Nuclear Seminar

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Date/Time:Friday, 20 May 2011 from 4:10 pm to 5:10 pm
Location:Room 19 Physics Building
Contact:Prof. James Vary
Phone:515-294-8894
Channel:College of Liberal Arts and Sciences
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"Hamiltonians and Physical Vacua of Exactly Solvable Models", Prof. Lubomir Martinovic, Bogoliubov Laboratory of Theoretical Physics JINR Dubna, Russia and Institute of Physics SAS, Bratislava, Slovakia

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.