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arXiv · 0711.2276

Fermion-fermion and boson-boson amplitudes: surprising similarities

Valeri V. Dvoeglazov
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Abstract

Amplitudes for fermion-fermion, boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredient of the model is the Weinberg's 2(2j+1)-component formalism for describing a particle of spin j. The boson-boson amplitude is then compared with the two-fermion amplitude obtained long ago by Skachkov on the basis of the Hamiltonian formulation of quantum field theory on the mass hyperboloid, p_0^2 - 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 case and the boson case. However, certain differences are found. Possible physical applications are discussed.

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Valeri V. Dvoeglazov. 2007-11-14. Fermion-fermion and boson-boson amplitudes: surprising similarities. https://doi.org/10.1088/1742-6596/128/1/012002

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