We present a quantum field theoretical approach to the vacuum neutrino oscillations in curved space, weanalyze the nontrivial interplay between quantum field mixing and field quantization in curved space andderive new oscillation formulas. We compute the formulas explicitly in the spatially flat Friedmann–Lemaitre–Robertson–Walker metrics for universes dominated by a cosmological constant and by radiation.We evaluate the transition probabilities in the Schwarzschild black hole metric, and we show that theHawking radiation affects the oscillations of neutrinos. We show that our results are consistent with those ofprevious analyses when the quantum mechanical limit is considered.

Neutrinos in curved spacetime: Particle mixing and flavor oscillations

Capolupo, A.;Lambiase, G.;Quaranta, A.
2020-01-01

Abstract

We present a quantum field theoretical approach to the vacuum neutrino oscillations in curved space, weanalyze the nontrivial interplay between quantum field mixing and field quantization in curved space andderive new oscillation formulas. We compute the formulas explicitly in the spatially flat Friedmann–Lemaitre–Robertson–Walker metrics for universes dominated by a cosmological constant and by radiation.We evaluate the transition probabilities in the Schwarzschild black hole metric, and we show that theHawking radiation affects the oscillations of neutrinos. We show that our results are consistent with those ofprevious analyses when the quantum mechanical limit is considered.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4746313
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