Quantum mechanics of extended objects in relativistic field theory

Abstract

We study canonical quantization of certain solutions of nonlinear classical field theories known as extended objects. These solutions are characterized by an energy density confined in a finite region of space for all time. We formulate a quantum theory in terms of the normal modes of oscillation about a static solution and the couplings among these modes. A Feynman diagram prescription is given for calculating Green's functions of the fields in the presence of an extended object. We discuss the extension of the formalism to solutions exhibiting a steady rotation in some internal-symmetry space. Problems that may arise in applying the formalism to bag models for quark confinement are mentioned.