Spatio-temporal chaos and vacuum fluctuations of quantized fields / Christian Beck.

Format:

Book

Author/Creator:

Beck, Christian.

Series:

Advanced series in nonlinear dynamics ; v. 21.

Advanced series in nonlinear dynamics ; 21

Language:

English

Subjects (All):

Coupled map lattices.

Quantum field theory.

Stochastic processes.

String models.

Chaotic behavior in systems.

Statistical mechanics.

Particles (Nuclear physics).

Physical Description:

1 online resource (292 p.)

Edition:

1st ed.

Place of Publication:

New Jersey : World Scientific, c2002.

Language Note:

English

Summary:

"This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--P. xiii.

Contents:

Contents ; Preface ; Introduction ; Chapter 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 ; Chapter 2 Chaotic strings ; 2.1 Motivation for chaotic strings ; 2.2 Anti-integrable limit of a continuum oN+1-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 ; Chapter 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 ; Chapter 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 ; Chapter 5 Stochastic interpretation of the uncertainty relation

5.1 Fluctuations of momenta and positions

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 253-266) and index.

ISBN:

9789812778239

9812778233

OCLC:

879023415