Quantum mechanics of the relativistic spinning particle

Abstract

Using fermion coherent state methods the authors quantise the world line supersymmetric action for a point particle of spin 1/2. They show that the results of the Feynman path integral for this action is the Dirac propagator in a coherent state basis. They also discuss ambiguities in the definition of the path-integral measure, give details of the superspace geometry of the spinning particle action and show how Majorana spacetime fermions are related to the real quantum mechanics of the spinning particle.