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arXiv 2008.00607hep-th
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宇宙弦周围高导数标量场理论中应力张量的量子涨落

Quantum fluctuation of stress tensor in a higher-derivative scalar field theory around a cosmic string

Nahomi Kan, Masashi Kuniyasu, Kiyoshi Shiraishi

摘要:

本文计算了高导数理论应力张量在细宇宙弦周围的真空涨落。为此,我们采用了Gibbons等人提出的从有效作用量得到应力张量的方法,将无自相互作用的高导数标量场的量子应力张量表示为自由质量标量场的量子应力张量之和.与在类似模型中得到的标量场平方的真空期望值不同,在锥形奇点附近的真空期望值没有减少。

英文摘要:

We calculate the vacuum fluctuation of the stress tensor of a higher-derivative theory around a thin cosmic string. To this end, we adopt the method to obtain the stress tensor from the effective action developed by Gibbons et al. By their method, the quantum stress tensor of higher-derivative scalar theories without self-interaction is expressed as a simple sum of quantum stress tensors of free massive scalar fields. Unlike the vacuum expectation value of the scalar field squared obtained in the similar model, there appears no reduction of the values near the conical singularity.

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