CPN-1 models and the Quantized 2D Black Holes

Abstract

We have examined the coupled system of the dilaton gravity and the CPN-1 theory known as a model of the confinement of massive scalar quarks. After the quantization of the system, we could see the quantum effect of the gravitation on the coupling constant of CPN-1 model and how the coupling constant of dynamically induced gauge field changes near the black hole configuration.

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