Energy states of colored particle in a chromomagnetic field
Abstract
The unitary transformation which diagonalizes the squared Dirac equation in a constant chromomagnetic field is found. Applying this transformation, we find the eigenfunctions of the diagonalized Hamiltonian, that describes the states with a definite value of energy, and we 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.
 Publication:

European Physical Journal C
 Pub Date:
 March 2007
 DOI:
 10.1140/epjc/s1005200601737
 arXiv:
 arXiv:hepth/0608142
 Bibcode:
 2007EPJC...49..983M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 25 pages, some calculation details have been removed, typos corrected