【摘要】 本大回顾了η-ξ时空理论提出的过程和思路。η-ξ时空首次把统计物理与霍金辐射理论联系起来,可作为有限温度场论的背景时空。η-ξ时空的引入可从以下两个角度考虑:从弯曲时空量子场论的角度看,可以认为η-ξ时空是Kruskal流形和Rindler时空的一种自然推广。从有限温度场论的角度看,η-ξ时空可以看成拓扑S~1×R~3的最大解析复延拓,这是为什么η-ξ时空与有限温度场论密切关联的原因。最后本文提出了一些有待进一步讨论和解决的问题。更多还原

【Abstract】 The theory of η-ε spacetime is an original innovative subject. In this paper the idea and progress on this new spacetime are reviewed.η-ε spacetime connects statistical mechanics with Hawking’ s radiation theories, and can be regarded as a geometric background of field theory at finite temperature in Minkowski spacetime. The η-ε spacetime can be considered in two ways: In quantum field theory of curved spacetime, η-ε spacetime theory is a natural extension of Hawking radiation theory. On the other hand, η-ε spacetime is a maximal analytical complex extension of topology S1×R3. This is why η-ε spacetime relates closely to finite temperature field theory. Finally, some problems to be solved are given.更多还原