Quantum corrections to the QED vacuum energy
Quantum corrections to the QED vacuum energy
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QED 真空能量的量子修正
DOI：
10.1016/s0550-3213(98)00364-2
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
F. Ravndal
中科院分区：
文献类型：
--
作者：
X. Kong;F. Ravndal
在能量远小于电子质量m的情况下，真空中由虚电子环引起的量子涨落效应可以通过附加的与乌林和欧拉-海森堡相互作用相对应的不可重整项来扩展麦克斯韦拉格朗日量。该有效场论用于计算温度T⪡m时QED真空的性质。通过对电磁场的重新定义，表明Uehling项没有贡献。因此，发现斯蒂芬-玻尔兹曼能量密度被修改为与T8/m4成正比的项，与巴顿的半经典结果一致。黑体辐射中的光速小于1。同样，两个金属平行板之间的真空能量密度的修正在距离其中一个板z→0时发散为1/m4z8。虽然正则化能量密度的积分是发散的，但正则化积分是有限的，对应于卡西米尔力的修正，卡西米尔力随板间距离L的变化为1/m4L8。这一结果似乎与先前的卡西米尔力的辐射修正结果不一致，卡西米尔力在使用全QED计算时给出了1/ ml5的修正。
At energies much less than the electron mass m the effects of quantum fluctuations in the vacuum due to virtual electron loops can be included by extending the Maxwell Lagrangian by additional non-renormalizable terms corresponding to the Uehling and Euler-Heisenberg interactions. This effective field theory is used to calculate the properties of the QED vacuum at temperatures T ⪡ m. By a redefinition of the electromagnetic field, the Uehling term is shown not to contribute. The Stefan-Boltzmann energy density is thus found to be modified by a term proportional with T8/m4in agreement with the semi-classical result of Barton. The speed of light in blackbody radiation is smaller than one. Similarly, the correction to the energy density of the vacuum between two metallic parallel plates diverges like 1/m4z8at a distance from one of the plates z → 0. While the integral of the regularized energy density is thus divergent, the regularized integral is finite and corresponds to a correction to the Casimir force which varies with the separation L between the plates as 1/m4L8. This result is seemingly in disagreement with a previous result for the radiative correction to the Casimir force which gives a correction varying like 1/mL5in a calculation using full QED.