Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields

Front Cover
World Scientific, 2002 - Science - 272 pages
1 Review
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chaotic strings
27
Vacuum energy of chaotic strings
57
Phase transitions and spontaneous symmetry break
75
Stochastic interpretation of the uncertainty rela
95
Generalized statistical mechanics approach
113
Interaction energy of chaotic strings
131
Self energy of chaotic strings
151
Total vacuum energy of chaotic strings
175
Grand unification
191
11dimensional spacetime and quantum gravity207
207
Summary
229
Bibliography
253
Index
267
Copyright

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information