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arXiv 0812.0651math-phmath.MP
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弯曲时空中旋量和自由QED态的费米输运

Fermi transport of spinors and free QED states in curved spacetime

Daniel Canarutto

摘要:

旋量的费米输运可以用2-旋量几何来精确理解。通过使用一个部分原始的,以前开发的2旋量和经典领域的治疗,我们描述了家庭的所有运输,沿给定的1维类时子流形的时空,产生标准的费米运输的矢量。此外,我们还证明了这个族中有一个杰出的成员,它与矢量的费米输运的关系类似于旋量联系与时空联系之间的关系。讨论了旋量的费米输运的各种性质,并将其应用于自由电子态的构造,以实现在以前的论文中介绍的依赖于探测器的QED形式。

英文摘要:

Fermi transport of spinors can be precisely understood in terms of 2-spinor geometry. By using a partly original, previously developed treatment of 2-spinors and classical fields, we describe the family of all transports, along a given 1-dimensional timelike submanifold of spacetime, which yield the standard Fermi transport of vectors. Moreover we show that this family has a distinguished member, whose relation to the Fermi transport of vectors is similar to the relation between the spinor connection and spacetime connection. Various properties of the Fermi transport of spinors are discussed, and applied to the construction of free electron states for a detector-dependent QED formalism introduced in a previous paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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