SU(4) and a new class of exact, time-dependent, classical solutions to gauge theories

Journal Article · Sat May 15 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2881· OSTI ID:7282096

Kaku, M

We construct an exact, time-dependent, classical solution to the Yang--Mills equation with SU(4) symmetry, generalizing the static solutions of Wu and Yang. This solution describing a pointlike particle which can execute arbitrary space--time motions is constructed out of Lienard--Wiechert potentials. The solution opens the door to an entirely new class of classical ansatz to gauge theories, including 't Hooft monopoles. Time-dependent classical solutions of this type may prove useful in constructing quantized bound-state hadronic systems. (AIP)

• Research Organization: Department of Physics, City College of the City University of New York, New York 10031
• OSTI ID: 7282096
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
NONLINEAR PROBLEMS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
STRING MODELS
SU GROUPS
SU-4 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY