Temperature of Electron Fluctuations in an Accelerated Vacuum

Abstract

The electron vacuum fluctuations measured by $\text{cond}$ do not vanish in an externally applied electric field $\text{calE}$. For an exactly constant field, that is for vacuum fluctuations in presence of a constant accelerating force, we show that $\text{cond}$ has a Boson-like structure with spectral state density ${\tanh }^{-1}(E/m)$ and temperature $\text{TEH}=e\text{calE}/m\pi =a_v/\pi$. Considering the vacuum fluctuations of `classical' gyromagnetic ratio $g=1$ particles we find Fermi-like structure with the same spectral state density at a smaller temperature $T_1=a_v/2\pi$ which corresponds to the Unruh temperature of an accelerated observer.

Comments: 6 pages, prepared for proceedings of First LeCosPA Symposium, February, 2012