Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone

• Autore: Simeone Claudio
• Pubblicazione: Singapore ; ; River Edge, NJ, : World Scientific, c2001
• Descrizione fisica: 1 online resource (152 p.)
• Disciplina: 523.1
• Soggetto topico: Quantum gravity; Space and time; Path integrals; Gauge invariance; Hamiltonian systems
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization ; 2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time ; 3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples ; 3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom ; 4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies ; 5.1 String theory on background fields
• Sommario/riassunto: The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume that a subset of the variables describing the state of the universe can be a clock for the remaining of the system. Following this line, in this book a new proposal consisting in the previous identification of time by means of gauge fixation is applied to the quantization of homogeneous cosmological models.
• Titolo autorizzato: Deparametrization and path integral quantization of cosmological models
• ISBN: 981-277-837-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910818619903321
• Lo trovi qui: Univ. Federico II
• Serie: World Scientific lecture notes in physics ; ; v. 69.