截断Polyakov自举用于边界共形场论：Neumann-Dirichlet流与Ising特殊相变
Truncated Polyakov bootstrap for BCFTs: Neumann-Dirichlet flow and Ising special transition
浏览论文内容
中文总结 AI 辅助
将截断Polyakov自举推广至边界共形场论，通过GFF的Neumann-Dirichlet流识别非微扰解，并应用于三维Ising特殊相变，所得数据与格点结果高度吻合。
中文摘要 AI 辅助
我们将最近提出的截断Polyakov自举方法扩展到边界共形场论（BCFTs）。该形式利用解析泛函框架来寻找BCFT交叉方程的近似解。我们证明，一个一般的非微扰解可以通过将其与具有固定边界条件的广义自由场（GFF）周围的一族形变相关联来识别。我们通过追踪从具有Neumann边界条件的GFF到具有Dirichlet边界条件的GFF的BCFT数据流来证明这一点。随后，同样的方法被用于三维Ising特殊相变，利用微扰Wilson-Fisher描述作为形变来识别它。所获得的BCFT数据在现有格点结果可用的地方与之惊人地一致，在其他情况下则是新的。
英文摘要
We extend the recently proposed truncated Polyakov bootstrap to boundary conformal field theories (BCFTs). The formalism uses the analytic functional framework to find approximate solutions of BCFT crossing. We show that a generic nonperturbative solution can be identified by relating it to a family of deformations around generalized free fields (GFF) with a fixed boundary condition. We show this by tracking the flow of BCFT data from GFF with Neumann boundary condition to that with Dirichlet. The same method is then used for the 3d Ising special transition, using the perturbative Wilson-Fisher description as the deformation to identify it. The BCFT data obtained are in remarkable agreement with existing lattice results where available, and are otherwise new.
发表机构
- Indian Institute of Technology - Kanpur（坎普尔印度理工学院）
机构由 AI 辅助整理，请以论文原文为准。
