Order-to-chaos transition in SU(2) Yang-Mills-Higgs theory

Journal Article · Thu Aug 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1274· OSTI ID:5220061

Kawabe, T ^[1]; Ohta, S ^[2]

---

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

The onset of dynamical chaos is numerically studied in spherically symmetric time-dependent SU(2) Yang-Mills-Higgs theory. From the induction phenomena and the dependence of the maximal Lyapunov exponents on perturbations to the 't Hooft--Polyakov magnetic-monopole solution we find that there exists a critical value of the perturbation, below which the system is regular. Above this critical value, the phase transition from order to chaos takes place and thus the system exhibits a spatiotemporal chaos which generates a random inhomogeneity of the color fields. Various characteristics of a regular phase and a chaotic one and the configurations of the fields are investigated by means of the real time evolution of the system.

• OSTI ID: 5220061
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:4; ISSN PRVDA; ISSN 0556-2821
• 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
BOUNDARY CONDITIONS
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HIGGS BOSONS
LAGRANGIAN FUNCTION
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERTURBATION THEORY
PHASE TRANSFORMATIONS
POSTULATED PARTICLES
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TIME DEPENDENCE
YANG-MILLS THEORY