arXiv 1105.62492011-05gr-qchep-thmath-phmath.MP

宇宙学中的局部协方差、重整化模糊性和局部热平衡

Local covariance, renormalization ambiguity, and local thermal equilibrium in cosmology

Rainer Verch

备注：: 28 p, 2 figures. To appear in the proceedings of the conference "Quantum Field Theory and Gravity" (Regensburg, Germany, Sep 28 - Oct 1, 2010), F. Finster et al. (eds.) (Birkhaeuser, Basel, 2011). v2: References updated and layout snags removed

摘要：

本文评述了弯曲时空中局部协方差的某些方面，以及量子场论的应力能量张量定义中的模糊性和反常现象。然后，总结了Buchholz等人提出的定义量子场论中局域热平衡态的方法，即：非平衡态，可以局部地将热参数，例如温度或热应力-能量分配给该非平衡状态。将这一概念推广到弯曲时空进行了讨论，并给出了一些相关结果。最后，最近的宇宙学方法的Dappiaggi，Fredenaldi和Pinamonti的基础上，一个杰出的固定的应力-能量重整化的模糊性设置的半经典爱因斯坦方程，简要介绍。局部热平衡态的概念，然后应用，产生的结果，量子化，无质量，共形耦合的线性标量场的温度行为在早期宇宙学时间是比经典辐射的更奇异。

英文摘要：

This article reviews some aspects of local covariance and of the ambiguities and anomalies involved in the definition of the stress energy tensor of quantum field theory in curved spacetime. Then, a summary is given of the approach proposed by Buchholz et al. to define local thermal equilibrium states in quantum field theory, i.e., non-equilibrium states to which, locally, one can assign thermal parameters, such as temperature or thermal stress-energy. The extension of that concept to curved spacetime is discussed and some related results are presented. Finally, the recent approach to cosmology by Dappiaggi, Fredenhagen and Pinamonti, based on a distinguished fixing of the stress-energy renormalization ambiguity in the setting of the semiclassical Einstein equations, is briefly described. The concept of local thermal equilibrium states is then applied, to yield the result that the temperature behaviour of a quantized, massless, conformally coupled linear scalar field at early cosmological times is more singular than that of classical radiation.

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