sQFT: an autonomous explanation of the interactions of quantum particles

TL;DR

This paper introduces an autonomous quantum field theory framework that inherently accounts for the Standard Model and beyond, predicting interactions and particle content through internal consistency without relying on gauge invariance.

Contribution

It presents a novel, intrinsically quantum setup of QFT that derives particle interactions and content directly from fundamental principles, bypassing traditional gauge invariance assumptions.

Findings

Successfully models all Standard Model subtheories and beyond

Predicts particle interactions and content from internal consistency

Allows renormalizable perturbation theory without classical quantization

Abstract

Successful applications of a conceptually novel setup of Quantum Field Theory, that accounts for all subtheories of the Standard Model (QED, Electroweak Interaction and Higgs, Yang-Mills and QCD) and beyond (Helicity 2), call for a perspective view in a broader conceptual context. The setting is "autonomous" in the sense of being intrinsically quantum. Its principles are: Hilbert space, Poincar\'e symmetry and causality. Its free quantum fields are obtained from Wigner's unitary representations of the Poincar\'e group, with only physical and observable degrees of freedom. A "quantization" of an "underlying" classical theory is not needed. It allows renormalizable perturbation theory with interactions whose detailed structure, and in some cases even the particle content, is predicted by internal consistency. The results confirm and extend observable predictions for the interactions of the SM without assuming a "principle" of gauge invariance.