Canonical quantization of non-Abelian gauge theories
Thesis/Dissertation
·
OSTI ID:5163689
Non-Abelian gauge theory in a manifestly covariant gauge is formulated as a theory of canonical field operators and embedded in an indefinite metric space. A gauge fixing field is included and every field component has a non-vanishing adjoint momentum with which it has canonical commutation (or anticommutation) relations. Faddeev-Popov fields are represented as scalar fermion fields with ghost particle excitations. A discussion is given of the relation between the existence of a subsidiary condition and the existence of pure gauge states that dynamically detach from observable states. Feynman rules are derived from the canonical formulation. Unitarity and the existence of unphysical degrees of freedom is discussed. The mechanism responsible for the fact that S-matrix elements to pure gauge states vanish in non-Abelian gauge theories is examined in detail. The pure gauge states include single-particle gluon and Faddeev-Popov ghosts, and two-particle combinations of gluon and Faddeev-Popov ghosts. The significance of these results to the identification and elimination of unphysical degrees of freedom is discussed. The possibility that this mechanism may contribute to dynamic confinement is raised.
- Research Organization:
- Connecticut Univ., Storrs (USA)
- OSTI ID:
- 5163689
- Country of Publication:
- United States
- Language:
- English
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