Simons Collaboration on the Nonperturbative Bootstrap
The Simons Collaboration on the Nonperturbative Bootstrap aims to map and understand the space of quantum field theories using general principles like symmetries and quantum mechanics, supported by the Simons Foundation.
Mission and Objectives
The Simons Collaboration on the Nonperturbative Bootstrap aims to map and understand the entire space of quantum field theories (QFTs), including models that are strongly coupled. By leveraging general principles, such as symmetries and quantum mechanics, the collaboration seeks to determine the space of QFTs comprehensively. The bootstrap strategy is central to this mission, emphasizing precise predictions for physical observables without relying on approximations.
Historical Background
The bootstrap idea, which plays a crucial role in the collaboration, originates from the S-matrix approach to the strong nuclear force developed in the 1960s. This historical method forms the foundation upon which new bootstrap techniques are built. These modern techniques have been pivotal in addressing a variety of complex problems in quantum field theory.
Key Research Areas
The collaboration applies new bootstrap techniques to diverse problems, including the 3d Ising model and strongly coupled theories that extend beyond the Standard Model of physics. The research focuses on breaking boundaries between string theory, condensed matter physics, and phenomenology. The team has also made significant contributions to classifying superconformal field theories and examining properties like locality and black hole thermality in quantum gravity models.
Interdisciplinary Connections
The Simons Collaboration on the Nonperturbative Bootstrap forges strong connections with modern mathematics and computer science. By integrating insights from these disciplines, the collaboration enhances its understanding of quantum field theories. This interdisciplinary approach is pivotal in achieving their goal of mapping the space of QFTs.
Support and Achievements
Supported by the Simons Foundation, the collaboration has performed the world's most precise analysis of the 3d Ising model. Their achievements extend to contributing significant advancements in the classification of superconformal field theories and in understanding quantum gravity models. This support underpins their ongoing research and development efforts.