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arXiv 2109.02590hep-thgr-qc
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宇宙学de Sitter-整体超时空中Dirac费米子的真空极化

Vacuum polarisation of Dirac fermions in the cosmological de Sitter-global monopole spacetime

Md Sabir Ali, Sourav Bhattacharya

摘要:

本文研究了位于宇宙学de Sitter时空中的点状全局粒子诱导的狄拉克费米子场的真空极化效应。首先,我们推导出四个正交狄拉克模式在此背景下,在一个封闭的形式。使用这些模式量子化场,然后我们计算费米子凝聚,$\langle 0| \overlineΨ Ψ| 0\rangle$,以及真空期望值的能量动量张量的大质量狄拉克场,以特定的方式正规化。我们已经使用阿贝尔-普拉纳求和公式,以提取这些数量的全球性的贡献,并研究了它们的变化数值相对于相关参数。

英文摘要:

We study the vacuum polarisation effects of the Dirac fermionic field induced by a pointlike global monopole located in the cosmological de Sitter spacetime. First we derive the four orthonormal Dirac modes in this background in a closed form. Quantising the field using these modes, we then compute the fermionic condensate, $\langle 0| \overlineΨ Ψ| 0\rangle$, as well as the vacuum expectation value of the energy-momentum tensor for a massive Dirac field, regularised in a particular way. We have used the Abel-Plana summation formula in order to extract the global monopole contribution to these quantities and have investigated their variations numerically with respect to relevant parameters.

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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