Lorentz-covariant quantization of nonlinear waves

Journal Article · Sat Nov 15 04:00:00 EST 1975 · Phys. Rev., D, v. 12, no. 10, pp. 3112-3125

DOI:https://doi.org/10.1103/PhysRevD.12.3112· OSTI ID:4079643

Klein, A; Krejs, F

The quantum theory of a real scalar field in one space dimension with quartic coupling is studied as an example of a field theory possessing exact classical solutions representing extended distributions of energy and momentum. It is shown how formal canonical quantization can be implemented in practice to obtain self-consistent, Lorentz-covariant descriptions of restricted portions of Hilbert space. This is done by deriving dynamical and kinematical sum rules from the equations of motion and commutation relations, respectively. These sum rules are shown to have a variational basis, which guarantees the consistency of the approach. Overall, we derive Lorentz-covariant generalizations of results found previously by Goldstone and Jackiw by using the same approach, as well as some new results. (AIP)

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021907
• OSTI ID: 4079643
• Journal Information: Phys. Rev., D, v. 12, no. 10, pp. 3112-3125, Journal Name: Phys. Rev., D, v. 12, no. 10, pp. 3112-3125; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*QUANTUM FIELD THEORY-- SCALAR FIELDS
641300*
COMMUTATION RELATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
HILBERT SPACE
N76200* --Physics (Theoretical)--Quantum Field Theories
ONE-DIMENSIONAL CALCULATIONS
SUM RULES