Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time

TL;DR

This paper investigates how fermions can be confined in 1+1 dimensions using a linear potential with mixed vector and scalar couplings, providing analytical solutions under certain conditions.

Contribution

It introduces a method to confine fermions with mixed vector-scalar potentials in 1+1 dimensions and derives analytical bound-state solutions.

Findings

Bound states exist when scalar coupling exceeds a certain threshold.

Analytical solutions are obtained for specific coupling regimes.

The approach enhances understanding of fermion confinement mechanisms.

Abstract

The problem of confinement of fermions in 1+1 dimensions is approached with a linear potential in the Dirac equation by considering a mixing of Lorentz vector and scalar couplings. Analytical bound-states solutions are obtained when the scalar coupling is of sufficient intensity compared to the vector coupling.