Order-chaos transitions in field theories with topological terms: a dynamical systems approach

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dc.creatorMukku, C.
dc.creatorSriram, M. S.
dc.creatorSegar, J.
dc.creatorBambah, Bindu A.
dc.creatorLakshmibala, S.
dc.date1996-10-10
dc.date.accessioned2026-07-07T10:58:48Z
dc.date.available2026-07-07T10:58:48Z
dc.descriptionWe 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.
dc.description19 pages,15 figures available in hard copy from C. Mukku, and through e-mail from mukkusm@uohyd.ernet.in. To appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/9610071
dc.identifierhttp://arxiv.org/abs/hep-th/9610071
dc.identifierJ.Phys.A30:3003-3020,1997
dc.identifierdoi:10.1088/0305-4470/30/9/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187230
dc.subjectHigh Energy Physics - Theory
dc.titleOrder-chaos transitions in field theories with topological terms: a dynamical systems approach
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