Nuclear Seminar

Correct quantum Hamiltonians of a few exactly solvable models in D=2 are derived by incorporating operator solutions of the field equations to the canonical formalism. In this way, the space-like and light front Hamiltonians of the derivative-coupling models acquire a similar form. The same is true for the massive solvable theory, the Federbush model. In the conventional treatment, physical predictions in the two schemes disagree. Also, the derivative-coupling model is found to be almost identical to a free theory in both schemes. The physical vacuum state of the Thirring model is then obtained by a Bogoliubov transformation in the form of a coherent state quadratic in composite boson operators. To perform the same task in the Federbush model, we derive a massive version of Klaiber's current bosonization and show that its light front version is considerably simpler.