Quantum Mechanics of Extended Objects in Relativistic Field Theory

Creutz, Michael

doi:10.1103/PhysRevD.12.3126

Quantum Mechanics of Extended Objects in Relativistic Field Theory

Michael Creutz
(
- Brookhaven
)

Jun, 1975

61 pages

Published in:

Phys.Rev.D 12 (1975) 3126

DOI:

10.1103/PhysRevD.12.3126

Report number:

BNL-20121

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Abstract: (APS)

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.

FIELD THEORY
MODEL: EXTENDED PARTICLE
QUANTUM MECHANICS
FEYNMAN GRAPH
SYMMETRY: INTERNAL
QUARK: CONFINEMENT
MODEL: BAG
ENERGY LEVELS: DENSITY
APPROXIMATION: WKB approximation
QUANTUM ELECTRODYNAMICS: COHERENT STATE

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