According to https://arxiv.org/abs/1407.4569, equation (2.15), the Schwinger electron-positron pair production rate in Minkowski space, ##N_S##, is given in natural units by(adsbygoogle = window.adsbygoogle || []).push({});

$$N_S=\exp(-\frac{m}{2T_U})$$

where the `Unruh temperature for the accelerating charge', ##T_U##, is given by

$$T_U=\frac{1}{2\pi}\frac{qE}{m}$$

where ##q## is the electron charge, ##m## is the electron mass and ##E## is the applied electric field.

In principle, could the Schwinger effect be confirmed by measuring the temperature ##T_U## rather than trying to detect electron-positron pairs?

In SI Units:

$$T_U = \frac{1}{2\pi}\frac{\hbar}{c k_B}\frac{q E}{m}$$

If the static electric field ##E=1## MV/m then the Unruh temperature ##T_U\sim 10^{-3}##K.

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# I Schwinger effect verified by Unruh temperature?

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