Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-06-22
Phys.Lett. B521 (2001) 204-210
Physics
Nuclear Physics
Nuclear Theory
10 pages, 4 figures, using REVTeX. Fig. 2 corrected, results unchanged, to be published in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(01)01242-4
We solve the Bethe-Salpeter equation for two-particle scattering in a field-theoretical model using two lagrangians related by a field transformation. The kernel of the equation consists of the sum of all tree-level diagrams for each lagrangian. The solutions differ even if all four external particles are put on the mass shell, which implies that observables calculated by solving the Bethe-Salpeter equation depend on the representation of the theory. We point out that this violation of the equivalence theorem has a simple explanation and should be expected for any Bethe-Salpeter equation with a tree-level kernel. Implications for dynamical models of hadronic interactions are discussed.
Fearing Harold W.
Kondratyuk S.
Lahiff A. D.
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