Schwinger mechanism, Unruh effect, and production of accelerated black holes
Schwinger mechanism, Unruh effect, and production of accelerated black holes
复制标题
施温格机制、昂鲁效应和加速黑洞的产生
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Serge Massar
中科院分区：
文献类型：
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作者：
R. Parentani;Serge Massar
我们计算了加速的Unruh“盒子”的跃迁幅度的修正，当加速盒子被浸入恒定电场中的“二能级离子”取代并在第二次量化中处理时出现。有两种修正：由动量转移引起的反冲效应和由对形成引起的修正。综合起来，这些修正表明，海森堡-欧拉-施温格机制所描述的对产生振幅与Unruh效应之间存在直接关系，即加速系统在温度$a/2\ensuremath{\pi}$下的热化，其中$a$是加速度。特别是，两种效应之间存在热力学一致性，其起源是控制对产生速率的欧几里得作用作为传递Unruh温度的熵。考虑到带电黑洞在电场中的成对产生，这些关系解释了为什么黑洞是在热平衡状态下从真空中产生的，即它们的霍金温度等于它们的昂鲁温度。
We compute the corrections to the transition amplitudes of an accelerated Unruh ``box'' that arise when the accelerated box is replaced by a ``two level ion'' immersed in a constant electric field and treated in second quantization. There are two kinds of corrections: those due to recoil effects induced by the momentum transfers and those due to pair creation. Taken together, these corrections show that there is a direct relationship between pair creation amplitudes described by the Heisenberg-Euler-Schwinger mechanism and the Unruh effect, i.e., the thermalization of accelerated systems at temperature $a/2\ensuremath{\pi}$ where $a$ is the acceleration. In particular, there is a thermodynamical consistency between both effects whose origin is that the Euclidean action governing pair creation rates acts as an entropy in delivering the Unruh temperature. Upon considering pair creation of charged black holes in an electric field, these relationships explain why black holes are created from vacuum in thermal equilibrium, i.e., with their Hawking temperature equal to their Unruh temperature.