Evolution of the fine-structure constant in runaway dilaton models
C. J. A. P. Martins, P. E. Vielzeuf, M. Martinelli, E. Calabrese and, S. Pandolfi

TL;DR
This paper investigates how the fine-structure constant evolves in string-inspired runaway dilaton models, using recent measurements to constrain the models and discussing potential observational signatures like redshift drift.
Contribution
It provides a detailed analysis of $\alpha$ evolution in runaway dilaton models and explores observational strategies to distinguish these from other varying $\alpha$ scenarios.
Findings
Current observations constrain model parameters.
Redshift drift signals can significantly differ from $\\Lambda$CDM at high redshifts.
Future measurements will tightly constrain these models.
Abstract
We study the detailed evolution of the fine-structure constant in the string-inspired runaway dilaton class of models of Damour, Piazza and Veneziano. We provide constraints on this scenario using the most recent measurements and discuss ways to distinguish it from alternative models for varying . For model parameters which saturate bounds from current observations, the redshift drift signal can differ considerably from that of the canonical CDM paradigm at high redshifts. Measurements of this signal by the forthcoming European Extremely Large Telescope (E-ELT), together with more sensitive measurements, will thus dramatically constrain these scenarios.
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