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Wormhole-Dominant Phase of the Double-Trace Matrix Model in Two-Dimensional Quantum Gravity

An analysis of how microscopic wormholes reshape two-dimensional quantum gravity, modeled by a Hermitian one-matrix model with a double-trace interaction. Students learn that at the critical double-trace coupling the wormhole-dominant continuum disk amplitude coincides with that of pure 2D gravity, and that a renormalized double-trace coupling effectively shifts the renormalized bulk cosmological constant.

Dr. Theopolis Text

Properties of the wormhole-dominant phase in two-dimensional quantum gravity

We study the $N \times N$ Hermitian one-matrix model modified by the double-trace interaction. It is known that the coupling for the double-trace interaction can control the weight for the microscopi…