Dynamical chaos in non-Abelian Chern-Simons-Higgs theories

Journal Article · Fri Apr 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.4246· OSTI ID:5124050

Sriram, M S ^[1]; Mukku, C ^[2]; Lakshmibala, S ^[3]; Bambah, B A ^[4]

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1. Department of Theoretical Physics, University of Madras, Madras-600 025 (India)
2. School of Mathematics and Computer/Information Sciences, University of Hyderabad, Hyderabad-500 134 (India)
3. Department of Physics, Indian Institute of Technology, Madras 600 036 (India)
4. School of Physics, University of Hyderabad, Hyderabad-500 134 (India)

We examine the dynamical behavior of non-Abelian Chern-Simons-Higgs systems. Using a Painleve analysis we show that the pure SU(2) Chern-Simons-Higgs system, with spatially homogeneous fields, is in general nonintegrable. With the addition of a kinetic energy term for the Yang-Mills field, the system remains nonintegrable. We explore the phase spaces for both systems and exhibit plots which show interesting behavior ranging from regular to chaotic. We also calculate the Lyapunov functions to show that the maximal exponents are positive. The variations of the exponents with respect to various parameters are also exhibited.

• OSTI ID: 5124050
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:8; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661300 -- Other Aspects of Physical Science-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
DYNAMICS
ENERGY
HIGGS MODEL
KINETIC ENERGY
LIE GROUPS
LYAPUNOV METHOD
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
PARTICLE MODELS
PHASE SPACE
SPACE
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY