Snyder-Yang algebra and confinement of color particles

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.