Deconfinement Transition and Flux-String Models

TL;DR

This paper analyzes flux-string models for deconfinement transitions, focusing on Patel's models, their large N_c limits, and the validity of mean field results through quantum correction calculations.

Contribution

It investigates Patel's flux-string models, explores their behavior at large N_c, and assesses mean field theory validity via one-loop effective potential calculations.

Findings

Quantum corrections vanish at large N_c when baryonic vertex energy scales with N_c

Mean field theory results are supported at large N_c

Large N_c limit simplifies the model analysis

Abstract

Flux-string models can be used to study the deconfining phase transition. In this note, we study the models proposed by Patel. We also study the large N_c limits of Patel's model. To discuss the validity of the mean field theory results, the one-loop Coleman-Weinberg effective potential is calculated for N_c=3. We argue that the quantum corrections vanish at large N_c when the energy of the so-called baryonic vertices scale with N_c.