arXiv 2203.144892022-03hep-th

各向异性超引力的全息$\mathrm{QCD}_{3}$和Chern-Simons理论

Holographic $\mathrm{QCD}_{3}$ and Chern-Simons theory from anisotropic supergravity

Si-wen Li, Sen-kai Luo, Ya-qian Hu

备注：: 41pages, 11 figures, 3 tables, fix several typos and add more comments in this version
DOI：: 10.1007/JHEP06(2022)040

摘要：

基于规范-引力对偶性，通过构造IIB超引力下的各向异性黑D3膜解，研究了三维QCD（$\mathrm{QCD}_{3}$）和Chern-Simons理论.变形的散装几何形状是通过执行双芯旋转和降维，成为一个各向异性的气泡配置表现出限制在对偶理论。由于溶解的D 7-膜或体中的轴子场的存在，它的各向异性也减少到一个Chern-Simons项。利用气泡几何，我们按照AdS/CFT字典中的标准方法研究了基态能量密度、夸克势、纠缠熵和重子顶点.计算结果表明，基态能量简并为Chern-Simons耦合系数，这与规范Chern-Simons理论的性质一致。夸克张力、纠缠熵和重子顶点嵌入的行为进一步暗示了强各向异性可能破坏禁闭。之后，我们还引入了各种D 7-膜作为味膜和Chern-Simons膜，以包含对偶理论中的基本物质和有效Chern-Simons能级。通过计算它们的取向，我们最终得到了对偶理论中的关联拓扑相和相变的临界质量。有趣的是，临界质量的公式揭示了味对称性，这可能与手征对称性，将恢复，如果各向异性大大增加。由于所有的分析都符合夸克-胶子等离子体的特征，因此我们相信我们的框架为理解Chern-Simons理论的特征，强耦合核物质及其各向异性的解除禁闭条件提供了一个很好的途径.

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文