Quantum-mechanical effects of a massless spinor field in an anisotropic metric of Bianchi type IX are analyzed. It is concluded from an analysis of the operator representing the second-quantized Hamiltonian of the field and the helicity operator that a pronounced initial anisotropy causes a change in the structure of the vacuum state of the spinor field, with the result that this state acquires a nonzero lepton charge. An analogy with a known situation in supercritical electric fields is pointed out.
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I wish to thank A. A. Grib and A. V. Nesteruk for useful discussions.
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Pritomanov, S.A. Neutrino production in a mixed-world cosmological model. Soviet Physics Journal 28, 43–47 (1985). https://doi.org/10.1007/BF00896050
- Vacuum State
- Cosmological Model
- Lepton Charge
- Bianchi Type