Supersymmetry

Supersymmetry: Basics and Concepts provides an overall survey of supersymmetry from a unified and up-to-date viewpoint. The author's approach reflects the free logic that characterizes present day research rather than fact-bound induction. Main topics include: simple systems with supersymmetry taken from particle mechanics, the classical limit of supersymmetric quantum mechanics, the double cover of the Lorentz group and other group theoretical matters, and a representative sample process involving supersymmetric lepton-photon interactions.

Introduction. Spin Magnetism of Electron. Spin Contribution to the Hamiltonian. Anticommuting Grassmann
Numbers. Pseudoclassical Description of Spin. Generalized Poisson Brackets. Derivation of the Electron's g-Factor. A Glimpse of Supersymmetry. Supersymmetric Point Charge. Supersymmetric Harmonic Oscillator. Supersymmetric Classical Mechanics. Spinor Notation and Algebra. Superspace. Scalar and Vector Superfields. Scalar Dynamics in Superspace. Supersymmetric Quantum Electrodynamics. Sample Calculation of a Tree Diagram. Rotating Charged Sphere Model. Solution of Classical Spin Precession. Basic Facts on Grassmann's Algebra. Grassmann Differentiation and Integration. Supermanifolds and other Definition. Supersymmetry Algebra. Spinors in Arbitrary Dimensions.