Quantum mechanics of extended objects in relativistic field theory
- 15 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 12 (10), 3126-3144
- https://doi.org/10.1103/physrevd.12.3126
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.Keywords
This publication has 39 references indexed in Scilit:
- Quantum expansion of soliton solutionsPhysical Review D, 1975
- Canonical quantization of nonlinear wavesPhysical Review D, 1975
- Quark bags and local field theory. II. Confinement of Fermi and vector fieldsPhysical Review D, 1975
- Quark imprisonment and vacuum repulsionPhysical Review D, 1975
- Vortices and quark confinement in non-abelian gauge theoriesPhysics Letters B, 1975
- Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methodsPhysical Review D, 1974
- Higgs mechanism and quark confinementPhysical Review D, 1974
- Quark "bags" and local field theoryPhysical Review D, 1974
- Vortex-Line Models for Dual Strings and Magnetic MonopolesProgress of Theoretical Physics, 1974
- The soliton: A new concept in applied scienceProceedings of the IEEE, 1973