Magnetic Field Generation from Self-Consistent Collective Neutrino-Plasma Interactions

TL;DR

This paper introduces a covariant Lagrangian formalism for modeling collective neutrino-plasma interactions, revealing mechanisms for magnetic field generation and helicity production in astrophysical environments.

Contribution

It develops a novel, self-consistent fluid-based formalism for neutrino-plasma interactions that includes finite-temperature effects and relativistic covariance.

Findings

Demonstrates magnetic field generation from neutrino-plasma interactions

Shows production of magnetic helicity due to collective effects

Provides a framework for astrophysical magnetic field studies

Abstract

A new Lagrangian formalism for self-consistent collective neutrino-plasma interactions is presented in which each neutrino species is described as a classical ideal fluid. The neutrino-plasma fluid equations are derived from a covariant relativistic variational principle in which finite-temperature effects are retained. This new formalism is then used to investigate the generation of magnetic fields and the production of magnetic helicity as a result of collective neutrino-plasma interactions.