Lattice study of solitons with half-integral fermionic charge in A(1+1)-dimensional field theoretical model

A (1+1)-dimensional field theoretical model of interacting Higgs fields, fermions and abelian gauge bosons with spontaneous symmetry breaking is studied on the lattice using the local hamiltonian Monte Carlo method. Solitons with half-integral fermionic charge are found in this model. The electromagnetic properties of the solitons are studied by gauging the global charge and by introducing an electric background field. The solitons become confined except for the background field value THETA=π/2. We introduce an expectation value [S] to measure the appearance of liberated fractionally charged solitons on the lattice. (orig.)