The Unruh effect has been investigated from the point of view of the quantum statistical Zubarev density operator in space with the Minkowski metric. Quantum corrections of the fourth order in acceleration to the energy-momentum tensor of real and complex scalar fields, and Dirac field are calculated. Both massless and massive fields are considered. The method for regularization of discovered infrared divergences for scalar fields is proposed. The calculated corrections make it possible to substantiate the Unruh effect from the point of view of the statistical approach, and to explicitly show its universality for various quantum field theories of massless and massive fields. The obtained results exactly coincide with the ones obtained earlier by calculation of the vacuum aver- age of energy-momentum tensor in a space with a conical singularity. Thus, the duality of two methods for describing an accelerated medium is substantiated. One may also speak about the emergence of geometry with conical singularity from thermodynamics. In particular, the polynomiality of the energy-momentum tensor and the absence of higher-order corrections in acceleration can be explicitly demonstrated.

中文翻译：

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Unruh 效应普遍性：来自密度算子的紧急圆锥几何

已经从空间中量子统计 Zubarev 密度算符的角度使用 Minkowski 度量研究了 Unruh 效应。计算了实数和复数标量场和狄拉克场的能量-动量张量的加速度四阶量子校正。无质量场和有质量场都被考虑。提出了对已发现的标量场红外发散进行正则化的方法。计算出的修正使得从统计方法的角度证实安鲁效应成为可能，并明确显示其对无质量和有质量场的各种量子场论的普遍性。得到的结果与之前计算圆锥奇点空间中能量-动量张量的真空平均得到的结果完全一致。因此，证明了描述加速介质的两种方法的二重性。人们也可以谈论热力学中圆锥奇点几何的出现。特别是，可以明确证明能量-动量张量的多项式和加速度中没有高阶校正。