Some exact solutions of reduced scalar Yukawa theory
Nuclear Theory
2009-10-31 v1 High Energy Physics - Phenomenology
Abstract
The scalar Yukawa model, in which a complex scalar field interact via a real scalar field, is reduced by using covariant Green functions. It is shown that exact few-particle eigenstates of the truncated QFT Hamiltonian can be obtained in the Feshbach-Villars formulation if an unorthodox "empty" vacuum state is used. Analytic solutions for the two-body case are obtained for massless chion exchange in 3+1 dimensions and for massive chion exchange in 1+1 dimensions. Comparison is made to ladder Bethe-Salpeter, Feynman-Schwinger and quasipotential results for massive chion exchange in 3+1. Equations for the three-body case are also obtained.
Keywords
Cite
@article{arxiv.nucl-th/9807006,
title = {Some exact solutions of reduced scalar Yukawa theory},
author = {Jurij W. Darewych},
journal= {arXiv preprint arXiv:nucl-th/9807006},
year = {2009}
}
Comments
19 pages, TEX, to appear in Can. J. Phys