On the roles of triality in the infrared QCD

TL;DR

This paper explores how the triality symmetry of octonions, derived from quaternion-based quark representations, influences gluon self-energy calculations and finite temperature effects in QCD.

Contribution

It introduces the role of octonion triality symmetry in QCD analysis, providing new insights into gluon self-energy and finite temperature phenomena.

Findings

Triality symmetry affects gluon self-energy calculations.

Octonion structure offers a novel perspective in finite temperature QCD.

Enhanced understanding of quaternion-octonion relations in QCD context.

Abstract

In the QCD analysis, when quarks are expressed in quaternion basis, the product of quaternions are expressed by octonions and the octonion posesses the triality symmetry. Roles of triality in the gluon self energy calculation and finite temperature QCD is explained.