Quantum Larmor radiation in conformally flat universe
arXiv:1101.4699 · doi:10.1103/PhysRevD.83.045015
Abstract
We investigate the quantum effect on the Larmor radiation from a moving charge in an expanding universe based on the framework of the scalar quantum electrodynamics (SQED). A theoretical formula for the radiation energy is derived at the lowest order of the perturbation theory with respect to the coupling constant of the SQED. We evaluate the radiation energy on the background universe so that the Minkowski spacetime transits to the Milne universe, in which the equation of motion for the mode function of the free complex scalar field can be exactly solved in an analytic way. Then, the result is compared with the WKB approach, in which the equation of motion of the mode function is constructed with the WKB approximation which is valid as long as the Compton wavelength is shorter than the Hubble horizon length. This demonstrates that the quantum effect on the Larmor radiation of the order e^2\hbar is determined by a non-local integration in time depending on the background expansion. We also compare our result with a recent work by Higuchi and Walker [Phys. Rev. D80 105019 (2009)], which investigated the quantum correction to the Larmor radiation from a charged particle in a non-relativistic motion in a homogeneous electric field.
12 pages, 4 figure, accepted for publication in Physical Review D
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Cited by in corpus (11)
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- First-order quantum correction to the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field
- Radiation of inertial scalar particles in the de Sitter universe
- Quantum Larmor radiation from a moving charge in an electromagnetic plane wave background
- One-photon pair production on the expanding de Sitter spacetime
- Constraint on ghost-free bigravity from gravitational Cherenkov radiation
- Late-time quantum radiation by a uniformly accelerated detector in de Sitter spacetime
- Quantum Larmor radiation in de Sitter spacetime
- Gauge dependence in QED amplitudes in expanding de Sitter space