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

TL;DR

This paper investigates the quantum effects of gravity on the $CP^{N-1}$ model coupled with dilaton gravity, revealing how black hole configurations influence the coupling constants and gauge fields in the system.

Contribution

It provides a quantum analysis of the coupled dilaton gravity and $CP^{N-1}$ model, highlighting the impact of black hole backgrounds on the model's coupling constants.

Findings

Quantum effects alter the coupling constant of the $CP^{N-1}$ model.

Coupling constants of the induced gauge field vary near black hole configurations.

Gravity influences the confinement mechanism in the $CP^{N-1}$ model.

Abstract

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