Energy States of Colored Particle in a Chromomagnetic Field

Details Energy States of Colored Particle in a Chromomagnetic Field Energy States of Colored Particle in a Chromomagnetic Field

2006-08-20

arxiv.org/abs/hep-th/0608142v2

Eur.Phys.J.C49:983-995,2007; Erratum-ibid.C52:765-765,2007

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, some calculation details have been removed, typos corrected

Scientific paper

10.1140/epjc/s10052-006-0173-7 1

The unitary transformation, which diagonalizes squared Dirac equation in a constant chromomagnetic field is found. Applying this transformation, we find the eigenfunctions of diagonalized Hamiltonian, that describe the states with definite value of energy and call them energy states. It is pointed out that, the energy states are determined by the color interaction term of the particle with the background chromofield and this term is responsible for the splitting of the energy spectrum. We construct supercharge operators for the diagonal Hamiltonian, that ensure the superpartner property of the energy states.

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