Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity

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概要

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• We study the simplicial quantum gravity in three dimensions. Motivated by Boulatov's model which generates a sum over simplicial complexes weighted with the Turaev-Viro invariant, we introduce boundary operators in the simplicial gravity associated to compact orientable surfaces. An amplitude of the boundary operator is given by a sum over triangulations in the interior of the boundary surface. It turns out that the amplitude solves the Schwinger-Dyson equation even if we restrict the topology in the interior of the surface, as far as the surface is no-degenerate. We propose a set of factorization conditions on the amplitudes which singles out a solution associated to triangulations of S^3.

• 理論物理学刊行会の論文
• 1993-01-25

著者

• Ooguri Hirosi

  Research Institute For Mathematical Sciences Kyoto University

• Ooguri Hirosi

  Research Institute For Mathematical Sciences Kyoto University:lyman Laboratory Of Physics Harvard Un

関連論文

• Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge
• Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity

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