A Valid Quantization of a Half-Harmonic Oscillator Field Theory

TL;DR

This paper develops a valid affine quantization approach for the half-harmonic oscillator field theory, extending the quantization methods for simpler models to more complex field theories.

Contribution

It introduces a new affine quantization method for the half-harmonic oscillator field theory, enabling further applications to realistic models.

Findings

Successful affine quantization of the half-harmonic oscillator field theory

Demonstrates potential for quantizing more complex field theories

Provides a framework for future theoretical developments

Abstract

The usual full- and half-harmonic oscillators are turned into field theories, and that behavior is examined using canonical and affine quantization. The result leads to a valid affine quantization of the half harmonic oscillator field theory, which points toward further valid quantizations of more realistic field theory models.