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Order-chaos transitions in field theories with topological terms: a dynamical systems approach | | C.Mukku
; M.S.Sriram
; J. Segar
; Bindu A. Bambah
; S. Lakshmibala
; | | Date: |
10 Oct 1996 | | Journal: | J.Phys. A30 (1997) 3003-3020 | | Subject: | hep-th | | Affiliation: | Dept. of Math,Univ.of Hyderabad), M.S.Sriram and J. Segar(Dept. of Theoretical Phys., University of Madras), Bindu A. Bambah (School of Physics, Univ. of Hyderabad), S. Lakshmibala (Dept. of Physics, Indian Institute of Technology, Madras | | Abstract: | 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. | | Source: | arXiv, hep-th/9610071 | | Services: | Forum | Review | PDF | Favorites | |
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