Abstract
It has been argued recently that string theory effects qualitatively modify the effective black hole geometry experienced by modes with radial momentum of order \(1/\sqrt{\alpha '}\). At tree level, these \({\alpha '}\) effects can be explicitly worked out in two-dimensional string theory and have a natural explanation in the T-dual description as coming from the integration of the zero mode of the linear dilaton, which yields a contribution that affects the scattering phase shift in a peculiar manner. It has also been argued that the phase-shift modification has its origin in a region of the moduli space that does not belong to the exterior black hole geometry, leading to the conclusion that at high energy the physics of the problem is better described by the dual model. Here, we elaborate on this argument. We consider the contribution of world-sheet instantons in the two-dimensional Euclidean black hole \(\sigma \)-model and study its influence on the phase shift at high energy.
Highlights
In the recent paper [1], it has been argued that string theory effects qualitatively modify the effective black hole geometry√experienced by modes with radial momentum of order 1/ α
In the FZZ dual model, the α effects studied in [1] have a natural explanation as coming from the integration over the zero mode of the linear dilaton, which yields a contribution that affects the scattering phase shift in a peculiar manner
The phaseshift modification they produce seem to come from a region of the moduli space that does not belong to the exterior black hole geometry
Summary
In the recent paper [1], it has been argued that string theory effects qualitatively modify the effective black hole geometry√experienced by modes with radial momentum of order 1/ α. In the FZZ dual model, the α effects studied in [1] have a natural explanation as coming from the integration over the zero mode of the linear dilaton, which yields a contribution that affects the scattering phase shift in a peculiar manner. Such contributions and, the phaseshift modification they produce seem to come from a region of the moduli space that does not belong to the exterior black hole geometry.
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