Dynamically parametrized quantization of local operators in the bag model. [light core commutators, singularities]
We argue that the quantization of Chodos, Jaffe, Johnson, Thorn, and Weisskopf (CJJTW) of the bag model in two dimensions is inappropriate for considerations of locality and we present a new quantization in which the parametrization is fixed by positivity. The CJJTW operator algebra is obtained as a subalgebra of an extended system. A boundary regularization procedure is introduced and a local phi (x) operator having cutoff-independent matrix elements is defined. Boundary fluctuation effects are finite. We calculate an example of bag scattering in an external field and show that the crossed-channel bag-pair production and annihilation amplitudes contain only those singularities associated with bag fission. Nontrivial light-cone commutators are calculated. (AIP)
- Research Organization:
- Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853
- OSTI ID:
- 7178638
- Journal Information:
- Phys. Rev., D; (United States), Vol. 14:4
- Country of Publication:
- United States
- Language:
- English
Similar Records
Quantum fluctuations and the bag model
Dirac constraint quantization of a parametrized field theory by anomaly-free operator representations of spacetime diffeomorphisms
Related Subjects
BAG MODEL
QUANTUM OPERATORS
PAIR PRODUCTION
PARTICLE INTERACTIONS
ANNIHILATION
BOUNDARY CONDITIONS
COMMUTATION RELATIONS
LIGHT CONE
MATHEMATICAL OPERATORS
RENORMALIZATION
SCALAR FIELDS
TWO-DIMENSIONAL CALCULATIONS
BASIC INTERACTIONS
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
EXTENDED PARTICLE MODEL
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SPACE-TIME
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory