Covariant quantization of infinite spin particle models, and higher order gauge theories

TL;DR

This paper develops a covariant quantization framework for higher order infinite spin particle models, demonstrating multiple Hamiltonian formulations, establishing conditions for unique quantization, and extending to supersymmetric and new spinning particle models.

Contribution

It introduces a general algorithm for gauge invariances in higher order Lagrangians and applies it to novel and existing infinite spin and spinning particle models.

Findings

Existence of multiple classically equivalent Hamiltonian formulations.

A consistent covariant quantization method is established.

Supersymmetric and new higher order spinning particle models are successfully quantized.

Abstract

Further properties of a recently proposed higher order infinite spin particle model are derived. Infinitely many classically equivalent but different Hamiltonian formulations are shown to exist. This leads to a condition of uniqueness in the quantization process. A consistent covariant quantization is shown to exist. Also a recently proposed supersymmetric version for half-odd integer spins is quantized. A general algorithm to derive gauge invariances of higher order Lagrangians is given and applied to the infinite spin particle model, and to a new higher order model for a spinning particle which is proposed here, as well as to a previously given higher order rigid particle model. The latter two models are also covariantly quantized.