Quantum chameleons
Abstract
We initiate a quantum treatment of chameleonlike particles, deriving classical and quantum forces directly from the path integral. It is found that the quantum force can potentially dominate the classical one by many orders of magnitude. We calculate the quantum chameleon pressure between infinite plates, which is found to interpolate between the Casimir and the integrated CasimirPolder pressures, respectively in the limits of full screening and no screening. To this end we calculate the chameleon propagator in the presence of an arbitrary number of onedimensional layers of material. For the EötWash experiment, the fivelayer propagator is used to take into account the intermediate shielding sheet, and it is found that the presence of the sheet enhances the quantum pressure by two orders of magnitude. As an example of implication, we show that in both the standard chameleon and symmetron models, large and previously unconstrained regions of the parameter space are excluded once the quantum pressure is taken into account.
 Publication:

Physical Review D
 Pub Date:
 May 2019
 DOI:
 10.1103/PhysRevD.99.104049
 arXiv:
 arXiv:1809.10166
 Bibcode:
 2019PhRvD..99j4049B
 Keywords:

 High Energy Physics  Phenomenology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 11 pages, 3 figures. v3: More details on calculations added. Matches journal version