Evolution of a dense neutrino gas in matter and electromagnetic field
arXiv:1108.5043 · doi:10.1016/j.nuclphysb.2011.10.025
Abstract
We describe the system of massive Weyl fields propagating in a background matter and interacting with an external electromagnetic field. The interaction with an electromagnetic field is due to the presence of anomalous magnetic moments. To canonically quantize this system first we develop the classical field theory treatment of Weyl spinors in frames of the Hamilton formalism which accounts for the external fields. Then, on the basis of the exact solution of the wave equation for a massive Weyl field in a background matter we obtain the effective Hamiltonian for the description of spin-flavor oscillations of Majorana neutrinos in matter and a magnetic field. Finally, we incorporate in our analysis the neutrino self-interaction which is essential when the neutrino density is sufficiently high. We also discuss the applicability of our results for the studies of collective effects in spin-flavor oscillations of supernova neutrinos in a dense matter and a strong magnetic field.
10 pages, two columns, Revtex4.1; 1 new reference is added, multiple typos are corrected; version to be published in Nucl. Phys. B
References in corpus (4)
- Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
- Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
- Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field
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- Neutrino Quantum Kinetic Equations
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- Transition Magnetic Moments and Collective Neutrino Oscillations:Three-Flavor Effects and Detectability
- The charged lepton mass matrix and non-zero with TeV scale New Physics
- Neutrino-antineutrino oscillations induced by strong magnetic fields in dense matter
- Effects of nonstandard neutrino self-interactions and magnetic moment on collective Majorana neutrino oscillations
- Collective Oscillations of Majorana Neutrinos in Strong Magnetic Fields and Self-induced Flavor Equilibrium
- Two-photon interactions with Majorana fermions
- Theoretical developments in supernova neutrino physics : mass corrections and pairing correlators
- Canonical quantization, path integral representations, and pseudoclassical description of massive Weyl neutrinos in external backgrounds
- Matter- and magnetically-driven flavor conversion of neutrinos in magnetorotational collapses
- Quantization of massive Weyl fields in vacuum
- Quantum field theory treatment of the neutrino spin-flavor precession in a magnetic field
- Massive Majorana neutrinos in matter and a magnetic field