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Black Hole Horizons and Bose-Einstein Condensation · Around

2016

Black Hole Horizons and Bose-Einstein Condensation

Ferrari, Frank

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Consider a particle sitting at a fixed position outside of a stable black hole.

If the system is heated up, the black hole horizon grows and there should exist a critical temperature above which the particle enters the black hole interior.
We solve a simple model describing exactly this situation: a large N matrix quantum mechanics modeling a fixed D-particle in a black hole background.
We show that indeed a striking phenomenon occurs: above some critical temperature, there is a non-perturbative Bose-Einstein condensation of massless strings.

Built on

É. Brézin, C. Itzykson, G. Parisi and J.B. Zuber, Comm. Math. Phys
1978
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G. Cuniberti, E. De Micheli, G.A. Viano, Comm. Math. Phys
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N. Iizuka, D. Kabat, G. Lifschytz and D.A. Lowe, Phys. Rev
2002
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J.M. Maldacena, J. High Energy Phys
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Earlier work this paper cites.

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V.E. Hubeny and M. Rangamani, Adv. High Energy Phys
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D. Harlow, Jerusalem Lectures on Black Holes and Quantum Information, arXiv:1409.1231
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F. Ferrari, More on Black Hole Horizons and Bose-Einstein Condensation, to appear
Cited in the paper.

Then

N. Iizuka, T. Okuda and J. Polchinski, J. High Energy Phys
Original
2010
Later among the works it cites.
F. Ferrari, Nucl. Phys
Original
2014
Later among the works it cites.
F. Ferrari, The Analytic Renormalization Group , CERN-TH-2016-nnn, arXiv:1602.nnnn, to appear
2016
Closest in time.

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