Advanced Series in Nonlinear Dynamics - Vol. 21
SPATIO-TEMPORAL CHAOS AND VACUUM FLUCTUATIONS OF QUANTIZED FIELDS
by Christian Beck (Queen Mary, University of London, UK)
Contents (186k)
Preface (166k)
Introduction (549k)
Chapter 1: Chaotic quantization of field theories
Chapter 1.1: Stochastic quantization (214k)
Chapter 1.2: Dynamical generation of the noise (311k)
Chapter 1.3: The free Klein-Gordon field with chaotic noise (257k)
Chapter 1.4: Chaotic quantization in momentum space (100k)
Chapter 1.5: Gauge fields with chaotic noise (121k)
Chapter 1.6: Distinguished properties of Tchebyscheff maps (209k)
Chapter 1.7: Graph theoretical method (324k)
Chapter 1.8: Perturbative approach (157k)
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 Theories
- Chaotic Strings
- Vacuum
Energy of Chaotic Strings
- Phase Transitions and Spontaneous Symmetry Breaking
- Stochastic Interpretation of the Uncertainty Relation
- Generalized Statistical Mechanics Approach
- Interaction Energy of Chaotic Strings
- Self Energy of Chaotic Strings
- Total Vacuum Energy of Chaotic Strings
- Grand Unification
- 11-Dimensional Space-Time and Quantum Gravity
- Summary
Readership: Graduate students, researchers and academics involved in dynamical
systems, statistical physics and high energy physics.
| 292pp |
Pub. date: Apr 2002 |
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