Some exact solutions of reduced scalar Yukawa theory

Details Some exact solutions of reduced scalar Yukawa theory Some exact solutions of reduced scalar Yukawa theory

1998-07-02

arxiv.org/abs/nucl-th/9807006v1

Can.J.Phys. 76 (1998) 523-537

Physics

Nuclear Physics

Nuclear Theory

19 pages, TEX, to appear in Can. J. Phys

Scientific paper

10.1139/cjp-76-7-523

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.

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