论文标题
部分可观测时空混沌系统的无模型预测
Holographic $\mathrm{QCD}_{3}$ and Chern-Simons theory from anisotropic supergravity
论文作者
论文摘要
基于量规二元性，我们通过构建IIB超级GRAVITY中的各向异性黑色D3-桥解决方案来研究三维QCD（$ \ mathrm {QCD} _ {3} $）和Chern-Simons理论。通过执行双灯芯旋转和尺寸降低，可以获得变形的散装几何形状，该几何形状成为各向异性气泡构型，该气泡构型在双重理论中显示出限制。由于存在溶解的D7-BRANES或大量的轴突场，其各向异性也将其减少到Chern-Simons项。使用气泡几何形状，我们根据ADS/CFT词典中的标准方法研究了基态能量密度，夸克电势，纠缠熵和BARYON顶点。我们的计算表明，基态能量说明了与Chern-Simons耦合系数退化，该系数与仪表Chern-Simons理论的特性一致。夸克张力，纠缠熵和baryon顶点的嵌入的行为进一步暗示着强烈的各向异性可能会破坏限制。之后，我们还将各种D7-Branes作为风味和Chern-Simons Branes引入，以在双重理论中包括基本问题和有效的Chern-Simons水平。通过计算其方向，我们最终获得了双重理论中的相关拓扑阶段，以及相变的临界质量。有趣的是，临界质量的公式揭示了可能与手性对称性有关的风味对称性，如果各向异性大大增加，则将恢复。因此，由于所有分析都与夸克 - 格鲁隆等离子体的特征一致，因此我们认为我们的框架提供了一种出色的方法来理解Chern-Simons理论的特征，强耦合核物质及其与各向异性的解剖条件。
Based on the gauge-gravity duality, we study the three-dimensional QCD ($\mathrm{QCD}_{3}$) and Chern-Simons theory by constructing the anisotropic black D3-brane solution in IIB supergravity. The deformed bulk geometry is obtained by performing a double Wick rotation and dimension reduction which becomes an anisotropic bubble configuration exhibiting confinement in the dual theory. And its anisotropy also reduces to a Chern-Simons term due to the presence of the dissolved D7-branes or the axion field in bulk. Using the bubble geometry, we investigate the the ground-state energy density, quark potential, entanglement entropy and the baryon vertex according to the standard methods in the AdS/CFT dictionary. Our calculation shows that the ground-state energy illustrates degenerate to the Chern-Simons coupling coefficient which is in agreement with the properties of the gauge Chern-Simons theory. The behavior of the quark tension, entanglement entropy and the embedding of the baryon vertex further implies strong anisotropy may destroy the confinement. Afterwards, we additionally introduce various D7-branes as flavor and Chern-Simons branes to include the fundamental matter and effective Chern-Simons level in the dual theory. By counting their orientation, we finally obtain the associated topological phase in the dual theory and the critical mass for the phase transition. Interestingly the formula of the critical mass reveals the flavor symmetry, which may relate to the chiral symmetry, would be restored if the anisotropy increases greatly. As all of the analysis is consistent with characteristics of quark-gluon plasma, we therefore believe our framework provides a remarkable way to understand the features of Chern-Simons theory, the strong coupled nuclear matter and its deconfinement condition with anisotropy.
