论文标题
Weyl异常诱导的费米冷凝
Fermi Condensation induced by Weyl Anomaly
论文作者
论文摘要
费米冷凝通常是密切相关系统的现象。在这封信中，我们指出了由于韦伊尔异常引起的狄拉克费米斯凝结的一种新型机制。凝结具有其物理起源，这是费米昂真空对背景时空变化（边界位置或背景度量）的变化的非平凡响应的，并且当打开背景标量字段时，可以感觉到。标量场可以是基本理论中的希格斯字段，也可以是冷凝物质系统中的声子。对于具有边界的时空，诱导的费米冷凝水与距边界的适当距离成反比。对于没有边界的连形时空，费米的凝结取决于共形因子及其衍生物。我们还概括了将费米冷凝物与狄拉克运算符的零模式密度与本地形式相关联的银行施工关系。由于其普遍的性质，这种异常引起的费米冷凝水可以预期在物理学中具有广泛的应用。
Fermi condensation is usually a phenomena of strongly correlated system. In this letter, we point out a novel mechanism for condensation of Dirac fermions due to Weyl anomaly. The condensation has its physical origin in the nontrivial response of the fermion vacuum to changes in the background spacetime (either boundary location or the background metric), and can be felt when a background scalar field is turned on. The scalar field can be, for example, the Higgs field in a fundamental theory or the phonon in condensed matter system. For a spacetime with boundaries, the induced Fermi condensate is inversely proportional to the proper distance from the boundary. For a conformally flat spacetime without boundaries, Fermi condensation depends on the conformal factor and its derivatives. We also generalize the Banks-Casher relation which relates the Fermi condensate to the zero mode density of the Dirac operator to a local form. Due to its universal nature, this anomaly induced Fermi condensate can be expected to have a wide range of applications in physics.
