Abstract
In this chapter we discuss how quantum gravitational and quantum mechanical effects can affect black holes. In particular, we discuss how Planckian quantum black holes enable us to probe quantum gravitational physics either directly if the Planck scale is low enough or indirectly if we integrate out quantum black holes from our low energy effective action. We discuss how quantum black holes can resolve the information paradox of black holes and explain that quantum black holes lead to one of the few hard facts we have so far about quantum gravity, namely the existence of a minimal length in nature.
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Notes
- 1.
In this section, we set \(\hbar =1\), \(c=1\) and \(G_N=1\).
- 2.
Note that in [83], it was argued that one could identify the \(\sigma \)-meson as the pole of a resummed scattering amplitude in the large \(N\) limit of chiral perturbation theory. This resummed amplitude is an example of self-healing in chiral perturbation theory. In low energy QCD, the position of the pole does correspond to the correct value of the mass and width of the \(\sigma \)-meson.
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Acknowledgments
This work is supported in part by the European Cooperation in Science and Technology (COST) action MP0905 “Black Holes in a Violent Universe” and by the Science and Technology Facilities Council (grant number ST/L000504/1).
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Calmet, X. (2015). Fundamental Physics with Black Holes. In: Calmet, X. (eds) Quantum Aspects of Black Holes. Fundamental Theories of Physics, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-319-10852-0_1
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