论文标题
质子系统的页面熵在小弹性散布中,小$ x $
Page Entropy of Proton System in Deep-Inelastic-Scattering at Small-$x$
论文作者
论文摘要
Partons模型揭示了核子(质子和中子)的动力结构。与热力学量相关的核子的研究是有趣和局部问题。在这项工作中,我们第一次应用页面的黑洞研究理论来研究质子系统的熵。受到黑洞信息理论中量子纠缠熵的启发,我们以相似的方式建立了质子纠缠。基于我们的计算,质子纠缠熵具有近似形式的$ s = \ ln m -1/2 $,其中$ m $代表小bjorken $ x $的质子的partons密度(主要是gluon和sea夸克贡献)。我们使用Page理论的计算与H1协作的最新测量结果一致。
The partons model reveals the dynamical structure of nucleons (protons and neutrons). Studies related to thermodynamic quantities of nucleons are interesting and topical questions. In this work, for the first time we apply Page's theory of the studies of black hole to investigate the entropy of proton system. Inspired by the quantum entanglement entropy in black hole information theories, we establish the proton entanglement with the similar way. Based our calculations, the proton entanglement entropy has the approximate form $S = \ln m -1/2$, where $m$ represents the partons density of proton (mainly gluon and sea quark contributions) at small Bjorken $x$. Our calculations using Page's theory are well in agreement with the recent DIS measurements from H1 collaboration.