Bifurcations and pattern formation in particle physics: An introductory studyE. Goldfain
Photonics CoE, Welch Allyn Inc. - Skaneateles Falls, NY 13153, USA
received 19 October 2007; accepted in final form 8 February 2008; published April 2008
published online 7 March 2008
Quantum field theories lead in general to a large number of coupled nonlinear equations. Solving field equations in analytic form or through lattice-based computations is a difficult task that has been only partially successful. We argue that the theory of nonlinear dynamical systems offers valuable insights and a fresh approach to this challenge. It is suggested that universal transition to chaos in nonlinear dissipative systems provides novel answers to some of the open questions surrounding the standard model for particle physics.
12.60.-i - Models beyond the standard model.
05.45.-a - Nonlinear dynamics and chaos.
05.30.Pr - Fractional statistics systems (anyons, etc.).
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