What question did this study set out to answer?

This research aims to understand how gravitational wave signatures are affected by history-dependent gravity through the renormalization group.

June 28, 2026Open Access

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RG-Induced Spectral Diffusion in History-Dependent Gravity: Log-Normal Gravitational Wave Signatures for LISA

AGAlik GimranovIndependent University of Moscow

Key Points

This research aims to understand how gravitational wave signatures are affected by history-dependent gravity through the renormalization group.
Derived the renormalization group running of the memory kernel using functional renormalization group framework.
Analyzed spectral diffusion and its relation to kernel width and tensor spectrum.
Utilized Fisher forecasting to assess LISA's detection capabilities.
The kernel width relation is β_Λ = cξ, leading to spectral diffusion quantified by σ²(N) = Λ₀N + ½cξN².
The tensor spectrum shows log-normal distortion with dn_T/d ln k = -1/σ².
LISA can detect ξ ≳ 10⁻³ at approximately 10σ significance.

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 dnT/d ln k = -1/σ². Fisher forecasting shows LISA can detect ξ ≳ 10⁻³ at ~10σ significance.

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Cite This Study

Alik Gimranov (Fri,) studied this question.

synapsesocial.com/papers/6a40ba5661bb0a67205c6456 https://doi.org/https://doi.org/10.5281/zenodo.20928359

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