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Interactions of a $j=1$ boson in the $2(2j+1)$ component theory

Valeri V. Dvoeglazov
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Abstract

The 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 long ago by Skachkov on the ground of the hamiltonian formulation of quantum field theory on the mass hyperboloid, $p_0^2 -{\bf p}^2=M^2$, 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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Valeri V. Dvoeglazov. 1995-05-08. Interactions of a $j=1$ boson in the $2(2j+1)$ component theory. https://doi.org/10.1007/bf02082937

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