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arXiv 1605.09337gr-qcastro-ph.COhep-th
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关于宇宙学扰动的半经典性的注记

A note on the semiclassicality of cosmological perturbations

Pietro Dona, Antonino Marciano

摘要:

考虑到物质场必须根据它们的基本量子对应物来处理,我们在普通量子力学和量子场论的框架内给出了直接的论证,以使读者相信宇宙学扰动必须根据量子场期望值的半经典极限来处理。我们首先考虑由量子标量场引起的宇宙学扰动,然后扩展我们的处理,以考虑狄拉克费米子场双线性的期望值。实际上,后者可以在非同态下变换为标量,以及属于Clifford代数的狄拉克场的所有其他双线性。这是一系列工作的第一个,旨在证明宇宙学量子扰动实际上可以用狄拉克费米子场来解释,狄拉克费米子场必须被视为基本的量子对象及其动力学。

英文摘要:

Moving from the consideration that matter fields must be treated in terms of their fundamental quantum counterparts, we show straightforward arguments, within the framework of ordinary quantum mechanics and quantum field theory, in order to convince readers that cosmological perturbations must be addressed in term of the semiclassical limit of the expectation value of quantum fields. We first take into account cosmological perturbations originated by a quantum scalar field, and then extend our treatment in order to account for the expectation values of bilinears of Dirac fermion fields. The latter can indeed transform as scalar quantities under diffeomorphisms, as well as all the other bilinear of the Dirac fields that belong to the Clifford algebra. This is the first of a series of works that is intended to prove that cosmological quantum perturbations can actually be accounted for in terms of Dirac fermion fields, which must be treated as fundamental quantum objects, and their dynamics.

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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