On the interaction of spin 3/2 particles
Abstract
Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that the ``contact-invariance'' is trivial and has no physical relevance. The requirement of the gauge-invariance of the free lagrangian fixes the off-shell lower-spin content of the spin-3/2 field. The gauge-invariance of the interaction lagrangian insures that these lower-spin components are not coupled, and (probably always) leads to theories consistent with local causality.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.