Applications in Physics

Abstract

In this book we tried to explain a new approach to superanalysis. We hope that this approach will be widely used in applications to physics (especially in quantum field theory, quantum string theory, theory of gravitation), the more so as the majority of physicists have intuitively used functional rather than algebraic approach to superanalysis. Speaking about a superspace, physicists usually mean a set of points endowed with a superstructure and not a ringed space. The language of structural bundles is marvellous, but it is too powerful a tool for studying such a simple structure as superanalysis. In any event, studying the works by Salam, Strathdee, Wess, Zumino, Schwinger’s pioneer work, I have realized that in these works the functional approach to superanalysis was used at the physical level of strictness.