Quantum gauge confinement of multiple quarks based on the homogeneous 5D projection theory

TL;DR

This paper introduces a 5D quantum field theory approach to gauge confinement, demonstrating how topological mapping leads to gauge constraints that explain multi-quark states and their experimental verification.

Contribution

It presents a novel 5D projection theory that models gauge invariance and confinement, predicting multi-quark states including penta-quarks.

Findings

Gauge constraints derived from 5D theory explain multi-quark states.

The theory predicts the existence of 4, 5, and 6 quark states.

Experimental verification of predicted states is feasible.

Abstract

A quick and simplified review of the 5D quantum field theory is presented. The role of topological mapping, which must preserve gauge invariance, is done in two ways, leading to the realization of the gauge transformation in the 5D space-time becoming two separate gauge constraints, one for the multi-quark state quark constituents, while the other is the quantum confinement imposed on the gluon potentials, formed from products of vector potentials generated by products of the fractional charged quark currents. The procedure presented clearly shows multi-quark states can be designed and that they can be verified by experiments, such as the penta-quark state reported. Based on these gauge constraints we propose the existence of 4, 5 and 6 quark states.