Possible confinement mechanisms for nonrelativistic particles on a line

Abstract

The gauge model of nonrelativistic particles on a line interacting with nonstandard gravitational fields [5] is supplemented by the addition of a (non)-Abelian gauge interaction. Solving for the gauge fields we obtain equations, in closed form, for a classical two particle system. The corresponding Schrödinger equation, obtained by the Moyal quantization procedure, is solved analytically. Its solutions exhibit two different confinement mechanisms - dependent on the sign of the coupling $\lambda$ to the nonstandard gravitational fields. For $\lambda >0$ confinement is due to a rising potential whereas for $\lambda <0$ it is due to to the dynamical (geometric) bag formation. Numerical results for the corresponding energy spectra are given. For a particular relation between two coupling constants the model fits into the scheme of supersymmetrical quantum mechanics.

References in corpus (5)

• Quark-antiquark potential in the analytic approach to QCD
• From Screening to Confinement in a Gauge-Invariant Formalism
• General relativistic analog solutions for Yang-Mills theory
• Chern-Simons Particles with Nonstandard Gravitational Interaction
• A simple solution to color confinement

Cited by in corpus (1)

• Chern-Simons Particles with Nonstandard Gravitational Interaction