标题： 引力诱导的标量场退相干：研究单粒子扇区及其与重整化的相互作用 显示英文标题

标题： Gravitationally induced decoherence of a scalar field: investigating the one-particle sector and its interplay with renormalisation

摘要： 我们研究了文献[1]中引力诱导退相干的场论模型对于标量场的一粒子部分，特别关注一粒子主方程的重整化。 与文献中现有的模型不同，这些模型通常在马尔可夫和旋转波近似之后进行重整化，并且常常只针对某些极限情况，如非相对论或超相对论极限，而在这里我们直接在单粒子投影之后进行重整化。 通过这种策略，我们表明一粒子主方程中的紫外发散贡献可以与有效量子场论中标量场自能的真空贡献相联系，具体取决于所选择的一粒子投影方法，其真空圈，而自能中的额外热贡献都是紫外有限的。 为了获得重整化的一粒子主方程，我们使用了底层有效QFT的在壳重整化程序。 然后我们应用马尔可夫和旋转波近似，并指定了在超相对论极限情况下可以应用马尔可夫近似的条件。 我们将我们的结果与文献中已有的结果进行了比较。 这包括对两种不同的一粒子投影的分析，量子力学和场论模型重整化的应用和影响的比较，重整化后的一粒子主方程的非相对论和超相对论极限，以及与中微子振荡背景下引力诱导退相干的量子力学玩具模型的比较。 显示英文摘要

摘要： We investigate the one-particle sector for the field-theoretical model of gravitationally induced decoherence for a scalar field in [1] with a special focus on the renormalisation of the one-particle master equation. In contrast to existing models in the literature, where the renormalisation is usually performed after the Markov and rotating wave approximation and often only for certain limits such as the non- or ultra-relativistic limit, here we apply the renormalisation directly after the one-particle projection. With this strategy, we show that UV-divergent contributions in the one-particle master equation can be identified with the vacuum contributions in the self-energy of the scalar field in the effective quantum field theory and depending on the chosen one-particle projection method, its vacuum bubbles, while the additional thermal contributions in the self-energy are all UV-finite. To obtain the renormalised one-particle master equation, we use an on-shell renormalisation procedure of the underlying effective QFT. We then apply the Markov and rotating wave approximation, specifying a condition under which the Markov approximation can be applied in the case of the ultra-relativistic limit. We compare our results with those available in the literature. This includes an analysis of two different kinds of one-particle projections, a comparison of the application and effects of renormalisation of quantum mechanical and field theoretical models, the non-relativistic and ultra-relativistic limits of the renormalised one-particle master equations, and a comparison with a quantum mechanical toy model for gravitationally induced decoherence in the context of neutrino oscillations.