Canonical quantization and chromodynamics in a spherical cavity

Journal Article · Mon Aug 01 04:00:00 EDT 1988 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00669439· OSTI ID:6447265

Buser, R F; Viollier, R D; Zimak, P

The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constant g. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes.

• Research Organization: Univ. of Basel (Switzerland)
• OSTI ID: 6447265
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:8; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOSON EXPANSION
BOUNDARY CONDITIONS
CANONICAL DIMENSION
CAVITIES
CLASSICAL MECHANICS
COMMUTATION RELATIONS
COMPOSITE MODELS
COUPLING CONSTANTS
DIAGRAMS
DYSON REPRESENTATION
EXTENDED PARTICLE MODEL
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
GELL-MANN THEORY
GLUON MODEL
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARK-GLUON INTERACTIONS
QUARK-QUARK INTERACTIONS
SCALE DIMENSION
SYMMETRY
TWO-BODY PROBLEM