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      https://www.ias.ac.in/article/fulltext/pram/048/02/0617-0635

    • Keywords

       

      Gauge theories; integrability; chaos; phase space; Lyapunov exponents

    • Abstract

       

      In this review we present the salient features of dynamical chaos in classical gauge theories with spatially homogeneous fields. The chaotic behaviour displayed by both abelian and non-abelian gauge theories and the effect of the Higgs term in both cases are discussed. The role of the Chern-Simons term in these theories is examined in detail. Whereas, in the abelian case, the pure Chern-Simons-Higgs system is integrable, addition of the Maxwell term renders the system chaotic. In contrast, the non-abelian Chern-Simons-Higgs system is chaotic both in the presence and the absence of the Yang-Mills term. We support our conclusions with numerical studies on plots of phase trajectories and Lyapunov exponents. Analytical tests of integrability such as the Painlevé criterion are carried out for these theories. The role of the various terms in the Hamiltonians for the abelian Higgs, Yang-Mills-Higgs and Yang-Mills-Chern-Simons-Higgs systems with spatially homogeneous fields, in determining the nature of order-disorder transitions is highlighted, and the effects are shown to be counter-intuitive in the last-named system.

    • Author Affiliations

       

      S Lakshmibala1 Bindu A Bambah1 2 M S Sriram1 3 C Mukku1 4

      1. Department of Physics, Indian Institute of Technology, Madras - 600 036, India
      2. School of Physics, University of Hyderabad, Hyderabad - 500 046, India
      3. Department of Theoretical Physics, University of Madras, Madras - 600 025, India
      4. School of Mathematics and Computer/Information Sciences, University of Hyderabad, Hyderabad - 500 046, India
    • Dates

       
  • Pramana – Journal of Physics | News

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