Quarks, monopoles and dyons at large N

TL;DR

This paper investigates the screening behavior of external particles with various charges in large N=4 super Yang-Mills theory at finite temperature, revealing conditions for charge screening and properties of isolated particles.

Contribution

It provides a detailed analysis of charge screening phenomena and entropy behavior for particles like quarks, monopoles, and dyons in the large N limit at finite temperature.

Findings

Partial or complete screening occurs at high temperature.

Total electric or magnetic charge cannot be screened at zero temperature.

Entropy of isolated particles is temperature-independent.

Abstract

We study a system of external particles of various charges in N =4 super Yang-Mills in the large N limit at finite temperature. We demonstrate that at high enough temperature partial or complete screening of the particles can occur. At zero temperature the total electric or magnetic charge cannot be screened, while higher multipole moments of these charges can be screened. The specific case of a quark, a monopole and a dyon is worked out and the above properties are verified. We also discuss the free energy of isolated particles and show that their entropy is independent of the temperature.