Local covariant operator formalism of non-abelian gauge theories — a non-perturbative approach to quark confinement in the Heisenberg picture —

Abstract

A manifestly covariant and local operator formalism of non‐Abelian gauge theories is successfully formulated on the basis of BRS invariance. By this invariance as a quantum version of local gauge invariance, criteria for physical states and observables are dictated so as to preserve the principles of quantum theory: elimination of negative norms, physical S‐matrix unitarity, etc. In this framework of relativistic QFT, the logical structure of quark confinement problem is clarified together with its criteria.