Abstract
This chapter presents the motivations to quantize gravity and gives a brief introduction into the main approches.
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- AdS:
-
anti-de Sitter
- BICEP:
-
background imaging of cosmic extragalactic polarization
- CFT:
-
conformal field theory
- CMB:
-
cosmic microwave background
- COW:
-
Colella, Overhauser, and Werner
- GPS:
-
global positioning system
- GR:
-
general relativity
- LHC:
-
large hadron collider
- QCD:
-
quantum chromodynamics
- QED:
-
quantum electrodynamics
- SUGRA:
-
supergravity
- WKB:
-
Wentzel–Kramers–Brillouin
References
C. Kiefer: Quantum Gravity, 3rd edn. (Oxford Univ. Press, Oxford 2012)
S.W. Hawking, R. Penrose: The Nature of Space and Time (Princeton Univ. Press, Princeton 1996)
H. Nicolai: Quantum Gravity: The view from particle physics, arXiv:1301.5481v1 [gr-qc] (2013)
S. Carlip: Quantum gravity; A progress report, Rep. Prog. Phys. 64, 885–942 (2001)
G. Esposito: An introduction to quantum gravity, arXiv: 1108.3269v1 [hep-th](2011)
R.P. Woodard: How far are we from the quantum theory of gravity?, Rep. Prog. Phys. 72, 126002 (2009)
D. Oriti (Ed.): Approaches to Quantum Gravity (Cambridge Univ. Press, Cambridge 2009)
G. Calcagni, L. Papantonopoulos, G. Siopsis, N. Tsamis (Eds.): Quantum Gravity and Quantum Cosmology, Lecture Notes in Physics, Vol. 863 (Springer, Berlin, Heidelberg 2013)
M. Zych, F. Costa, I. Pikovski, T.C. Ralph, C. Brukner: General relativistic effects in quantum interference of photons, Class. Quantum Gravity 29, 224010 (2012)
H.D. Zeh: The Physical Basis of the Direction of Time, 5th edn. (Springer, Berlin, Heidelberg 2007)
BICEP2 collaboration: Detection of B-mode polarization at degree angularscales, arXiv:1403.3985v2 [astro-ph.CO] (2014)
H. Hamber: Quantum Gravitation: The Feynman Path Integral Approach (Springer, Berlin, Heidelberg 2009)
N.E.J. Bjerrum-Bohr, J.F. Donoghue, B.R. Holstein: Quantum gravitational corrections to the nonrelativisticscattering potential of two masses, Phys. Rev. D 67, 084033 (2003)
T.P. Sotiriou: Hořava–Lifshitz gravity: a status report, J. Phys. Conf. Ser. 283, 012034 (2011)
M. Reuter, F. Saueressig: Asymptotic Safety, Fractals, and Cosmology,arXiv:1205.5431v1 [hep-th] (2012)
Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson, R. Roiban: Amplitudes and ultraviolet behavior of N = 8 supergravity, Fortschr. Phys. 59, 561–578 (2011)
J. Barbour, B. Z. Foster: Constraints and gauge transformations: Dirac’s theorem is not always valid, arXiv:0808.1223v1 [gr-qc] (2008)
B.S. DeWitt: Quantum theory of gravity. I. The canonical theory, Phys. Rev. 160, 1113–1148 (1967)
J.A. Wheeler: Superspace and the nature of quantum geometrodynamcis. In: Battelle Rencontres, ed. by C.M. DeWitt, J.A. Wheeler (Benjamin, New York 1968) pp. 242–307
C. Kiefer: Does time exist in quantum gravity? Second prize essay of the Foundational Questions Institute essay contest on the nature of time, arXiv:0909.3767v1 [gr-qc] (2009)
H.W. Hamber, R. Toriumi, R.M. Williams: Wheeler–DeWitt Equation in Dimensions, arXiv:1212.3492 [hep-th] (2012)
D. Bini, G. Esposito, C. Kiefer, M. Krämer, F. Pessina: On the modification of the cosmic microwave background anisotropy spectrum from canonical quantum gravity, Phys. Rev. D 87, 104008 (2013)
G. Calcagni: Observational effects from quantum cosmology, Ann. Phys. 525, 323 (2013)
J.F.G. Barbero, E.J. Villaseñor: Quantization of midisuperspace models, Living Rev. Relativ. 13, 6 (2010)
J.J. Halliwell: Introductory lectures on quantum cosmology. In: Quantum Cosmology and Baby Universes, ed. by S. Coleman, J.B. Hartle, T. Piran, S. Weinberg (World Scientific, Singapore 1991) pp. 159–243
E. Joos, H.D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, I.-O. Stamatescu: Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd edn. (Springer, Berlin, Heidelberg 2003)
P.V. Moniz: Quantum Cosmology: The Supersymmetric Perspective, Lecture Notes in Physics, Vol. 804 (Springer, Berlin, Heidelberg 2010)
C. Rovelli: Quantum Gravity (Cambridge Univ. Press, Cambridge 2007)
T. Thiemann: Modern Canonical Quantum General Relativity (Cambridge Univ. Press, Cambridge 2007)
A. Ashtekar, J. Lewandowski: Background independent quantum gravity: A status report, Class. Quantum Gravity 21, R53–152 (2004)
H. Nicolai, K. Peeters, M. Zamaklar: Loop quantum gravity: an outside view, Class. Quantum Gravity 22, R193–R247 (2005)
R. Gambini, J. Pullin: A first course in loop quantum gravity (Oxford Univ. Press, Oxford 2011)
C. Rovelli: Covariant Loop Gravity. In: Quantum Gravity and Quantum Cosmology, Lecture Notes in Physics, Vol. 863, ed. by G. Calcagni, L. Papantonopoulos, G. Siopsis, N. Tsamis (Springer, Berlin, Heidelberg 2013) pp. 57–66
M. Bojowald: Quantum cosmology, Lecture Notes in Physics, Vol. 835 (Springer, Berlin, Heidelberg 2011)
A. Ashtekar, P. Singh: Loop quantum cosmology: A status report, Class. Quantum Gravity 28, 213001 (2011)
M. Bojowald, C. Kiefer, P.V. Moniz: Quantum cosmology for the 21st century: A debate, arXiv:1005.2471v1 [gr-qc] (2010)
M.B. Green, J.H. Schwarz, E. Witten: Superstring Theory (Cambridge Univ. Press, Cambridge 1987), 2 Vols.
R. Blumenhagen, D. Lüst, S. Theisen: Basic Concepts of String Theory (Springer, Berlin, Heidelberg 2013)
Found Phys. (Special issue): Forty years of string theory: Reflecting on the foundations, 43(1) (2013)
J. Maldacena: The gauge/gravity duality, arXiv:1106.6073v1 [hep-th] (2011)
M. Blau, S. Theisen: String theory as a theory of quantum gravity: A status report, Gen. Relativ. Gravit. 41, 743–755 (2009)
G. Amelino-Camelia, J. Kowalski-Glikman (Eds.): Planck Scale Effects in Astrophysics and Cosmology, Lecture Notes in Physics, Vol. 669 (Springer, Berlin, Heidelberg 2005)
Class. Quantum Gravity (Special issue): Tests of the weak equivalence principle, 29(18) (2012)
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Kiefer, C. (2014). Quantum Gravity. In: Ashtekar, A., Petkov, V. (eds) Springer Handbook of Spacetime. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41992-8_33
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