Exactly Solvable Quantum Field Theory and Elementary Particle Physics

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I have carried out several researches on exactly solvable models in quantum field theory and many-body problems form the point of view of a physicist being engaged in the development of elementary partcle physics.This conforms to the one submitted before this proposal is granted. The subjects persued naturally fall into the categories 1) theoretical structure of exactly solvable models and 2) ther roles playd in elementary particle physics. The 1) includes the further persuit on thermodynamic Betheansatz (with T.Oota), the connection between the Painleve transcendent and the corner transfer matrix in the Ising correlation funcions (with K.Ito unpublished) and the calculation of Berry phase as well as fluctuations of string solutions in the XXZ spin chain with a varying twist. As for 2), I have done the analysis of the nonperturbative effects and that of the multicritical points of c=1 matrix model, using the so-called one-Plaquette hamiltonian (with Chaudhuri, Ooshita, and Koike.) I have also done the computation of two-loop amplitudes in minimal models coupled to gravity, using the two-matrix model (with Anazawa, Ishikawa.) We are extending this to N-loop amplitudes. These are parts of my series of works on matrix models beginning 1990.