04924nam 2200757 a 450 991078509340332120230607221517.0981-277-823-3(CKB)1000000000411044(EBL)1679294(OCoLC)879023415(SSID)ssj0000249411(PQKBManifestationID)11192980(PQKBTitleCode)TC0000249411(PQKBWorkID)10223519(PQKB)11249569(MiAaPQ)EBC1679294(WSP)00004853(Au-PeEL)EBL1679294(CaPaEBR)ebr10201321(CaONFJC)MIL505452(EXLCZ)99100000000041104420020919d2002 uy 0engur|n|---|||||txtccrSpatio-temporal chaos and vacuum fluctuations of quantized fields[electronic resource] /Christian BeckNew Jersey World Scientificc20021 online resource (292 p.)Advanced series in nonlinear dynamics ;21Description based upon print version of record.981-02-4798-2 Includes bibliographical references (p. 253-266) and index.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 space1.5 * 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-theory2.3 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 string3.2 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 transitions4.2 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 relation5.1 Fluctuations of momenta and positions"This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--P. xiii.Advanced series in nonlinear dynamics ;v. 21.Coupled map latticesQuantum field theoryStochastic processesString modelsChaotic behavior in systemsStatistical mechanicsParticles (Nuclear physics)Coupled map lattices.Quantum field theory.Stochastic processes.String models.Chaotic behavior in systems.Statistical mechanics.Particles (Nuclear physics)530.14/3Beck Christian53432MiAaPQMiAaPQMiAaPQBOOK9910785093403321Spatio-temporal chaos and vacuum fluctuations of quantized fields3761263UNINA