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Relativistic model field theory with finite self-masses

Zachariasen, F. (1961) Relativistic model field theory with finite self-masses. Physical Review, 121 (6). pp. 1851-1862. ISSN 0031-899X.

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A model field theory is invented in the following way: Dispersion relations in the energy are assumed to hold for all amplitudes. Unitarity gives the absorptive parts in the "physical" regions. If it is assumed that the absorptive parts are otherwise zero (in violation of crossing symmetry and the Mandelstam representation), then the dispersion relations and unitarity form an infinite set of coupled integral equations for all amplitudes. An exact solution (at least for the simplest amplitudes) to this set of equations can be found, in which all self-masses, etc., are finite. The solution is equivalent to summing a certain class of Feynman graphs, computed in the usual way. For a wide range of coupling constants, there are no "ghost" difficulties.

Item Type:Article
Additional Information:© 1961 by The American Physical Society. Received 10 October 1960. I should like to thank a number of people for suggestions, comments, and generally useful conversations; particularly J.D. Bjorken, M. Baker, S.D. Drell, W.J. Karzas, P.J. Redmond, C.L. Schwartz, K. Symanzik, and J.D. Walecka.
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10326
Deposited By: Tony Diaz
Deposited On:29 Apr 2008
Last Modified:26 Dec 2012 09:59

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