Canonical quantization of gauge theories

Journal Article · Thu Apr 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2235· OSTI ID:7354559

Hasenfratz, P; Hrasko, P

A canonical quantization scheme in a Hilbert space with positive-definite metric is proposed for local gauge theories, based on Dirac's general theory of singular dynamical systems. A theorem on the subsidiary conditions, permitting a perturbation treatment, is stated and proved. Unitarity in the subspace of allowed states is demonstrated. The method is applied to the case of free electrodynamics in a nonlinear gauge and Yang-Mills theory in the covariant Feynman gauge. The description does not require introduction of ghost particles. The rules for calculating graphs are shown to be equivalent to those in a Lagrangian approach with a ghost. (AIP)

• Research Organization: Central Research Institute for Physics, Budapest, Hungary
• OSTI ID: 7354559
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
ELECTRODYNAMICS
FIELD THEORIES
GAUGE INVARIANCE
HILBERT SPACE
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
MATHEMATICAL SPACE
METRICS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SPACE
UNITARITY
YANG-MILLS THEORY