CP^{N-1} models and the Quantized 2D Black Holes

Abstract

We have examined the coupled system of the dilaton gravity and the $C{P}^{N-1}$ 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 $C{P}^{N-1}$ model and how the coupling constant of dynamically induced gauge field changes near the black hole configuration.

12 pages, Latex

References in corpus (7)

• Evanescent Black Holes
• Gravitational Dressing of Renormalization Group
• Exactly Marginal Operators and Running Coupling Constants in 2D Gravity
• Physical Scaling and Renormalization Group in Two-Dimensional Gravity
• 2D Quantum Gravity Coupled to Renormalizable Matter Fields
• Gravitational Interactions of integrable models
• Quantized 2d Dilaton Gravity and Black Holes