Effective Electromagnetic Lagrangian at Finite Temperature and Density in the Electroweak Model

TL;DR

This paper calculates the effective electromagnetic Lagrangian at finite temperature and density within the electroweak model using exact propagators, providing explicit formulas relevant to astrophysics and cosmology.

Contribution

It presents a novel all-orders calculation of the effective electromagnetic Lagrangian at finite temperature and density in the electroweak model using exact propagators.

Findings

Explicit partition function and free energy at finite temperature and density

Closed-form expression for the finite temperature effective coupling

Potential implications for astrophysics and cosmology

Abstract

Using the exact propagators in a constant magnetic field, the effective electromagnetic Lagrangian at finite temperature and density is calculated to all orders in the field strength B within the framework of the complete electroweak model, in the weak coupling limit. The partition function and free energy are obtained explicitly and the finite temperature effective coupling is derived in closed form. Some implications of this result, potentially interesting to astrophysics and cosmology, are discussed.