Thermal effects on a global monopole with Robin boundary conditions,Physical Review D

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Thermal effects on a global monopole with Robin boundary conditions
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-21 , DOI: 10.1103/physrevd.104.085020
Lissa de Souza Campos _{1,

2} , João Paulo M. Pitelli ₃

Affiliation

Within quantum field theory on a global monopole spacetime, we study thermal effects on a naked singularity and their relation to boundary conditions. We first obtain the two-point functions for the ground state and for thermal states of a massive, arbitrarily coupled, free scalar field compatible with Robin boundary conditions at the singularity. We then probe these states using a static Unruh-Dewitt particle detector. The transition rate is analyzed for the particular cases of massless minimally or conformally coupled fields at finite temperature. To interpret the detector’s behavior, we compute the thermal contribution to the ground-state fluctuations and to the energy density. We verify that the behavior of the transition rate, the fluctuations, and the energy density are closely intertwined. In addition, we find that these renormalized quantities remain finite at the singularity for, and only for, the Dirichlet boundary condition.

中文翻译：

具有 Robin 边界条件的全局单极子的热效应

在全球单极子时空的量子场论中，我们研究了裸奇点的热效应及其与边界条件的关系。我们首先获得基态和热态的两点函数，该函数与奇点处的 Robin 边界条件兼容的大量任意耦合的自由标量场。然后我们使用静态 Unruh-Dewitt 粒子探测器探测这些状态。分析了有限温度下无质量最小或共形耦合场的特殊情况的转变速率。为了解释探测器的行为，我们计算了对基态波动和能量密度的热贡献。我们验证了跃迁率、波动和能量密度的行为密切相关。此外，

更新日期：2021-10-22

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