Collective neutrino oscillations can potentially play an important role in transporting lepton flavor in astrophysical scenarios where the neutrino density is large, typical examples are the early universe and supernova explosions. It has been argued in the past that simple models of the neutrino Hamiltonian designed to describe forward scattering can support substantial flavor evolution on very short timescales t≈log(N)/(GFρν), with N the number of neutrinos, GF the Fermi constant and ρν the neutrino density. This finding is in tension with results for similar but exactly solvable models for which t≈N/(GFρν) instead. In this work we provide a coherent explanation of this tension in terms of dynamical phase transitions (DPT) and study the possible impact that a DPT could have in more realistic models of neutrino oscillations and their mean-field approximation.

Dynamical phase transitions in models of collective neutrino oscillations / Roggero, Alessandro. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 104:12(2021), pp. 123023.1-123023.15. [10.1103/PhysRevD.104.123023]

Dynamical phase transitions in models of collective neutrino oscillations

Roggero, Alessandro
2021-01-01

Abstract

Collective neutrino oscillations can potentially play an important role in transporting lepton flavor in astrophysical scenarios where the neutrino density is large, typical examples are the early universe and supernova explosions. It has been argued in the past that simple models of the neutrino Hamiltonian designed to describe forward scattering can support substantial flavor evolution on very short timescales t≈log(N)/(GFρν), with N the number of neutrinos, GF the Fermi constant and ρν the neutrino density. This finding is in tension with results for similar but exactly solvable models for which t≈N/(GFρν) instead. In this work we provide a coherent explanation of this tension in terms of dynamical phase transitions (DPT) and study the possible impact that a DPT could have in more realistic models of neutrino oscillations and their mean-field approximation.
2021
12
Roggero, Alessandro
Dynamical phase transitions in models of collective neutrino oscillations / Roggero, Alessandro. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 104:12(2021), pp. 123023.1-123023.15. [10.1103/PhysRevD.104.123023]
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