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Quantum Hair on Black Holes

Coleman, Sidney and Preskill, John and Wilczek, Frank (1992) Quantum Hair on Black Holes. Nuclear Physics B, 378 (1-2). pp. 175-246. ISSN 0550-3213. doi:10.1016/0550-3213(92)90008-Y.

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A black hole may carry quantum numbers that are not associated with massless gauge fields, contrary to the spirit of the “no-hair” theorems. We describe in detail two different types of black-hole hair that decay exponentially at long range. The first type is associated with discrete gauge charge and the screening is due to the Higgs mechanism. The second type is associated with color magnetic charge, and the screening is due to color confinement. In both cases, we perform semiclassical calculations of the effect of the hair on local observables outside the horizon, and on black-hole thermodynamics. These effects are generated by virtual cosmic strings, or virtual electric flux tubes, that sweep around the event horizon. The effects of discrete gauge charge are nonperturbative in ħ, but the effects of color magnetic charge become ħ-independent in a suitable limit. We present an alternative treatment of discrete gauge charge using dual variables, and examine the possibility of black-hole hair associated with discrete global symmetry. We draw the distinction between primary hair, which endows a black hole with new quantum numbers, and secondary hair, which does not, and we point out some varieties of secondary hair that occur in the standard model of particle physics.

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Additional Information:© 1992 Elsevier. Received 20 January 1992. Accepted for publication 26 March 1992. Available online 18 October 2002. Research supported in part by NSF grant PHY-87-14654. Research supported in part by DOE grant DE-AC03-81-ER40050. Research supported in part by DOE grant DE-FG02-90ER40542. We gratefully acknowledge helpful discussions with Mark Alford, Martin Bucher, Gary Gibbons, Stephen Hawking, Lawrence Krauss, John March-Russell, Alex Ridgway, Andy Strominger, Kip Thorne, Alex Vilenkin, and Edward Witten.
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Department of Energy (DOE)DE-AC03-81-ER40050
Department of Energy (DOE)DE-FG02-90ER40542
Issue or Number:1-2
Record Number:CaltechAUTHORS:20120314-134754496
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Official Citation:Sidney Coleman, John Preskill, Frank Wilczek, Quantum hair on black holes, Nuclear Physics B, Volume 378, Issues 1–2, 6 July 1992, Pages 175-246, ISSN 0550-3213, 10.1016/0550-3213(92)90008-Y.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29722
Deposited By: Tony Diaz
Deposited On:28 Mar 2012 18:56
Last Modified:09 Nov 2021 19:28

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