Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-10
J.Phys.A30:3003-3020,1997
Physics
High Energy Physics
High Energy Physics - Theory
19 pages,15 figures available in hard copy from C. Mukku, and through e-mail from mukkusm@uohyd.ernet.in. To appear in J. Phys
Scientific paper
10.1088/0305-4470/30/9/014
We present a comparative study of the dynamical behaviour of topological systems of recent interest, namely the non-Abelian Chern-Simons Higgs system and the Yang-Mills Chern-Simons Higgs system. By reducing the full field theories to temporal differential systems using the assumption of spatially homogeneous fields , we study the Lyapunov exponents for two types of initial conditions. We also examine in minute detail the behaviour of the Lyapunov spectra as a function of the various coupling parameters in the system. We compare and contrast our results with those for Abelian Higgs, Yang-Mills Higgs and Yang-Mills Chern-Simons systems which have been discussed by other authors recently. The role of the various terms in the Hamiltonians for such systems in determining the order-disorder transitions is emphasized and shown to be counter-intuitive in the Yang-Mills Chern-Simons Higgs systems.
Bambah Bindu A.
Lakshmibala S.
Mukku Chandrasekher
Segar J.
Sriram M. S.
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