Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam

Details Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam

2003-08-22

arxiv.org/abs/astro-ph/0308403v3

Astropart.Phys.20:669-682,2004

Astronomy and Astrophysics

Astrophysics

26 pages LATEX, two eps figures incorporated; the version published in Astroparticle Physics

Scientific paper

10.1016/j.astropartphys.2003.12.

It has been argued by Jacobson, Liberati and Mattingly that synchrotron radiation from the Crab Nebula imposes a stringent constraint on any modification of the dispersion relations of the electron that might be induced by quantum gravity. We supplement their analysis by deriving the spectrum of synchrotron radiation from the coupling of an electrically-charged particle to an external magnetic fields in the presence of quantum-gravity effects of the general form $(E/M_{QG})^\alpha$. We find that the synchrotron constraint from the Crab Nebula practically excludes $\alpha \lsim 1.74$ for $M_{QG} \sim m_P = 1.2 \times 10^{19}$ GeV. On the other hand, this analysis does not constrain any modification of the dispersion relation of the photon that might be induced by quantum gravity. We point out that such quantum-gravity effects need not obey the equivalence principle, a point exemplified by the Liouville-string D-particle model of space-time foam. This model suggests a linear modification of the dispersion relation for the photon, but not for the electron, and hence is compatible with known constraints from the Crab Nebula and elsewhere.

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