Lectures on a modified model of Euclidean Quantum Field Theory[MatSciRep:35]

Abstract

These lectures were given by Professor K. Symanzik, Visiting Professor from Graduate School of Arts and Science, New York University, and for which the notes were prepared by K. Venkatesan and T.K. Radha. QED(Quantum ElectroDynamics) is a Lagrangian theory soluble by renormalized perturbation theory, which might yield an asymptotic series. The concept of renormalizability developed in perturbation theory has been of great interest. Clearly outside of purely axiomatic field theory, the study of any Lagrangian theory that is not exactly soluble, (and only theories with a trivial S-Matrix are soluble) without use of perturbation theory is most desirable. These investigations could be described as a mathematical study of problems in terms of an infinite system of coupled integral equations of a certain type suggested by Lagrangian Quantum Field Theory. The relation between the conventional (or) Minkowski Quantum Filed Theory and the present modified version of the Euclidean Quantum Field Theory has been represented in this Report.