论文标题

自动产生的引导方程,用于关键现象的数值研究

An Automated Generation of Bootstrap Equations for Numerical Study of Critical Phenomena

论文作者

Go, Mocho

论文摘要

在本文中,我们引入了用于保形的引导,Autoboot和Qboot的新工具。每个工具都解决了整个计算堆栈中的一个不同步骤,并与解决半决赛编程(SDP)的现有有效工具SDPB相结合,我们的工具使使用更复杂的全球对称性和更通用的光谱更容易研究保形场理论。在引言中,我们回顾了在重新归一化组的固定点或换句话说,诸如临界模型之类的关键现象在固定点的固定点或关键现象中如何提供有关该理论的丰富信息。以下三个部分着重于实施Autoboot和Qboot的理论,以及在https://github.com/selpog/autoboot/ and https://github.com/selpog/qboot/上免费获得的显式实施,在第5节中讨论了两个dimers and dimers and dimers and section and ins of seption and seption and seption and sotecter,并在三个dimers中(sote)。他们与现实世界中的物理系统有着密切的关系。

In this thesis, we introduce new tools for the conformal bootstrap, autoboot and qboot. Each tool solves a different step in the whole computational stack, and combined with an existing efficient tool SDPB which solves semidefinite programming (SDP), our tools make it easier to study conformal field theories with more complicated global symmetries and with more general spectra. In the introduction, we review how the conformal bootstrap method gives rich information about the theory at the fixed point of renormalization group, or in other words, the critical phenomena such as the Ising model at criticality. The following three sections focus on the theories behind the implementation of autoboot and qboot, and the explicit implementation, freely available at https://github.com/selpoG/autoboot/ and https://github.com/selpoG/qboot/, is discussed in section 5. We also have two applications in the last section, the Ising model and the O(2) vector model in three dimensions, each of them has close relationship with a physical system in the real world.

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