Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-10
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, revtex
Scientific paper
In the present paper we analyze the spectrum of quasinormal modes for massive scalar and Dirac fields, allowing for both tardyonic ($\mu^2 >0$) and tachyonic ($\mu^2 <0$) masses, in the expanding and rotating cosmological background. The found spectrum shows a number of peculiar features, which are absent in the Minkowski space-time. A hypothetical particle which moves faster than the light, a tachyon, is known to be classically unstable in the Minkowski space-time. This instability has its analog at the quantum level: small vacuum fluctuations of the field lead to the unbounded growth of the amplitude, so that appearance of the real tachyons in the spectrum means the catastrophic instability for the theory. It has been conjectured a long time ago that possibly the lightest particles with a nonzero mass, the neutrino, may be a tachyon. Here we shall show that in the rotating and expanding Universe tachyons are stable if their mass is less than some constant, which is related to the Universe's rotation and expansion scales. Current upper bound on the rotation scale gives us a very small upper bound on tachyon's mass which is many orders less than the mass of electron. This might be an explanation why only very light particles have a chance to be tachyons. It is shown that the spectrum of the "normal" ($\mu^2 >0$) Dirac field has a discontinuity as a function of the z-component of the wave vector $k_z$ at $k_z = 0$. Keywords: OPERA, superluminal neutrino.
Konoplya Roman A.
Zhidenko Alexander
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