Vacuum Cherenkov effect in logarithmic nonlinear quantum theory
Abstract
We describe the radiation phenomena which can take place in the physical vacuum such as Cherenkovtype shock waves. Their macroscopical characteristics  cone angle, flash duration, radiation yield and spectral distribution  are computed. It turns out that the radiation yield is proportional to the square of the proper energy scale of the vacuum which serves also as the vacuum instability threshold and the natural ultraviolet cutoff. While the analysis is mainly based on the theory engaging the logarithmic nonlinear quantum wave equation, some of the obtained results must be valid for any Lorentzinvariance violating theory describing the vacuum by (effectively) continuous medium in the longwavelength approximation.HighlightsThe Cherenkovtype shock waves can take place in the physical vacuum. Their macroscopical characteristics, cone angle, flash duration, radiation yield and spectral distribution, are computed. The radiation yield is proportional to the square of the proper energy of the vacuum.
 Publication:

Physics Letters A
 Pub Date:
 June 2011
 DOI:
 10.1016/j.physleta.2011.05.012
 arXiv:
 arXiv:1003.0657
 Bibcode:
 2011PhLA..375.2305Z
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Phenomenology
 EPrint:
 Updates: v2: changed title, added comments about vacuum instability and Hawking radiation, added some refs previously missed due to certain linguistic subtlety, v3 [pub]: removed comments about Hawking radiation (requested by referees as it requires a separate study), changed title, added more refs