From fundamental fields to constituent quarks and nucleon form factors

Conference · Mon Jan 01 04:00:00 EST 1990

OSTI ID:6160749

Coester, F

Constituent-quark models formulated in the frame work of nonrelativistic quantum mechanics have been successful in accounting for the mass spectra of mesons and baryons. Applications to elastic electron scattering require relativistic dynamics. Relativistic quantum mechanics of constituent quarks can be formulated by constructing a suitable unitary representation of the Poincare group on the three-quark Hilbert space. The mass and spin operators of this representation specify the relativistic model dynamics. The dynamics of fundamental quark fields, on the other hand, is specified by a Euclidean functional integral. In this paper I show how the dynamics of the fundamental fields can be related in principle to the Hamiltonian dynamics of quark particles through the properties of the Wightman functions. 14 refs.

• Research Organization: Argonne National Lab., IL (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6160749
• Report Number(s): CONF-9009285-2; ON: DE91006558
• Country of Publication: United States
• Language: English

Related Subjects

645200* -- High Energy Physics-- Particle Interactions & Properties-Theoretical
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
AXIOMATIC FIELD THEORY
BANACH SPACE
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
FIELD THEORIES
FORM FACTORS
FUNCTIONS
HAMILTONIANS
HILBERT SPACE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
QUARKS
RELATIVISTIC RANGE
SPACE
WAVE FUNCTIONS
WIGHTMAN FIELD THEORY