Confinement and U(1,3) symmetry of color particles in a complex phase space

TL;DR

This paper proposes a universal confining potential for hadron constituents derived from U(1,3) symmetry in complex phase space, supported by spectroscopic and lattice QCD data, emphasizing its importance in nonperturbative QCD.

Contribution

It introduces a novel approach using U(1,3) symmetry to derive a confining potential for quarks, linking symmetry principles with hadron spectroscopy and lattice QCD results.

Findings

Parameters of the potential match experimental and lattice data.

U(1,3) symmetry is crucial for modeling nonperturbative QCD interactions.

The approach provides a unified framework for confinement in hadron physics.

Abstract

It is shown that a universal confining potential for hadron constituents can be obtained with the help of U(1,3) symmetry in a complex phase space. Parameters of this potential are determined on the basis of spectroscopic data for hadrons and results of lattice QCD calculations. We argue that the account of the U(1,3) symmetry is important for a description of strong interactions of quarks and gluons in a nonperturbative QCD domain at large interaction distances.