Deparametrization and path integral quantization of cosmological models / Claudio Simeone.

By:

Simeone, Claudio

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789812778376
9812778373

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Deparametrization and path integral quantization of cosmological models.DDC classification:

523.1 22

LOC classification:

QC178 .S56 2001eb

Online resources:

Click here to access online

Contents:

Ch. 1. Introduction -- ch. 2. The gravitational field as a constrained Hamiltonian system. 2.1. Momentum and Hamiltonian constraints. 2.2. Minisuperspaces as constrained systems. 2.3. Quantization -- ch. 3. Deparametrization and path integral quantization. 3.1. The identification of time. 3.2. Gauge-invariant action for a parametrized system. 3.3. Path integral. 3.4. Examples -- ch. 4. Homogeneous relativistic cosmologies. 4.1. Isotropic universes. 4.2. Anisotropic universes -- ch. 5. String cosmologies. 5.1. String theory on background fields. 5.2. String cosmological models. 5.3. Path integral quantization -- ch. 6. Canonical quantization. 6.1. Approximate solutions of the Wheeler-DeWitt equation. 6.2. Gauge fixation and Schrodinger equation for isotropic models. 6.3. The Taub universe. 6.4. String cosmologies -- ch. 7. Discussion.

Summary: 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. Both path integral and canonical formulations are studied for relativistic and string cosmologies; in particular, a complete chapter about low energy string cosmology is included. The required basic concepts (as for example the Hamiltonian formulation of General Relativity) are reviewed, so that the book can be of interest not only for a researcher but also for a student.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 133-135) and index.

Print version record.

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. Both path integral and canonical formulations are studied for relativistic and string cosmologies; in particular, a complete chapter about low energy string cosmology is included. The required basic concepts (as for example the Hamiltonian formulation of General Relativity) are reviewed, so that the book can be of interest not only for a researcher but also for a student.

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