A first course in loop quantum gravity

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A first course in loop quantum gravity / Rodolfo Gambini and Jorge Pullin

資料種別:

図書

出版情報:

Oxford : Oxford University Press, 2011

形態:

viii, 183 p. ; 26 cm

著者名:

ISBN:

9780199590759 [0199590753]

書誌ID:

BB07001556

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Quantum gravity

言語:

英語

目次情報:

Why quantize gravity? / 1：

Special relativity and electro-magnetism / 2：

Space and space-time / 2.1：

Relativistic mechanics / 2.2：

Maxwell theory / 2.3：

Some elements of general relativity / 3：

Introduction / 3.1：

General coordinates and vectors / 3.2：

Curvature / 3.3：

The Einstein equations and some of their solutions / 3.4：

Diffeomorphisms / 3.5：

The 3 + 1 decomposition / 3.6：

Triads / 3.7：

Hamiltonian mechanics including constraints and fields / 4：

Usual mechanics in Hamiltonian form / 4.1：

Constraints / 4.2：

Field theories / 4.3：

Totally constrained systems / 4.4：

Yang-Mills theories / 5：

Kinematical arena and dynamics / 5.1：

Holonomies / 5.2：

Quantum mechanics and elements of quantum field theory / 6：

Quantization / 6.1：

Elements of quantum field theory / 6.2：

Interacting quantum field theories and divergences / 6.3：

Renormalizability / 6.4：

General relativity in terms of Ashtekar's new variables / 7：

Canonical gravity / 7.1：

Ashtekar's variables: classical theory / 7.2：

Coupling to matter / 7.3：

Loop representation for general relativity / 7.4：

The loop transform and spin networks / 8.1：

Geometric operators / 8.2：

The Hamiltonian constraint / 8.3：

An application: loop quantum cosmology / 9：

The classical theory / 9.1：

Traditional Wheeler-De Witt quantization / 9.2：

Loop quantum cosmology / 9.3：

Semiclassical theory / 9.4：

Further developments / 10：

Black hole entropy / 10.1：

The master constraint and uniform discretizations / 10.2：

Spin foams / 10.3：

Possible observational effects? / 10.4：

The problem of time / 10.5：

Open issues and controversies / 11：

References

Index

Why quantize gravity? / 1：

Special relativity and electro-magnetism / 2：

Space and space-time / 2.1：

Relativistic mechanics / 2.2：

Maxwell theory / 2.3：

Some elements of general relativity / 3：

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