Origin and dynamics of the Primordial Magnetic field in a parity violating plasma

TL;DR

This thesis explores the origin and evolution of primordial magnetic fields in the early Universe, focusing on chiral symmetry, gravitational anomalies, and viscous effects using modified kinetic theory.

Contribution

It introduces a modified kinetic theory with Berry curvature to analyze magnetic field generation and identifies two key length scales affecting magnetic field modes.

Findings

Identification of kinetic and viscous length scales

Derivation of magnetic and vortical conductivities

Analysis of viscous effects on magnetic field modes

Abstract

In this thesis, we have studied the generation and evolution of the magnetic field in the early Universe. We investigated the generation of magnetic fields in the presence of chiral symmetry and gravitational anomaly. We have used modified kinetic theory by Berry curvature and derived expressions for magnetic and vortical conductivities. We have also shown that there are two length scales: kinetic and viscous, which is one of the important results. In the latter part of the thesis, we have shown the effect of second-order viscous effects on the modes of the magnetic fields.