论文标题
Weyl异常引起的费米凝结和全息图
Weyl Anomaly induced Fermi Condensation and Holography
论文作者
论文摘要
最近发现，由于Weyl异常，背景标量场诱导了与Yukawa耦合的理论的非平凡的费米凝结。为简单起见，本文仅考虑标量型Yukawa耦合，而在BCFT情况下，仅考虑特定边界条件。在这些情况下，Weyl异常采用简单的特殊形式。在本文中，我们将结果推广到更普遍的情况。首先，由于背景标量和伪标量场在一般4D BCFT中，我们获得了Weyl异常的一般表达。然后，我们从Weyl异常中得出费米冷凝的一般形式。值得注意的是，即使没有非变化的标量场背景，费米凝结也不为零。最后，我们通过Yukawa耦合到标量和伪量表背景潜力，并具有一般手性袋边界条件和全息bcft，并通过Yukawa耦合与标量和伪刻录背景势验证结果。特别是，我们从全息图一点点函数中获得了费米冷凝物的形状和曲率依赖性。
Recently it is found that, due to Weyl anomaly, a background scalar field induces a non-trivial Fermi condensation for theories with Yukawa couplings. For simplicity, the paper consider only scalar type Yukawa coupling and, in the BCFT case, only for a specific boundary condition. In these cases, the Weyl anomaly takes on a simple special form. In this paper, we generalize the results to more general situations. First, we obtain general expressions of Weyl anomaly due to a background scalar and pseudo scalar field in general 4d BCFTs. Then, we derive the general form of Fermi condensation from the Weyl anomaly. It is remarkable that, in general, Fermi condensation is non-zero even if there was not a non-vanishing scalar field background. Finally, we verify our results with free BCFT with Yukawa coupling to scalar and pseudo-scalar background potential with general chiral bag boundary condition and with holographic BCFT. In particular, we obtain the shape and curvature dependence of the Fermi condensate from the holographic one point function.
