Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-31
Hadronic J.Suppl.10:359,1995
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file (sprocl.sty), 4pp. Presented at the IV Wigner Symp
Scientific paper
Amplitudes for boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredient of the used model is the Weinberg's $2(2j+1)$ component formalism for describing a particle of spin $j$, recently developed substantially. The boson-boson amplitude is then compared with the two-fermion amplitude obtained by Skachkov long ago on the ground of the hamiltonian formulation of quantum field theory on the mass hyperboloid, $p_0^2 -{\vec p}^{2}=M^2$, proposed by Kadyshevsky. The parametrization of the amplitudes by means of the momentum transfer in the Lobachevsky space leads to same spin structures in the expressions of $T$ matrices for the fermion and the boson cases. However, certain differences are found. Possible physical applications are discussed.
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