Quantum Field Theory Deserves Extra Help

TL;DR

This paper explores how affine quantization (AQ) can complement canonical quantization (CQ) in quantum field theory, potentially improving the quantization of models like , which CQ alone struggles to handle.

Contribution

It introduces affine quantization as an alternative approach that yields non-free results for , suggesting it can enhance the quantization process in QFT.

Findings

AQ produces non-free results for 

Adding AQ to CQ may improve quantization of complex QFT models

CQ fails for , while AQ succeeds

Abstract

Today's quantum field theory (QFT) relies heavenly on canonical quantization (CQ), which fails for $\varphi^4_4$ leading only to a "free" result. Affine quantization (AQ), an alternative quantization procedure, leads to a "non-free" result for the same model. Perhaps adding AQ to CQ can improve the quantization of a wide class of problems in QFT.