Bootstrapping quarks and gluons

Conference · Sun Apr 01 04:00:00 EST 1979

OSTI ID:6025354

Chew, G F

Dual topological unitarization (DTU) - the approach to S-matrix causality and unitarity through combinatorial topology - is reviewed. Amplitudes associated with triangulated spheres are shown to constitute the core of particle physics. Each sphere is covered by triangulated disc faces corresponding to hadrons. The leading current candidate for the hadron-face triangulation pattern employs 3-triangle basic subdiscs whose orientations correspond to baryon number and topological color. Additional peripheral triangles lie along the hadron-face perimeter. Certain combinations of peripheral triangles with a basic-disc triangle can be identified as quarks, the flavor of a quark corresponding to the orientation of its edges that lie on the hadron-face perimeter. Both baryon number and flavor are additively conserved. Quark helicity, which can be associated with triangle-interior orientation, is not uniformly conserved and interacts with particle momentum, whereas flavor does not. Three different colors attach to the 3 quarks associated with a single basic subdisc, but there is no additive physical conservation law associated with color. There is interplay between color and quark helicity. In hadron faces with more than one basic subdisc, there may occur pairs of adjacent flavorless but colored triangles with net helicity +-1 that are identifiable as gluons. Broken symmetry is an automatic feature of the bootstrap. T, C and P symmetries, as well as up-down flavor symmetry, persist on all orientable surfaces.

• Research Organization: California Univ., Berkeley (USA). Lawrence Berkeley Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6025354
• Report Number(s): LBL-9015; CONF-790365-4
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BANACH SPACE
BOOTSTRAP MODEL
CAUSALITY
COLOR MODEL
COMPOSITE MODELS
CONFIGURATION
DISPERSION RELATIONS
DOCUMENT TYPES
ELEMENTARY PARTICLES
FLAVOR MODEL
GLUONS
HELICITY
HILBERT SPACE
LINEAR MOMENTUM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
ORIENTATION
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POSTULATED PARTICLES
QUANTUM NUMBERS
QUARK MODEL
QUARKS
REVIEWS
S MATRIX
SCATTERING AMPLITUDES
SINGULARITY
SPACE
SPHERICAL CONFIGURATION
SYMMETRY BREAKING
TOPOLOGY
UNITARITY