculate on possible connections between the swampland program and the vacuum estimates given in the work of HW.
title On the Field Excursion Bound
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.24715