Pair production and solutions of the wave equation for particles with arbitrary spin

TL;DR

This paper explores the behavior of particles with arbitrary spin in electromagnetic fields, deriving solutions for pair production and vacuum polarization effects, contributing to quantum field theory understanding.

Contribution

It provides exact solutions and density matrices for particles of arbitrary spin in electromagnetic fields, extending previous models.

Findings

Derived the density matrix for pure spin states.

Calculated pair production probabilities for arbitrary spin particles.

Analyzed vacuum polarization effects in external fields.

Abstract

We investigate the theory of particles with arbitrary spin and anomalous magnetic moment in the Lorentz representation (0,s)X(s,0), in an external constant and uniform electromagnetic field. We obtain the density matrix of free particles in pure spin states. The differential probability of pair producing particles with arbitrary spin by an external constant uniform electromagnetic field has been found using the exact solutions. We have calculated the imaginary and real parts of the Lagrangian in an electromagnetic field that takes into account vacuum polarization.