Spatio-temporal Chaos and Vacuum Fluctuations of Quantized FieldsThis 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 | 1 |
1 | 9 |
1 | 15 |
Chaotic strings | 27 |
8 | 47 |
5 | 66 |
Chapter 4 | 75 |
3 | 82 |
2 | 114 |
Self energy of chaotic strings | 151 |
Total vacuum energy of chaotic strings | 175 |
Grand unification | 191 |
11dimensional spacetime and quantum gravity | 207 |
Chapter 7 | 208 |
Summary | 229 |
Bibliography | 253 |
Other editions - View all
Spatio-Temporal Chaos and Vacuum Fluctuations of Quantized Fields Christian Beck Limited preview - 2002 |
Common terms and phrases
1-dimensional 2B string a₁ B₁ B₂ baryons Beck black holes chaotic dynamics chaotic string dynamics chaotic string theories chaotic strings chapter coincide compactified compactified dimensions compactified space coupled map lattices coupling constant described electroweak evolve expectation fermion masses Feynman web interpretation fictitious field equations field theories fixed given glueball gravitational coupling hadronic Hence interaction energy iteration leptons Lett local minima mass scales mesons metric minima minimum mixing angle modulo momentum neutrino numerical observed obtained ordinary Parisi-Wu approach particles phase transition Phys physical interpretation Planck scale potential precision prediction quark masses scaling region self-interacting sin² spatial spin stable zeros standard model couplings standard model parameters statistical mechanics stochastic quantization string theories strong coupling superstring theory supersymmetric symmetry Tchebyscheff maps temperature thermodynamic total vacuum energy Tsallis vacuum energy vacuum fluctuations variable virtual particles yields Yukawa couplings