Retrospective on Quantization

TL;DR

This paper reviews the ongoing challenges in quantization within modern physics, focusing on Nambu mechanics, QCD, and quark confinement, and discusses various proposed approaches, some unconventional.

Contribution

It provides a comprehensive overview of unresolved quantization problems in physics, highlighting specific issues in Nambu mechanics and QCD, and suggests new, including unconventional, solutions.

Findings

Discussion on Harrison cohomology's role in quantization

Analysis of quantization challenges in QCD and quark confinement

Proposals for novel approaches to unresolved quantization problems

Abstract

Quantization is still a central problem of modern physics. One example of an unsolved problem is the quantization of Nambu mechanics. After a brief comment on the role of Harrison cohomology, this review concentrates on the central problem of quantization of QCD and, more generally, quark confinement seen as a problem of quantization. Several suggestions are made, some of them rather extravagant.