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This work aims to derive the spectral density of the memory kernel in History-Dependent Gravity using functional renormalization techniques.

August 12, 2026Open Access

Emergent Spectral Density from Functional Renormalization (Paper LXX)

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Randomized trial derives spectral density in gravity, suggesting it emerges dynamically rather than being inputted.

This work aims to derive the spectral density of the memory kernel in History-Dependent Gravity using functional renormalization techniques.
Utilized functional renormalization group (FRG) flow to analyze the spectral density.
Applied a scalar-channel truncation with Litim regulator to solve the Wetterich equation.
Extracted spectral density using the Källén-Lehmann representation.
Demonstrated emergence of non-trivial spectral density from zero ultraviolet initial condition.
Established universality of the dimensionless ratio R* = 1.71 ± 0.01 across different UV conditions.
Proved that spectral density cannot be reconstructed from local functionals of the resolvent.

Alik Gimranov (2026) studied this question.

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