Classical-quantum scattering

• URL: http://arxiv.org/abs/2412.04839v1
• Date: Fri, 06 Dec 2024 08:14:50 GMT
• Title: Classical-quantum scattering
• Authors: Daniel Carney, Akira Matsumura,
• Abstract summary: We find that we can define and calculate probabilities scattering which are Lorentz-covariant.<n>We comment on lessons learned for attempts to couple quantum matter to non-quantum'' gravity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze the framework recently proposed by Oppenheim et al. to model relativistic quantum fields coupled to relativistic, classical, stochastic fields (in particular, as a model of quantum matter coupled to ``classical gravity''). Perhaps surprisingly, we find that we can define and calculate scattering probabilities which are Lorentz-covariant and conserve total probability, at least at tree level. As a concrete example, we analyze $2 \to 2$ scattering of quantum matter mediated by a classical Yukawa field. Mapping this to a gravitational coupling in the non-relativistic limit, and assuming that we can treat large objects as point masses, we find that the simplest possible ``classical-quantum'' gravity theory constructed this way gives predictions for $2 \to 2$ gravitational scattering which are inconsistent with simple observations of, e.g., spacecraft undergoing slingshot maneuvers. We comment on lessons learned for attempts to couple quantum matter to ``non-quantum'' gravity, or more generally, for attempts to couple relativistic quantum and classical systems.

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