论文标题
玻色子星星及其亲戚在半经典重力中
Boson stars and their relatives in semiclassical gravity
论文作者
论文摘要
我们使用半经典重力近似在量子场理论中构建玻色子星形构型。将我们的注意力限制在静态情况下，我们表明，半经典的爱因斯坦 - 克莱因 - 凯莱因 - 戈尔登系统用于{\ it单个真实量子}标量字段，其状态描述了$ n $ {\ it {\ it相同的粒子}的激发，每个与给定能量相对应的$ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ n $ utf。特定考虑了球形对称的静态场景，其中能量水平由量子数$ n $，$ \ ell $和$ m $标记。当所有粒子都在基态中容纳$ n = \ ell = m = 0 $时，就会恢复标准的静态玻色子星溶液，如果$ n \ neq 0 $，则可能会感到兴奋。 On the other hand, for the case where all particles have fixed radial and total angular momentum numbers $n$ and $\ell$, with $\ell\neq 0$, but are homogeneously distributed with respect to their magnetic number $m$, one obtains the $\ell$-boson stars, whereas when $\ell=m=0$ and $n$ takes multiple values, the multi-state boson star solutions are obtained.提出了这些配置的进一步概括，包括多$ $ $ \ ell $多状态玻色子星，这构成了$ n $ - 粒子，静态，球形对称，半经典的真实爱因斯坦 - klein-klein-gordon系统的最一般解决方案，其中粒子的总数是确定的。尽管相同的时空配置也出现在多场古典理论中，但在半经典重力中它们自然出现，因为与描述多体系统的单个场的状态相关的量子波动。在超轻型标量场/模糊暗物质候选者的背景下，我们的结果可能会对直接检测实验产生潜在的影响。
We construct boson star configurations in quantum field theory using the semiclassical gravity approximation. Restricting our attention to the static case, we show that the semiclassical Einstein-Klein-Gordon system for a {\it single real quantum} scalar field whose state describes the excitation of $N$ {\it identical particles}, each one corresponding to a given energy level, can be reduced to the Einstein-Klein-Gordon system for $N$ {\it complex classical} scalar fields. Particular consideration is given to the spherically symmetric static scenario, where energy levels are labeled by quantum numbers $n$, $\ell$ and $m$. When all particles are accommodated in the ground state $n=\ell=m=0$, one recovers the standard static boson star solutions, that can be excited if $n\neq 0$. On the other hand, for the case where all particles have fixed radial and total angular momentum numbers $n$ and $\ell$, with $\ell\neq 0$, but are homogeneously distributed with respect to their magnetic number $m$, one obtains the $\ell$-boson stars, whereas when $\ell=m=0$ and $n$ takes multiple values, the multi-state boson star solutions are obtained. Further generalizations of these configurations are presented, including the multi-$\ell$ multi-state boson stars, that constitute the most general solutions to the $N$-particle, static, spherically symmetric, semiclassical real Einstein-Klein-Gordon system, in which the total number of particles is definite. In spite of the fact that the same spacetime configurations also appear in multi-field classical theories, in semiclassical gravity they arise naturally as the quantum fluctuations associated with the state of a single field describing a many-body system. Our results could have potential impact on direct detection experiments in the context of ultralight scalar field/fuzzy dark matter candidates.
