RG-Induced Spectral Diffusion in History-Dependent Gravity: Log-Normal Gravitational Wave Signatures for LISA
Year: 2026
Type: article
Abstract: We derive the renormalization group running of the memory kernel in history-dependent gravity from the functional renormalization group framework. The kernel width obeys β_Λ = cξ, leading to spectral diffusion with width σ²(N) = Λ₀N + ½cξN². The resulting tensor spectrum exhibits a log-normal distortion with finite running dn_T/d ln k = -1/σ². Fisher forecasting shows LISA can detect ξ ≳ 10⁻³ at ~10σ significance.
Author: Gimranov, Alik
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166103129
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