Non-Abelian quantum field theory of pionic strong interactions

TL;DR

This paper develops a renormalizable non-Abelian quantum field theory for pionic strong interactions, incorporating rho-mesons and spontaneous symmetry breaking, and successfully predicts pion-pion scattering lengths consistent with experimental data.

Contribution

It introduces a novel non-Abelian quantum field theory for pions with rho-mesons, including Higgs mechanism and gauge fixing, advancing the theoretical understanding of strong interactions.

Findings

Pion-pion scattering lengths calculated at tree-level match experimental data

The theory is renormalizable at one-loop level

Hadron masses are generated via spontaneous symmetry breaking

Abstract

A renormalizable non-Abelian theory of strong interactions of pions, mediated by rho-mesons, is formulated at tree- and at one-loop level in perturbation theory. Hadron masses are generated through spontaneous symmetry breaking using the Higgs mechanism. Quantization and gauge fixing is achieved using the generalized class of $R_\xi$ gauges. As an application of this theory, pion-pion scattering lengths are obtained at tree-level in good agreement with data.