Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-18
Class.Quant.Grav. 19 (2002) 3999-4028
Physics
High Energy Physics
High Energy Physics - Theory
v1: 30+1 pages, figures, v2: 34+1 pages, agruments straightened out
Scientific paper
10.1088/0264-9381/19/15/309
Using the recently proposed formalism for Lambda<0 quantum gravity in 2+1 dimensions we study the process of black hole production in a collision of two point particles. The creation probability for a BH with a simplest topology inside the horizon is given by the Liouville theory 4-point function projected on an intermediate state. We analyze in detail the semi-classical limit of small AdS curvatures, in which the probability is dominated by the exponential of the classical Liouville action. The probability is found to be exponentially small. We then argue that the total probability of creating a horizon given by the sum of probabilities of all possible internal topologies is of order unity, so that there is no exponential suppression of the total production rate.
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