Renormalization from microscopic to macroscopic interactions in CQ models

Develop a renormalization framework for the classical–quantum Yukawa/gravity model that determines how microscopic interaction parameters and noise coefficients (D0 and D2) flow to effective macroscopic interactions, enabling a consistent description of large composite objects beyond the point-mass approximation within the CQ path-integral/Feynman–Vernon formalism.

Background

In the paper’s conclusions, the authors note a key caveat in their phenomenological application: they assumed that large composite bodies (e.g., planets) could be treated as point masses, as is routinely justified in classical and perturbative quantum gravity by Gauss’s law. In the classical–quantum (CQ) framework, this reduction is not automatically guaranteed. The authors emphasize the need for a systematic renormalization paper to bridge microscopic couplings and noise terms to macroscopic effective interactions.

They highlight that their current analysis considers constant decoherence and diffusion parameters D0 and D2 and does not address how these quantities should be renormalized for composite systems. A renormalization program would clarify whether and how CQ predictions remain consistent when aggregating many microscopic constituents into effective macroscopic bodies.