Submissions from A. M. Todorov
 [1] faKiv:2002.07799 [pdf]

The existence of the HiggsDirac invariant in the presence of a scalar fieldComments: 12 pages, LaTeX, 1 figure, no figure; 11 pages, LaTeX, 1 figure, no figure; 10 pages, LaTeX, 1 figure, no figure; 9 pages, LaTeX, no figure
We study the existence of a scalar field in twodimensional HiggsDirac theory in the presence of a scalar field. We compute the topological quantum field theory of the Higgs field. The distribution of the scalar field implies the existence of a HiggsDirac invariant. The existence of the scalar field is shown to be in the phase of the Dirac field, as the scalar field is annihilated to the Dirac field by the Higgs field. The graph of the scalar field in the presence of the Higgs field is obtained. The existence of the scalar field in the phase of the Dirac field is shown to be in the phase of the HiggsDirac field. The existence of a HiggsDirac invariant is shown to be in the phase of the Dirac field, as the HiggsDirac field is annihilated to the Dirac field by the scalar field.