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- W2040605145 abstract "Transition amplitudes for space-time evolution without topology change are studied in 2+1 dimensional pure gravity. The space is assumed to be a compact Riemann surface. Our analysis will be a first step for the analysis of topology change and third quantization in space-time. The torus case is detailed. It is shown that, in this case, the dynamical structure of 2+1 dimensional gravity is essentially identical to that of a massless relativistic point particle and a transition is admitted to occur from the initial state to the final states if and only if they are connected by the classical solution. This property of the transition amplitude is consistent with that obtained in the vierbein formalism and coincide with that of a massless relativistic point particle, though our theory involves some adhoc assumptions." @default.
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- W2040605145 date "1990-09-01" @default.
- W2040605145 modified "2023-10-02" @default.
- W2040605145 title "Transition Amplitudes in 2+1 Dimensional Quantum Gravity" @default.
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- W2040605145 doi "https://doi.org/10.1143/ptp/84.3.540" @default.
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