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基本矢量粒子的电磁耦合

Electromagnetic couplings of elementary vector particles

M. Napsuciale, S. Rodriguez, E. G. Delgado-Acosta, M. Kirchbach

备注：
10 pages, 2 figures, contributed to the XI Mexican Workshop on Particles and Fields. Accepted in Phys. Rev. D
发表信息：
Phys.Rev.D77:014009,2008
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摘要：

根据时空的庞加莱对称性、电磁规范对称性和么正性三个基本原理，我们构造了基本矢量粒子电磁相互作用的普适拉格朗日量，即：自旋为1的大质量粒子在均匀洛伦兹群（HLG）的1/1/2，1/2）表象空间中的变换.我们指出，前两个对称性本身并不能唯一地确定电磁耦合，而是仅仅规定了一个依赖于两个自由参数的一般拉格朗日量，这里用f和g表示。第一个定义了矢量粒子的电偶极子和磁四极矩，而第二个决定了它的磁偶极子和电四极矩。为了固定参数，需要适合于实现第三原理的附加物理输入。因此，人们选择康普顿散射离开矢量目标，并要求截面尊重高能量极限中的么正性边界。最后，我们得到了在树的层次上完全刻画所考虑的基本矢量场的电磁耦合的普适g=2和k =0值.这个矢量粒子的性质，阿贝尔与非阿贝尔，不影响这个结构。仅仅是将g=2的值划分为非阿贝尔的g_{na}和阿贝尔的g_{a} =2- g_{na}，对于非阿贝尔的场来说，贡献发生在g_{na}的大小由出现在感兴趣的理论中的特定非阿贝尔群确定的情况下，无论是标准模型还是任何其他理论。

英文摘要：

On the basis of the three fundamental principles of (i) Poincaré symmetry of space time, (ii) electromagnetic gauge symmetry, and (iii) unitarity, we construct an universal Lagrangian for the electromagnetic interactions of elementary vector particles, i.e., massive spin-1 particles transforming in the /1/2,1/2) representation space of the Homogeneous Lorentz Group (HLG). We make the point that the first two symmetries alone do not fix the electromagnetic couplings uniquely but solely prescribe a general Lagrangian depending on two free parameters, here denoted by ξand g. The first one defines the electric-dipole and the magnetic-quadrupole moments of the vector particle, while the second determines its magnetic-dipole and electric-quadrupole moments. In order to fix the parameters one needs an additional physical input suited for the implementation of the third principle. As such, one chooses Compton scattering off a vector target and requires the cross section to respect the unitarity bounds in the high energy limit. In result, we obtain the universal g=2, and ξ=0 values which completely characterize the electromagnetic couplings of the considered elementary vector field at tree level. The nature of this vector particle, Abelian versus non-Abelian, does not affect this structure. Merely, a partition of the g=2 value into non-Abelian, g_{na}, and Abelian, g_{a}=2-g_{na}, contributions occurs for non-Abelian fields with the size of g_{na} being determined by the specific non-Abelian group appearing in the theory of interest, be it the Standard Model or any other theory.

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