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首页> 外文期刊>Annales Henri Poincare >The Generalised Principle of Perturbative Agreement and the Thermal Mass
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The Generalised Principle of Perturbative Agreement and the Thermal Mass

机译：扰动协议的广义原理和热质量

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摘要

The principle of perturbative agreement, as introduced by Hollands and Wald, is a renormalization condition in quantum field theory on curved spacetimes. This principle states that the perturbative and exact constructions of a field theoretic model given by the sum of a free and an exactly tractable interaction Lagrangian should agree. We develop a proof of the validity of this principle in the case of scalar fields and quadratic interactions without derivatives, which differs in strategy from the one given by Hollands and Wald for the case of quadratic interactions encoding a change of metric. Thereby, we profit from the observation that, in the case of quadratic interactions, the composition of the inverse classical Moller map and the quantum Moller map is a contraction exponential of a particular type. Afterwards, we prove a generalisation of the principle of perturbative agreement and show that considering an arbitrary quadratic contribution of a general interaction either as part of the free theory or as part of the perturbation gives equivalent results. Motivated by the thermal mass idea, we use our findings to extend the construction of massive interacting thermal equilibrium states in Minkowski spacetime developed by Fredenhagen and Lindner to the massless case. In passing, we also prove a property of the construction of Fredenhagen and Lindner which was conjectured by these authors.
机译：由荷兰和沃尔德引入的扰动协议原则是弯曲时空曲线型季全场理论中的重整化条件。这一原则指出，由自由和完全贸易互动拉格朗日的总和给出的场理论模型的扰动和精确建设应该同意。在没有衍生物的标量场和二次交互的情况下，我们在没有衍生物的策略与荷兰人和沃尔德给出的案例中不同于编码度量的二次交互的策略不同。由此，我们从观察中获利，在二次相互作用的情况下，逆典型莫尔梅勒图的组成和量子莫尔玛映射是特定类型的收缩指数。之后，我们证明了扰动协议原则的概括，并表明，考虑到一般互动的任意二次贡献作为自由理论的一部分或作为扰动的一部分给出了等效结果。通过热质量思想的动机，我们使用我们的研究结果扩展了由Fredenhagen和Lindner开发的Minkowski Spacetime在Minkowski Spacetime中的巨大相互作用的热平衡状态。在通过，我们还证明了弗雷登哈根和林纳的建设，这是由这些作者猜想的。

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