paper

Unruh effect for neutrinos interacting with accelerated matter

arXiv:1507.01174 · doi:10.1007/JHEP08(2015)151

Abstract

We study the evolution of neutrinos in a background matter moving with a linear acceleration. The Dirac equation for a massive neutrino electroweakly interacting with background fermions is obtained in a comoving frame where matter is at rest. We solve this Dirac equation for ultrarelativistic neutrinos. The neutrino quantum states in matter moving with a linear acceleration are obtained. We demonstrate that the neutrino electroweak interaction with an accelerated matter leads to the vacuum instability which results in the neutrino-antineutrino pairs creation. We rederive the temperature of the Unruh radiation and find the correction to the Unruh effect due to the specific neutrino interaction with background fermions. As a possible application of the obtained results we discuss the neutrino pairs creation in a core collapsing supernova. The astrophysical upper limit on the neutrino masses is obtained.

16 pages, JHEP LaTeX style; paper is significantly revised, the discussion on QFT of neutrinos in accelerated matter is extended, the neutrino production in SN is discussed in more details, several new references are included, version to be published in JHEP

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