1 research outputs found
The Two-Dimensional Stringy Black-Hole: A New Approach and a Pathology
The string propagation in the two-dimensional stringy black-hole is
investigated from a new approach. We completely solve the classical and quantum
string dynamics in the lorentzian and euclidean regimes. In the lorentzian case
all the physics reduces to a massless scalar particle described by a
Klein-Gordon type equation with a singular effective potential. The scattering
matrix is found and it reproduces the results obtained by coset CFT techniques.
It factorizes into two pieces : an elastic coulombian amplitude and an
absorption part. In both parts, an infinite sequence of imaginary poles in the
energy appear. The generic features of string propagation in curved
D-dimensional backgrounds (string stretching, fall into spacetime
singularities) are analyzed in the present case. A new physical phenomenon
specific to the present black-hole is found : the quantum renormalization of
the speed of light. We find c_{quantum} = \sqrt{{k\o{k-2}}}~c_{classical},
where is the integer in front of the WZW action. This feature is, however,
a pathology. Only for the pathology disappears (although the
conformal anomaly is present). We analyze all the classical euclidean string
solutions and exactly compute the quantum partition function. No critical
Hagedorn temperature appears here.Comment: 32 pages, uses phyzz