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This research aims to create a functional renormalization group framework for history-dependent gravity, focusing on nonlocal effects.

July 26, 2026Open Access

Spectral Functional Renormalization Group for History-Dependent Gravity: A Closed Projected Flow (Paper XLIV)

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Randomized trial develops a framework for memory effects in gravity, suggesting nonperturbative approaches.

This research aims to create a functional renormalization group framework for history-dependent gravity, focusing on nonlocal effects.
Developed a scalar truncation framework for the temporally nonlocal sector of history-dependent gravity.
Projected the Wetterich equation onto the frequency domain to derive a closed flow equation for spectral density.
Analyzed the role of cubic truncation and zero-momentum projection in establishing invariant manifolds.
Defined a closed flow equation for the dimensionless spectral density indicating finite-dimensional behavior.
Established that this framework allows treatment of nonlocal memory effects nonperturbatively.
Outlined limitations and domain of validity for the cubic approximation and zero-momentum projection.

Alik Gimranov (2026) studied this question.

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