TY - JOUR

T1 - A quantum S-matrix for two-dimensional black hole formation and evaporation

AU - Verlinde, Erik

AU - Verlinde, Herman

N1 - Funding Information:
We would like to thank T. Banks, C. Callan, S. Giddings, A. Jevicki, G. Moore, M. Porrati, K. Schoutens, S. Shatashvili, A. Strominger, L. Susskind, L. Thor-lacius, and E. Witten for helpful discussions. The research of H.V. is supported by NSF Grant PHY9O-2 1984. and that of E.V. by an Alfred P. Sloan Fellowship, the W.M. Keck Foundation, the Ambrose Monell Foundation, and NSF Grant PHY 91-06210.

PY - 1993/9/27

Y1 - 1993/9/27

N2 - We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to N massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a critical value of the dilaton field, we quantize the theory and define a quantum S-matrix for the case that N = 24. This S-matrix maps pure initial states to pure out-states and we further argue that in the semiclassical regime it describes the formation and subsequent Hawking evaporation of two-dimensional black holes. Finally, we note an interesting correspondence between the dilaton gravity S-matrix and that of the c = 1 matrix model.

AB - We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to N massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a critical value of the dilaton field, we quantize the theory and define a quantum S-matrix for the case that N = 24. This S-matrix maps pure initial states to pure out-states and we further argue that in the semiclassical regime it describes the formation and subsequent Hawking evaporation of two-dimensional black holes. Finally, we note an interesting correspondence between the dilaton gravity S-matrix and that of the c = 1 matrix model.

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U2 - 10.1016/0550-3213(93)90160-Q

DO - 10.1016/0550-3213(93)90160-Q

M3 - Article

AN - SCOPUS:0002768003

SN - 0550-3213

VL - 406

SP - 43

EP - 58

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -