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BL
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964839
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b719209
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| Main Entry
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Beck, Christian.
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| Title & Author
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Spatio-temporal chaos and vacuum fluctuations of quantized fields /\ Christian Beck.
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| Publication Statement
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New Jersey :: World Scientific,, ©2002.
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| Series Statement
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Advanced series in nonlinear dynamics ;; 21
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| Page. NO
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1 online resource (xviii, 272 pages) :: illustrations
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| ISBN
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9789810247980
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: 9789812778239
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: 9810247982
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: 9812778233
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9810247982
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| Bibliographies/Indexes
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Includes bibliographical references (pages 253-266) and index.
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| Contents
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Ch. 1. Chaotic quantization of field theories. 1.1. Stochastic quantization. 1.2. Dynamical generation of the noise. 1.3. The free Klein-Gordon field with chaotic noise. 1.4. * Chaotic quantization in momentum space. 1.5. * Gauge fields with chaotic noise. 1.6. Distinguished properties of Tchebyscheff maps. 1.7. * Graph theoretical method. 1.8. * Perturbative approach -- ch. 2. Chaotic strings. 2.1. Motivation for chaotic strings. 2.2. Anti-integrable limit of a continuum [symbol]-theory. 2.3. Possible generalizations. 2.4. Yet another way to derive the chaotic string. 2.5. Symmetry properties. 2.6. Stability properties. 2.7. Fixed points. 2.8. * Spatio-temporal patterns -- ch. 3. Vacuum energy of chaotic strings. 3.1. Self energy of the N = 3 string. 3.2. Self energy of the N = 2 string. 3.3. Self energy for general N. 3.4. Interaction energy of chaotic strings. 3.5. * Double strings. 3.6. * Rotating strings -- ch. 4. Phase transitions and spontaneous symmetry breaking. 4.1. Some general remarks on phase transitions. 4.2. Vacuum expectation on 1-dimensional lattices. 4.3. * Real scalar field on d-dimensional lattices. 4.4. * Complex scalar field with U(1) symmetry. 4.5. * Chaotic Higgs field with SU(2) symmetry -- ch. 5. Stochastic interpretation of the uncertainty relation. 5.1. Fluctuations of momenta and positions. 5.2. Newton's law and self interaction. 5.3. Coulomb forces and Laplacian coupling. 5.4. Duality of interpretations. 5.5. Feynman webs. 5.6. Physical interpretation of discrete string symmetries. 5.7. Fluctuations of the metric and a 1+1 dimensional model of quantum gravity -- ch. 6. Generalized statistical mechanics approach. 6.1. Heat bath of the vacuum. 6.2. * States of maximum information. 6.3. * States of minimum correlation. 6.4. Nonextensive statistical mechanics. 6.5. Energy dependence of the entropic index q. 6.6. Fluctuations of temperature. 6.7. Klein-Gordon field with fluctuating momenta -- ch. 7. Interaction energy of chaotic strings. 7.1. Analogue of the Einstein field equations. 7.2. The 3A string -- electric interaction strengths of electrons and d-quarks. 7.3. The 3B string -- weak interaction strengths of neutrinos and u-quarks. 7.4. High-precision prediction of the electroweak parameters. 7.5. The 2A string -- strong interaction strength at the W-mass scale. 7.6. The 2B string -- the lightest scalar glueball. 7.7. The 2A- and 2B- strings -- towards a Higgs mass prediction. 7.8. Gravitational interaction -- ch. 8. Self energy of chaotic strings. 8.1. Self interacting scalar field equations. 8.2. The 3A string -- weak and strong interactions of heavy fermion flavors. 8.3. The 3B string -- further mixed states of heavy fermion flavors. 8.4. The 2A string -- further bosons. 8.5. The 2B string -- Yukawa interaction of the top quark. 8.6. Yukawa and gravitational interactions of all quarks and leptons. 8.7. Neutrino mass prediction. 8.8. The 2A- and 2B- strings -- bosonic mass ratios -- ch. 9. Total vacuum energy of chaotic strings. 9.1. Hadronization of free quarks. 9.2. Mesonic states. 9.3. Baryonic states. 9.4. * CP violation. 9.5. Planck scale interpretation. 9.6. Dark matter -- ch. 10. Grand unification. 10.1. Supersymmetric versus non-supersymmetric theories. 10.2. A supersymmetric scenario. 10.3. A non-supersymmetric scenario. 10.4. Final unification at the Planck scale. 10.5. Simplification for sin[symbol] = 1/2. 10.6. Bosons at the Planck scale. 10.7. * Some thoughts on supersymmetry -- ch. 11. 11-dimensional space-time and quantum gravity. 11.1. Chaotic dynamics in compactified dimensions. 11.2. Quantized Einstein field equations. 11.3. N = 1 strings and Minkowski space. 11.4. Potentials for the N = 1 strings and inflation. 11.5. Black holes, Hawking radiation, and duality. 11.6. The limit E [symbol]. 11.7. Brief history of the universe -- as seen from chaotic strings -- ch. 12. Summary. 12.1. Motivation and main results. 12.2. The chaotic string dynamics. 12.3. Vacuum energy of chaotic strings. 12.4. Fixing standard model parameters. 12.5. Numerical findings. 12.6. Physical embedding. 12.7. Conclusion.
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| Abstract
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"This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--Page xiii.
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Chaotic behavior in systems.
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Coupled map lattices.
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Particles (Nuclear physics)
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Quantum field theory.
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Statistical mechanics.
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Stochastic processes.
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String models.
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Chaotic behavior in systems.
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Coupled map lattices.
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Particles (Nuclear physics)
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Quantum field theory.
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SCIENCE-- Waves Wave Mechanics.
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Statistical mechanics.
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Stochastic processes.
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String models.
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| Dewey Classification
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530.14/3
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| LC Classification
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QC174.85.L38B43 2002eb
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