Perturbative and Non-Perturbative Quarks and Gluons

TL;DR

This paper explores the observability of quarks and gluons, demonstrating a global obstruction to their observability and providing perturbative expressions for them that are BRST invariant up to certain orders.

Contribution

It reveals a global obstruction to quark and gluon observability and offers perturbative BRST-invariant expressions valid up to specific orders.

Findings

Global obstruction prevents quark and gluon observability at finite temperature

Perturbative BRST-invariant expressions are derived for quarks and gluons

Quarks and gluons are locally observable up to order g^2 and g respectively

Abstract

BRST invariance supplies a sufficient condition for the observability of fields. We show that there is a global obstruction to the observability of quarks and gluons and argue that they will not become observables at finite temperature. We give expressions for quarks and gluons that are, however, {\it perturbatively\/} BRST invariant, and hence locally observable, up to order~$g^2$ and~$g$ respectively.