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Dynamically parametrized quantization of local operators in the bag model

Dynamically parametrized quantization of local operators in the bag model 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 φ ( 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Dynamically parametrized quantization of local operators in the bag model

Shalloway, David
Physical Review D , Volume 14 (4) – Aug 15, 1976
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1976 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.14.1032
Publisher site
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Abstract

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 φ ( 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.

Journal

Physical Review D – American Physical Society (APS)

Published: Aug 15, 1976

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