Diffeomorphism invariant classical-quantum path integrals for Nordstrom gravity
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917563719483392 |
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| author | Oppenheim, Jonathan Russo, Andrea Weller-Davies, Zachary |
| author_facet | Oppenheim, Jonathan Russo, Andrea Weller-Davies, Zachary |
| contents | When classical degrees of freedom and quantum degrees of freedom are consistently coupled, the former diffuse, while the latter undergo decoherence. Here, we construct a theory of quantum matter fields and Nordstrom gravity in which the space-time metric is treated classically. The dynamics is constructed via the classical-quantum path integral and is completely positive, trace preserving (CPTP), and respects the classical-quantum split. The weak field limit of the model matches the Newtonian limit of the full covariant path integral but it is easier to show that the theory is both diffeomorphism invariant, CPTP, and has the appropriate classical limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffeomorphism invariant classical-quantum path integrals for Nordstrom gravity Oppenheim, Jonathan Russo, Andrea Weller-Davies, Zachary General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics When classical degrees of freedom and quantum degrees of freedom are consistently coupled, the former diffuse, while the latter undergo decoherence. Here, we construct a theory of quantum matter fields and Nordstrom gravity in which the space-time metric is treated classically. The dynamics is constructed via the classical-quantum path integral and is completely positive, trace preserving (CPTP), and respects the classical-quantum split. The weak field limit of the model matches the Newtonian limit of the full covariant path integral but it is easier to show that the theory is both diffeomorphism invariant, CPTP, and has the appropriate classical limit. |
| title | Diffeomorphism invariant classical-quantum path integrals for Nordstrom gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2401.05514 |