论文标题

雪质白皮书:分析性的bootstrap

Snowmass White Paper: The Analytic Conformal Bootstrap

论文作者

Hartman, Thomas, Mazac, Dalimil, Simmons-Duffin, David, Zhiboedov, Alexander

论文摘要

分析保形的引导程序是一系列技术,用于表征,约束和求解强烈相互作用的量子场理论,使用对称性,因果关系,单位性和其他一般原则。在过去的十年中,随着新洛伦兹方法的发展,它已被用来求解大型自旋的共形场理论。要在能量分布,事件形状,操作员产品系数和其他观察物上限制;并了解反DE保姆空间中量子重力的各个方面。我们回顾了这些进步,并重点介绍了未来探索的几个有希望的领域。目标包括开发新的方法来缩小数值和分析界限之间的差距,将引导程序扩展到共形固定点之外,对量子重力和宇宙学应用程序的应用以及与凝结物质理论和数学的联系建立。

The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity, and other general principles. In the last decade, bolstered by the development of new Lorentzian methods, it has been used to solve conformal field theories at large spin; to place bounds on energy distributions, event shapes, operator product coefficients, and other observables; and to understand aspects of quantum gravity in anti-de Sitter space. We review these advances and highlight several promising areas for future exploration. Targets include developing new methods to close the gap between numerical and analytic bounds, extending the bootstrap beyond conformal fixed points, applications to quantum gravity and cosmology, and building on ties to condensed matter theory and mathematics.

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