自旋基不变费米子的整体剩余
Global surpluses of spin-base invariant fermions
摘要:
弯曲空间中狄拉克费米子的自旋基不变形式保持了Clifford代数的广义协方差和相似变换的基本对称性。我们强调的优势,自旋基地不变的形式主义,无论是从概念上,以及从实际的角度来看。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)属性列表中。我们发现支持这一观点的明确建设的全球实现的Clifford代数的2-球,这是不可能的自旋基地的非不变vielbein形式主义。
英文摘要:
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.
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