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Spatio-temporal chaos and vacuum fluctuations of quantized fields. (English) Zbl 1066.81621
Advanced Series in Nonlinear Dynamics 21. River Edge, NJ: World Scientific (ISBN 981-02-4798-2). xix, 272 p. (2002).
Publisher’s description: This book describes new applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories. The stochastic quantization approach of Parisi and Wu is extended to more general deterministic chaotic processes as generated by coupled map lattices. In particular, so-called chaotic strings are introduced as a suitable small-scale dynamics of vacuum fluctuations. This more general approach to second quantization reduces to the ordinary stochastic quantization scheme on large scales, but it also opens up interesting new perspectives: chaotic strings appear to minimize their vacuum energy for the observed numerical values of the free standard model parameters.

MSC:
81T99 Quantum field theory; related classical field theories
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81T20 Quantum field theory on curved space or space-time backgrounds
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
81S10 Geometry and quantization, symplectic methods
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