Onset of chaos in time-dependent spherically symmetric SU(2) Yang-Mills theory

Journal Article · Wed Mar 14 23:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1983· OSTI ID:7002001

Kawabe, T ^[1]; Ohta, S ^[2]

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1. Physics Department, Kyushu Institute of Design, Shiobaru, Fukuoka 815, Japan (JP)
2. College of General Education, Kyushu University, Ropponmatsu, Fukuoka 810, Japan (JP)

The chaotic nature of time-dependent, spherically symmetric solutions of SU(2) Yang-Mills equations is numerically studied. We show that the phase space near the Wu-Yang magnetic-monopole solution is intrinsically not only ergodic but also chaotic by measuring the induction period, the equal-time correlation, and the maximal Lyapunov exponents.

• OSTI ID: 7002001
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CLASSICAL MECHANICS
ELEMENTARY PARTICLES
HIGGS MODEL
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
MONOPOLES
PARTICLE MODELS
PERTURBATION THEORY
PHASE SPACE
POSTULATED PARTICLES
SPACE
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TENSOR FORCES
TIME DEPENDENCE
YANG-MILLS THEORY