The Birman-Schwinger operator for the Cornell Hamiltonian

TL;DR

This paper provides a rigorous mathematical analysis of the Cornell potential to better understand quark confinement in Quantum Chromodynamics, contributing to the theoretical foundation of strong interaction physics.

Contribution

It introduces a novel mathematical framework for analyzing the Cornell potential, advancing the theoretical understanding of quark confinement in QCD.

Findings

Mathematically characterizes the Cornell potential

Provides insights into quark confinement mechanisms

Establishes a rigorous foundation for future studies

Abstract

Quantum Chromodynamics is the theory of strong interactions. It has been shown during the last decades that it describes correctly most of the properties of hadrons at high energy. The most distinctive feature of the theory is the realisation that the elementary particles which composed the known forms of matter, that is to say quarks and gluons, cannot be observed at low energy. In this work we are addressing this specific feature, known as confinement, by performing a rigorous mathematical treatment of the Cornell potential