Confinement of quarks and gluons in gauge quantum field theory
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
A SU(3)-gauge quantum field theory with a quark triplet, an antiquark triplet, and a self-conjugate gluon octet as basic fields is investigated. In virtue of a nontrivial coupling between the representation of the translation group and the SU(3)-color charge of the basic fields it is proved: (i) The basic quark, antiquark, and gluon fields are confined. (ii) Every state vector of the physical Hilbert space is a SU(3)-color singlet state. (iii) Poincare invariance holds in the physical Hilbert space. These results rest on a nonstandard transformation law of the basic fields with respect to translations. Its meaning within the frame of classical Lagrangian field theory for chromodynamics is investigated.
- Research Organization:
- Institut fuer Mathematik III, Freie Universitaet Berlin, Berlin, West Germany
- OSTI ID:
- 5922629
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:5; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Modified quantum chromodynamics: Exact global color symmetry and asymptotic freedom
Heavy quarks, gluons and the confinement potential in Coulomb gauge
Transformation properties of quark condensate under the color group
Journal Article
·
Sat Jan 14 23:00:00 EST 1978
· Phys. Rev., D; (United States)
·
OSTI ID:5033549
Heavy quarks, gluons and the confinement potential in Coulomb gauge
Journal Article
·
Mon May 23 00:00:00 EDT 2011
· AIP Conference Proceedings
·
OSTI ID:21513325
Transformation properties of quark condensate under the color group
Journal Article
·
Wed Jul 01 00:00:00 EDT 1981
· Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
·
OSTI ID:5728101
Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BAG MODEL
BANACH SPACE
COMPOSITE MODELS
COUPLING
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
HILBERT SPACE
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPACE
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS
VECTORS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BAG MODEL
BANACH SPACE
COMPOSITE MODELS
COUPLING
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
HILBERT SPACE
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPACE
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS
VECTORS