De Dirac a Maxwell: un Camino con Grupo de Lorentz

TL;DR

This paper introduces recent ideas in the Weinberg formalism related to the Lorentz group, connecting Dirac and Maxwell theories, and discusses their implications in quantum field theory at a graduate level.

Contribution

It provides an accessible overview of the Weinberg formalism and its recent developments, linking Dirac and Maxwell equations through Lorentz group representations.

Findings

New insights into the Weinberg $(j,0) igoplus (0,j)$ formalism

Connections between Dirac and Maxwell theories

Discussion of recent quantum field theory ideas

Abstract

This is a brief introduction on the graduate level to recent ideas in the Weinberg $(j,0)\oplus (0,j)$ formalism, appearing after presentation of the Bargamann-Wightman-Wigner-type quantum field theory by D. V. Ahluwalia {\it et al.}