1.

Record Nr.

UNINA9910785093403321

Autore

Beck Christian

Titolo

Spatio-temporal chaos and vacuum fluctuations of quantized fields [[electronic resource] /] / Christian Beck

Pubbl/distr/stampa

New Jersey, : World Scientific, c2002

ISBN

981-277-823-3

Descrizione fisica

1 online resource (292 p.)

Collana

Advanced series in nonlinear dynamics ; ; 21

Disciplina

530.14/3

Soggetti

Coupled map lattices

Quantum field theory

Stochastic processes

String models

Chaotic behavior in systems

Statistical mechanics

Particles (Nuclear physics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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