Local SU(3) gauge invariance in Weyl 2-spinor language and quark-gluon plasma equations of motion

TL;DR

This paper introduces a novel Weyl 2-spinor framework for SU(3) gauge theories, describing quark interactions with color fields through field strengths rather than potentials, with potential applications to early universe quark-gluon plasma.

Contribution

It develops a new Weyl 2-spinor approach to non-Abelian SU(3) gauge theories, differing from conventional methods by using field strengths to describe particle-field interactions.

Findings

Derived analytical expressions similar to electrodynamics.

Formulated classical equations for quark behavior in gluon fields.

Potential application to early universe quark-gluon plasma.

Abstract

In a new Weyl 2-spinor approach to Non abelian Gauge Theories, starting with the local U(1) Gauge group of a previous work, we study now the SU(3) case corresponding to quarks (antiquarks) interacting with color fields. The principal difference with the conventional approach is that particle-field interactions are not described by means of potentials but by the field strength magnitudes. Some analytical expressions showing similarities with electrodynamics are obtained. Classical equations that describe the behavior of quarks under gluon fields might be in principle applied to the quark-gluon plasma phase existing during the first instants of the Universe.