Kiefer C. Quantum gravity

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PRIMORDIAL BLACK HOLES 241 Table 7.2 Constraints on the mass fraction α(M) ≡ ρPBH,M ρ r ≈ Ω PBH,M of primordial black holes at their time of formation (Green and Liddle 1997) Constraint Range Reason 1. α
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INTERNATIONAL SERIES OF MONOGRAPHS
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Quantum Gravity Second Edition CLAU
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PREFACE TO THE SECOND EDITION The c
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PREFACE The unification of quantum
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CONTENTS 1 Why quantum gravity? 1 1
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CONTENTS xi 7.4.3 Quantization 226
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1 WHY QUANTUM GRAVITY? 1.1 Quantum
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QUANTUM THEORY AND THE GRAVITATIONA
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PROBLEMS OF A FUNDAMENTALLY SEMICLA
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APPROACHES TO QUANTUM GRAVITY 23 is
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2 COVARIANT APPROACHES TO QUANTUM G
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THE CONCEPT OF A GRAVITON 27 two in
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THE CONCEPT OF A GRAVITON 29 Exploi
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THE CONCEPT OF A GRAVITON 31 of the
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THE CONCEPT OF A GRAVITON 33 only t
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THE CONCEPT OF A GRAVITON 35 ¬ Þ
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THE CONCEPT OF A GRAVITON 37 where
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PATH-INTEGRAL QUANTIZATION 39 state
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PATH-INTEGRAL QUANTIZATION 41 canon
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PATH-INTEGRAL QUANTIZATION 43 inter
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PATH-INTEGRAL QUANTIZATION 45 quant
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PATH-INTEGRAL QUANTIZATION 47 R 3 a
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PATH-INTEGRAL QUANTIZATION 49 Perfo
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PATH-INTEGRAL QUANTIZATION 51 £
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PATH-INTEGRAL QUANTIZATION 53 Ven (
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PATH-INTEGRAL QUANTIZATION 55 forma
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PATH-INTEGRAL QUANTIZATION 57 Unfor
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PATH-INTEGRAL QUANTIZATION 59 F =
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PATH-INTEGRAL QUANTIZATION 61 and c
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PATH-INTEGRAL QUANTIZATION 63 first
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PATH-INTEGRAL QUANTIZATION 65 is ob
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PATH-INTEGRAL QUANTIZATION 67 t+1 t
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PATH-INTEGRAL QUANTIZATION 69 For t
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QUANTUM SUPERGRAVITY 71 quantum fie
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3 PARAMETRIZED AND RELATIONAL SYSTE
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PARTICLE SYSTEMS 75 can be set to z
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and are compatible with the time ev
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where here PARTICLE SYSTEMS 79 H S
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THE FREE BOSONIC STRING 81 render t
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THE FREE BOSONIC STRING 83 and Ĥ 1
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THE FREE BOSONIC STRING 85 In the s
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PARAMETRIZED FIELD THEORIES 87 with
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PARAMETRIZED FIELD THEORIES 89 Ü
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PARAMETRIZED FIELD THEORIES 91 spac
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RELATIONAL DYNAMICAL SYSTEMS 93 X x
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RELATIONAL DYNAMICAL SYSTEMS 95 whe
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RELATIONAL DYNAMICAL SYSTEMS 97 Thi
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THE SEVENTH ROUTE TO GEOMETRODYNAMI
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THE 3+1 DECOMPOSITION OF GENERAL RE
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CANONICAL GRAVITY WITH CONNECTIONS
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5 QUANTUM GEOMETRODYNAMICS 5.1 The
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THE PROGRAMME OF CANONICAL QUANTIZA
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THE PROBLEM OF TIME 137 parameter (
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THE PROBLEM OF TIME 139 One can der
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THE PROBLEM OF TIME 141 The main pr
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THE PROBLEM OF TIME 143 ∫ ∏ 〈
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THE GEOMETRODYNAMICAL WAVE FUNCTION
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THE SEMICLASSICAL APPROXIMATION 165
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6 QUANTUM GRAVITY WITH CONNECTIONS
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CONNECTION AND LOOP VARIABLES 183 h
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CONNECTION AND LOOP VARIABLES 185
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CONNECTION AND LOOP VARIABLES 187
