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arXiv 1012.2706hep-th
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关于有质量混合对称场的电磁相互作用

On electromagnetic interactions for massive mixed symmetry field

Yu. M. Zinoviev

摘要:

本文研究了最简单有质量混合对称场的电磁相互作用。利用类标架规范不变量公式,我们将最初用于研究AdS空间中无质量粒子引力相互作用的Fradkin-Vasiliev方法推广到有质量粒子离开(A)dS空间(包括平坦Minkowski空间)时的电磁相互作用的情形,该空间具有任意的宇宙学常数.首先,作为一般过程的一个例子,我们重新推导了我们以前关于有质量自旋2的电磁相互作用的结果,然后将这个过程应用到有质量混合对称场。这两种情况只是两类一般场,即完全对称场和混合对称场的最简单的代表,很明显,所得到的结果也可以直接推广到更高的自旋。

英文摘要:

In this paper we investigate electromagnetic interactions for simplest massive mixed symmetry field. Using frame-like gauge invariant formulation we extend Fradkin-Vasiliev procedure, initially proposed for investigation of gravitational interactions for massless particles in AdS space, to the case of electromagnetic interactions for massive particles leaving in (A)dS space with arbitrary value of cosmological constant including flat Minkowski space. At first, as an illustration of general procedure, we re-derive our previous results on massive spin 2 electromagnetic interactions and then we apply this procedure to massive mixed symmetry field. These two cases are just the simplest representatives of two general class of fields, namely completely symmetric and mixed symmetry ones, and it is clear that the results obtained admit straightforward generalization to higher spins as well.

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