Classical and Quantum Analysis of Repulsive Singularities in Four Dimensional Extended Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, 14 figures

Scientific paper

10.1088/0264-9381/16/7/306

Non--minimal repulsive singularities (``repulsons'') in extended supergravity theories are investigated. The short distance antigravity properties of the repulsons are tested at the classical and the quantum level by a scalar test--particle. Using a partial wave expansion it is shown that the particle gets totally reflected at the origin. A high frequency incoming particle undergoes a phase shift of $\frac{\pi}{2}$. However, the phase shift for a low--frequency particle depends upon the physical data of the repulson. The curvature singularity at a finite distance $r_h$ turns out to be transparent for the scalar test--particle and the coordinate singularity at the origin serves as a repulsive barrier at which particles bounce off.

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