Lectures on Relativistic Physics in One Space and One Time Dimension [MatSciRep:59]

Abstract

These lectures cover certain aspects of two dimensional physics as a Start. They are by no means exhaustive and must be supplemented by the comprehensive treatment of Wightman's Cargese lecture notes 1964. One finds that these models are already solved are trivial, in that, there is no scattering theory. The exception to this is the Federbush Model, but here the cross sections are energy independent. The mathematical structure of the class of models solved here have a certain intrinsic interest in themselves. The structure is within the Wightman framework upto questions of positive definiteness. It is expected to gain a certain proficiency in field theory, a knowledge of phenomena hidden or obscured by perturbation theory, that would be helpful in realistic cases. The final reason is subjective: the theories are there and can be solved exactly, so do them. In particular, Trivial Lorentz and Poincare groups are fairly covered and then classified the relevant free fields in terms of scalar fields, then the Present models are considered. Details and proofs are often omitted.