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Evolution equation and relativistic bound-state wave functions for scalar-field models in four and six dimensions
Author(s) -
Stanley J. Brodsky,
ChuengRyong Ji,
Mikolaj Sawicki
Publication year - 1985
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.32.1530
Subject(s) - physics , bound state , scalar (mathematics) , scalar field , wave function , light cone , amplitude , wave equation , bethe–salpeter equation , mathematical physics , relativistic wave equations , klein–gordon equation , quantum electrodynamics , quantum mechanics , classical mechanics , mathematics , geometry , nonlinear system
We investigate the evolution equation for distribution amplitudes in the framework of a scalar theory quantized on the light cone. We End general solu- tions for the cases of 4 and 6 dimensions and use them to reconstruct two-body relativistic bound state wave functions at small distances. The relation between the light-cone bound state equation and the Bethe-Salpeter equation is discussed.

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