Snyder-Yang algebra and confinement of color particles

TL;DR

This paper proposes a confinement model for color particles based on Snyder-Yang algebra, introducing non-commutative geometry and an oscillator potential to simulate confinement, with parameters estimated for quarks.

Contribution

It introduces a novel confinement model using Snyder-Yang algebra and extended kinematical invariance in quantum phase space.

Findings

Oscillator rising potential simulates confinement

Parameters of quarks are estimated within the model

Model provides a new algebraic approach to color confinement

Abstract

A model of color particle confinement is considered. The model is based on the Snyder-Yang algebra, which takes into account a non-commutativity of generalized momenta and coordinates of a color particle and contains two new constants. An extended kinematical invariance in a quantum phase space of a color particle gives rise to an invariant equation with an oscillator rising potential. The presence of the oscillator rising potential can simulate a confinement of a color particle. Mass and lenght parameters involved in the Snyder-Yang commutation relations along with parameters of current and constituent quarks are estimated.