Hopf bifurcation in Yang--Mills mechanics
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The periodic non-Abelian space-independent solutions to Yang--Mills SU(2) equations are studied. Hopf bifurcation is shown to appear. New analytic solutions generating a simple Abelian source are found and their stability is discussed. The source can be produced by a fermion field; a self-consistent solution of Yang--Mills--Dirac equations is presented.
- Research Organization:
- Institut fuer Theoretische Physik der Universitaet zu Koeln, Zuelpicherstrasse 77, D-5000 Koln 41, Federal Republic of Germany
- OSTI ID:
- 5299278
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:10; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DISTURBANCES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
STABILITY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TIME DEPENDENCE
WAVE EQUATIONS
YANG-MILLS THEORY
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DISTURBANCES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
STABILITY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TIME DEPENDENCE
WAVE EQUATIONS
YANG-MILLS THEORY