String-Inspired Gravity with Interacting Point Particles

Details String-Inspired Gravity with Interacting Point Particles String-Inspired Gravity with Interacting Point Particles

1995-07-24

arxiv.org/abs/hep-th/9507126v1

Phys.Rev.D53:1907-1916,1996

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures, Latex

Scientific paper

10.1103/PhysRevD.53.1907

We reformulate two dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincar\'e group. A non-minimal gauge coupling is necessary for the equivalence of the two descriptions. The classical one-particle problem is analyzed completely. In addition, we obtain the many-particle effective action after eliminating the gravity degrees of freedom. We investigate properties of this effective action, and show how to recover the geometrical description. Quantization of the gauge-theoretic model is carried out and the explicit one-particle solution is found. However, we show that the formulation leads to a quantum mechanical inconsistency in the two-particle case. Possible cures are discussed.

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