费米子-费米子和玻色子-玻色子振幅：惊人的相似性
Fermion-fermion and boson-boson amplitudes: surprising similarities
摘要：
在罗巴切夫斯基空间中，用二阶微扰理论计算了费米子-费米子、玻色子-玻色子和费米子-玻色子相互作用的振幅。该模型的一个重要组成部分是温伯格的2（2 j +1）分量形式，用于描述自旋为j的粒子。然后将玻色子-玻色子振幅与很久以前由斯卡奇科夫根据卡迪舍夫斯基提出的质量双曲面上的量子场论的哈密顿公式p_0^2 - p^2=M^2得到的两费米子振幅进行比较。通过在罗巴切夫斯基空间中的动量转移参数化的振幅导致相同的自旋结构的费米子的情况下和玻色子的情况下的T-矩阵的表达式。然而，某些差异被发现。可能的物理应用进行了讨论。
英文摘要：
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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