Overview

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.Contents: Chaotic Quantization of Field TheoriesChaotic StringsVacuum Energy of Chaotic StringsPhase Transitions and Spontaneous Symmetry BreakingStochastic Interpretation of the Uncertainty RelationGeneralized Statistical Mechanics ApproachInteraction Energy of Chaotic StringsSelf Energy of Chaotic StringsTotal Vacuum Energy of Chaotic StringsGrand Unification11-Dimensional Space-Time and Quantum GravitySummaryReadership: Graduate students, researchers and academics involved in dynamical systems, statistical physics and high energy physics.

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9781299742017

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