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Relativistic quantum transport theory approach to multiparticle production

Carruthers, P. and Zachariasen, F. (1976) Relativistic quantum transport theory approach to multiparticle production. Physical Review D, 13 (4). pp. 950-960. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:CARprd76

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Abstract

The field-theoretic description of multiparticle production processes is cast in a form analogous to ordinary transport theory. Inclusive differential cross sections are shown to be given by integrals of covariant phasespace distributions. The single-particle distribution function F(p, R) is defined as the Fourier transform of a suitable correlation function in analogy with the nonrelativistic (Wigner) phase-space distribution function. Its transform F(p, q) is observed to be essentially the discontinuity of a multiparticle scattering amplitude. External-field problems are studied to exhibit the physical content of the formalism. When q=0 one recovers the single-particle distribution exactly. The equation of motion for F(p, R) generates an infinite hierarchy of coupled equations for various distribution functions. In the Hartree approximation one obtains nonlinear integral equations analogous to the Vlasov equation in plasma physics. Such equations are convenient for exhibiting collective motions; in particular it appears that a collective mode exists in a φ^4 theory for a uniform infinite medium. It is speculated that such collective modes could provide a theoretical basis for clustering effects in multiparticle production.


Item Type:Article
Additional Information:©1976 The American Physical Society Received 29 September 1975 Research performed under the auspices of the U. S. Energy Research and Development Administration. Work supported in part by the Energy Research and Development Administration under Contract No. AT (11-1)-68 for the San Francisco Operations Office.
Record Number:CaltechAUTHORS:CARprd76
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CARprd76
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.13.950
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2920
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 May 2006
Last Modified:26 Dec 2012 08:51

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