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QUANTIZATION OF AREA 189 S and S
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∫ Ê i [S]U[A, α] =−8πβi QUA
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QUANTIZATION OF AREA 193 (and highe
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QUANTUM HAMILTONIAN CONSTRAINT 195
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Furthermore, one can show that QUAN
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7 QUANTIZATION OF BLACK HOLES 7.1 B
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BLACK-HOLE THERMODYNAMICS AND HAWKI
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CANONICAL QUANTIZATION OF THE SCHWA
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Page 454: CANONICAL QUANTIZATION OF THE SCHWA
Page 458: BLACK-HOLE SPECTROSCOPY AND ENTROPY
Page 462: BLACK-HOLE SPECTROSCOPY AND ENTROPY
Page 466: QUANTUM THEORY OF COLLAPSING DUST S
Page 482: THE LEMAîTRE-TOLMAN-BONDI MODEL 22
Page 498: THE INFORMATION-LOSS PROBLEM 237 bl
Page 502: PRIMORDIAL BLACK HOLES 239 time of
Page 508: 242 QUANTIZATION OF BLACK HOLES lg
Page 512: 244 QUANTUM COSMOLOGY concerns in p
Page 516: 246 QUANTUM COSMOLOGY 8.1.2 Quantiz
Page 520: 248 QUANTUM COSMOLOGY so one might
Page 524: 250 QUANTUM COSMOLOGY One recognize
Page 528: 252 QUANTUM COSMOLOGY Whereas in th
Page 532: 254 QUANTUM COSMOLOGY Fig. 8.2. Wav
Page 536: 256 QUANTUM COSMOLOGY ) (− ∂2
Page 540: 258 QUANTUM COSMOLOGY The second-or
Page 544: 260 QUANTUM COSMOLOGY waves and are
Page 548: 262 QUANTUM COSMOLOGY One could als
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266 QUANTUM COSMOLOGY Time t Imagin
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268 QUANTUM COSMOLOGY from the no-b
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270 QUANTUM COSMOLOGY between ψ T
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272 QUANTUM COSMOLOGY 8.3.5 Symmetr
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274 QUANTUM COSMOLOGY where in the
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276 QUANTUM COSMOLOGY holonomies in
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278 QUANTUM COSMOLOGY for recollaps
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280 STRING THEORY 4. All ‘particl
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282 STRING THEORY H = 1 2 ∞∑ n=
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284 STRING THEORY D − 2 = 24 degr
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286 STRING THEORY The full action i
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288 STRING THEORY divergences of qu
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290 STRING THEORY We have already e
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292 STRING THEORY √ X µ R (σ−
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294 STRING THEORY (and beyond) for
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296 STRING THEORY details. We start
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298 STRING THEORY There exist two d
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300 STRING THEORY hole can form if
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302 STRING THEORY the metric is fla
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304 STRING THEORY account. We shall
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306 STRING THEORY holographic princ
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308 INTERPRETATION 10.1.1 Decoheren
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310 INTERPRETATION the quantum enta
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312 INTERPRETATION The time t that
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314 INTERPRETATION D(t|φ, φ ′ )
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316 INTERPRETATION For a massive mi
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318 INTERPRETATION which are dynami
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320 INTERPRETATION Although most of
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322 INTERPRETATION the existence of
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324 INTERPRETATION classical turnin
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326 INTERPRETATION quantum-gravitat
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328 REFERENCES Ashtekar, A. and Lew
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330 REFERENCES Barvinsky, A. O., Ka
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332 REFERENCES Bojowald, M. (2001b)
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334 REFERENCES Csordás, A. and Gra
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336 REFERENCES pp. 458-73. Birkhäu
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338 REFERENCES Giulini, D. (2003).
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340 REFERENCES Hawking, S. W. (1976
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342 REFERENCES Iwasaki, Y. (1971).
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344 REFERENCES http://www.livingrev
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346 REFERENCES Loll, R., Westra, W.
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348 REFERENCES Núñez, D., Quevedo
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350 REFERENCES Rosenfeld, L. (1963)
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352 REFERENCES Teitelboim, C. (1980
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354 REFERENCES Press, Cambridge. We
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358 INDEX reduced, 309 deparametriz
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360 INDEX experimental tests, 325 i
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