AI 中文总结
本文利用模糊球面与截断共形空间方法研究球面上Ising场论的磁形变,提取普适量并发现小结合能束缚态,通过不同角动量扇区验证一致性。
AI 中文摘要
我们研究了$(2+1)$维Ising共形场论(即Ising场论,IFT)在空间球面上的磁形变。我们采用模糊球面(FS)Ising设置,并将其与截断共形空间方法(TCSA)进行比较。通过模拟曲率效应(正如球面上局部有效理论所预期的那样),我们提取了普适的、无限体积的IFT量。我们发现证据表明IFT包含一个具有小结合能的束缚态。局域性还使我们能够从不同的角动量扇区提取相同的IFT量,从而提供额外的一致性检验。
英文摘要
We study the magnetic deformation of the $(2+1)$d Ising CFT, also known as Ising Field Theory (IFT), on a spatial sphere. We use the Fuzzy Sphere (FS) Ising setup and compare it to the Truncated Conformal Space Approach (TCSA). Universal, infinite volume, IFT quantities are extracted by modeling the effects of curvature, as expected from a local effective theory on the sphere. We find evidence that IFT contains a bound-state with a small binding energy. Locality also allows us to extract the same IFT quantities from different angular momentum sectors, providing additional consistency checks.
Comments38 pages, 21 figures, 2 tables