Volume 82, Number 1, April 2008
Article Number 11001
Number of page(s) 6
Section The Physics of Elementary Particles and Fields
Published online 07 March 2008
EPL, 82 (2008) 11001
DOI: 10.1209/0295-5075/82/11001

Bifurcations and pattern formation in particle physics: An introductory study

E. 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.).

© EPLA 2008