We reformulate two-dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincaré group. A nonminimal 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.

String inspired gravity with interacting point particles / D. BAK; D. SEMINARA. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 53(1996), pp. 1907-1916. [10.1103/PhysRevD.53.1907]

String inspired gravity with interacting point particles

SEMINARA, DOMENICO
1996

Abstract

We reformulate two-dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincaré group. A nonminimal 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.
53
1907
1916
D. BAK; D. SEMINARA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/223013
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