Quantum fluctuations on domain walls, strings, and vacuum bubbles.

Quantum fluctuations on domain walls, strings, and vacuum bubbles.
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磁畴壁、弦和真空泡上的量子涨落。

DOI:
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发表时间:
1992
期刊:
Physical Review D, Particles and fields
影响因子:
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通讯作者:
A. Vilenkin
A. Vilenkin
中科院分区:
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文献类型:
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作者:
J. Garriga;A. Vilenkin

文献摘要

被引文献

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我们发展了真空畴壁和弦上涨落的协变量子理论。波动描述的标量场定义的经典世界表的缺陷。我们考虑了以下情况:平直空间中的直弦和平面壁,假真空中的真真空泡成核,以及暴胀过程中的弦和壁成核。微扰的量子态被构造成使得它尊重经典解的原始对称性。特别是,对于真空泡和成核弦和壁的情况,世界片的几何形状是低维的德西特空间,问题归结为德西特空间中快子质量标量场的量子化。在所有情况下,均方根波动进行了详细的评估,并简要讨论了物理意义。
We develop a covariant quantum theory of fluctuations on vacuum domain walls and strings. The fluctuations are described by a scalar field defined on the classical world sheet of the defects. We consider the following cases: straight strings and planar walls in flat space, true vacuum bubbles nucleating in false vacuum, and strings and walls nucleating during inflation. The quantum state for the perturbations is constructed so that it respects the original symmetries of the classical solution. In particular, for the case of vacuum bubbles and nucleating strings and walls, the geometry of the world sheet is that of a lower-dimensional de Sitter space, and the problem reduces to the quantization of a scalar field of tachyonic mass in de Sitter space. In all cases, the root-mean-squared fluctuation is evaluated in detail, and the physical implications are briefly discussed.