arXiv 1707.063132017-07hep-thhep-phnucl-th

能量动量张量矩阵元的严格约束

Rigorous constraints on the matrix elements of the energy-momentum tensor

Peter Lowdon, Kelly Yu-Ju Chiu, Stanley J. Brodsky

备注：: 11 pages; v2: additional comments added, matches published version
发表信息：: Phys. Lett. B 774, 1 (2017)
DOI：: 10.1016/j.physletb.2017.09.050

摘要：

能量-动量张量的矩阵元的结构在确定出现在矩阵元的洛伦兹协变分解中的形状因子$A(q^{2})$、$B(q^{2})$和$C(q^{2})$的性质中起重要作用。在本文中，我们采用严格的帧独立的分布匹配方法的庞加莱生成器的矩阵元素，以获得这些形状因子作为$q \rightarrow 0$的约束。与文献相反，我们明确地证明了反常重力磁矩$B(0)$的消失和条件$A(0)=1$是相互独立的，并且这些约束与单个庞加莱生成元本身的特定性质或守恒无关，但实际上是矩阵元素中的状态的物理上壳要求以及这些状态在庞加莱变换下变换的方式的结果。

英文摘要：

The structure of the matrix elements of the energy-momentum tensor play an important role in determining the properties of the form factors $A(q^{2})$, $B(q^{2})$ and $C(q^{2})$ which appear in the Lorentz covariant decomposition of the matrix elements. In this paper we apply a rigorous frame-independent distributional-matching approach to the matrix elements of the Poincaré generators in order to derive constraints on these form factors as $q \rightarrow 0$. In contrast to the literature, we explicitly demonstrate that the vanishing of the anomalous gravitomagnetic moment $B(0)$ and the condition $A(0)=1$ are independent of one another, and that these constraints are not related to the specific properties or conservation of the individual Poincaré generators themselves, but are in fact a consequence of the physical on-shell requirement of the states in the matrix elements and the manner in which these states transform under Poincaré transformations.

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