On the Quantum Theory of Massless Spin-3/2 Field in Minkowski Spacetime

TL;DR

This paper develops a geometric and modern foundation for the quantum theory of massless spin-3/2 fields in Minkowski spacetime, covering both single-particle quantum mechanics and quantum field theory, with applications in supergravity and related areas.

Contribution

It provides a concise, geometric approach to the quantum theory of massless spin-3/2 fields, including explicit formulations useful for various theoretical contexts.

Findings

Provides a unified framework for quantum mechanics and quantum field theory of spin-3/2 fields.

Explicit results applicable to supergravity, twistor theory, Casimir effect, and quantum inequalities.

Facilitates further research in high-energy physics and quantum gravity.

Abstract

From the modern viewpoint and by the geometric method, this paper provides a concise foundation for the quantum theory of massless spin-3/2 field in Minkowski spacetime, which includes both the one-particle's quantum mechanics and the many-particle's quantum field theory. The explicit result presented here is useful for the investigation of spin-3/2 field in various circumstances such as supergravity, twistor programme, Casimir effect, and quantum inequality.