Diffeomorphism invariant classical-quantum path integrals for Nordstrom gravity

• URL: http://arxiv.org/abs/2401.05514v1
• Date: Wed, 10 Jan 2024 19:23:00 GMT
• Title: Diffeomorphism invariant classical-quantum path integrals for Nordstrom gravity
• Authors: Jonathan Oppenheim, Andrea Russo, Zachary Weller-Davies
• Abstract summary: 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)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

Related papers

• The weak field limit of quantum matter back-reacting on classical spacetime [0.0]
  Consistent coupling of quantum and classical degrees of freedom exists so long as there is diffusion of the classical degrees of freedom and decoherence of the quantum system. We derive the Newtonian limit of such classical-quantum (CQ) theories of gravity.
  arXiv  Detail & Related papers  (2023-07-05T18:01:06Z)
• Covariant path integrals for quantum fields back-reacting on classical space-time [0.0]
  We introduce configuration space path integrals for quantum fields interacting with classical fields. We show that this can be done consistently by proving that the dynamics are completely positive directly. They generalize and combine the Feynman-Vernon path integral of open quantum systems and the path integral of classical dynamics.
  arXiv  Detail & Related papers  (2023-02-14T19:00:10Z)
• Path integrals for classical-quantum dynamics [0.0]
  Consistent dynamics which couples classical and quantum degrees of freedom exists. We derive a general path integral representation for such dynamics in terms of a classical-quantum action. When the classical-quantum Hamiltonian is at most quadratic in the momenta we are able to derive a configuration space path integral.
  arXiv  Detail & Related papers  (2023-01-11T19:03:26Z)
• A healthier semi-classical dynamics [0.0]
  We study the back-reaction of quantum systems onto classical ones. We take the starting point that semi-classical physics should be described at all times by a point in classical phase space and a quantum state in Hilbert space.
  arXiv  Detail & Related papers  (2022-08-24T18:04:14Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• The role of fluctuations in quantum and classical time crystals [58.720142291102135]
  We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
  arXiv  Detail & Related papers  (2022-03-10T19:00:01Z)
• Wave Functional of the Universe and Time [62.997667081978825]
  A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. The history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions.
  arXiv  Detail & Related papers  (2021-10-18T09:41:59Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• The constraints of post-quantum classical gravity [0.0]
  We study a class of theories in which space-time is treated classically, while interacting with quantum fields. We compute the constraint algebra for a wide class of realisations of the theory.
  arXiv  Detail & Related papers  (2020-11-30T18:48:25Z)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.