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図書
図書
1. Loops, knots, gauge theories and quantum gravity (: pbk)
Rodolfo Gambini, Jorge Pullin
出版情報: Cambridge [England] : Cambridge University Press, 2000  xvi, 321 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Holonomies and the group of loops / 1：
Loop coordinates and the extended group of loops / 2：
The loop representation / 3：
Maxwell theory / 4：
Yang-Mills theories / 5：
Lattice techniques / 6：
Quantum gravity / 7：
The loop representation of quantum theory / 8：
Loop representation: further developments / 9：
Knot theory and physical states of quantum gravity / 10：
The extended loop representation of quantum gravity / 11：
Conclusions: present status and outlook / 12：
References
Index
Holonomies and the group of loops / 1：
Loop coordinates and the extended group of loops / 2：
The loop representation / 3：
2.

図書
図書
2. A first course in loop quantum gravity
Rodolfo Gambini and Jorge Pullin
出版情報: Oxford : Oxford University Press, 2011  viii, 183 p. ; 26 cm
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目次情報: 続きを見る
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：
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