On solitons with half integral charge

It has been shown that in certain models there appear states with half integral expectation value of charge in the neighbourhood of certain solitons. It is believed that the states in question are eigenstates only of a 'charge' operator which is defined with some sophistication. The one-dimensional Dirac field theory is considered. It is found that certain soliton states, with half integral expectation value of charge, can be also eigenstates of charge X with half integral eigenvalue only with a somewhat sophisticated definition of charge. (K.A.)