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arXiv 1407.4569hep-thgr-qc
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(反)de Sitter空间中的单圈有效Action与Schwinger效应

One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space

Rong-Gen Cai, Sang Pyo Kim

摘要:

研究了均匀电场作用下${\rm dS}_2$和${\rm AdS}_2$中的Schwinger机制以及曲率效应对Schwinger效应的影响,提出了用加速电荷在${\rm dS}_2$中的Gibbons-Hawking温度和Unruh温度对Schwinger公式的热解释以及在${\rm AdS}_2$中的类似表达式.精确的单圈有效作用量存在于每个空间的真时积分中,它由有效质量、麦克斯韦标量和标量曲率决定,其极点结构给出了有效作用量的虚部和精确的成对产生率。精确的成对产生率也给出了热解释。

英文摘要:

We study the Schwinger mechanism by a uniform electric field in ${\rm dS}_2$ and ${\rm AdS}_2$ and the curvature effect on the Schwinger effect, and further propose a thermal interpretation of the Schwinger formula in terms of the Gibbons-Hawking temperature and the Unruh temperature for an accelerating charge in ${\rm dS}_2$ and an analogous expression in ${\rm AdS}_2$. The exact one-loop effective action is found in the proper-time integral in each space, which is determined by the effective mass, the Maxwell scalar, and the scalar curvature, and whose pole structure gives the imaginary part of the effective action and the exact pair-production rate. The exact pair-production rate is also given the thermal interpretation.

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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