论文标题
关于玻色颗星的经典性
On the classicality of bosonic stars
论文作者
论文摘要
由于klein-gordon和proca方程涉及$ \ hbar $，因此它们描述了量子字段。但是，如果他们的典型动作遵守$ s^{\ rm典型} \ gg \ hbar $，他们的解决方案可能会被视为经典。这是由于其纤维传动性，因此允许具有许多颗粒的状态。我们通过一般参数表明，此类骨恒星的典型动作是$ {\ Mathcal {s}^{\ rm典型}}}}/{\ hbar} \ gtrsim \ left（{m^{m^{\ rm max}}}} 10^{76} \ left（{m^{\ rm max}}/{m _ \ odot} \ right）^2 $，其中$ m^{\ rm max} $是特定模型的最大玻色恒星质量，$ m _ {\ rm pl} $是planck质量。因此，对于允许$ m^{\ rm max} \ gg m _ {\ rm pl} $的模型，对于具有质量$ $ \ sim m^{\ rm max max} $的解决方案，经典治疗是合法的，其中包括天体物理学有趣的范围$ \ gtrsim m_ \ gtrsim m_ \ odot $。
Because the Klein-Gordon and Proca equations involve $\hbar$, they describe quantum fields. Their solutions, however, may be treated as classical if their typical action obeys $S^{\rm typical}\gg \hbar$. This is possible due to their bosonic nature, allowing states with many particles. We show, by generic arguments, that the typical action for such bosonic stars is ${\mathcal{S}^{\rm typical}}/{\hbar}\gtrsim \left({M^{\rm max}}/{M_{\rm Pl}}\right)^2\sim 10^{76}\left({M^{\rm max}}/{M_\odot}\right)^2$, where $M^{\rm max}$ is the maximal bosonic star mass of the particular model and $M_{\rm Pl}$ is the Planck mass. Thus, for models allowing $M^{\rm max}\gg M_{\rm Pl}$ and for solutions with mass $\sim M^{\rm max}$, the classical treatment is legitimate, which includes masses in the astrophysical interesting range $\gtrsim M_\odot$.
