Global surpluses of spin-base invariant fermions
Global surpluses of spin-base invariant fermions
复制标题
自旋基不变费米子的全球过剩
DOI：
10.1016/j.physletb.2015.03.014
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发表时间：
2015
影响因子：
4.4
通讯作者：
Stefan Lippoldt
中科院分区：
文献类型：
--
作者：
H. Gies;Stefan Lippoldt
弯曲空间中狄拉克费米子的自旋基不变性形式保持了一般协方差的基本对称性以及Clifford代数的相似变换。我们从概念和实践两个角度强调了自旋基不变性形式主义的优点。这表明局域自旋-基不变性应该被添加到(量子)引力理论的(有效)性质列表中。我们通过在2-球面上显式构造Clifford代数的整体实现来支持这一观点，这在自旋基非不变的Velbein形式中是不可能的。
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra. We emphasize the advantages of the spin-base invariant formalism both from a conceptual as well as from a practical viewpoint. This suggests that local spin-base invariance should be added to the list of (effective) properties of (quantum) gravity theories. We find support for this viewpoint by the explicit construction of a global realization of the Clifford algebra on a 2-sphere which is impossible in the spin-base non-invariant vielbein formalism.