Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1995-10-16
Nucl.Phys. A601 (1996) 397-424
Physics
Nuclear Physics
Nuclear Theory
28 pages standard LaTeX, 13 uuencoded postscript figures embedded with psfig.sty
Scientific paper
10.1016/0375-9474(96)00016-4
We investigate a relativistic quantum field theory in the particle representation using a non-perturbative variational technique. The theory is that of two massive scalar particles, `nucleons' and `mesons', interacting via a Yukawa coupling. We calculate the general Euclidean Green function involving two external nucleons and an arbitrary number of external mesons in the quenched approximation for the nucleons. The non-perturbative renormalization and truncation is done in a consistent manner and results in the same variational functional independent of the number of external mesons. We check that the calculation agrees with one-loop perturbation theory for small couplings. As an illustration the special case of meson absorption on the nucleon is considered in detail. We derive the radius of the dressed particle and numerically investigate the vertex function after analytic continuation to Minkowski space.
Rosenfelder R.
Schreiber Andreas W.
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