Twistors and Quantum Field Theory: Strong fields, holography and beyond

扭量和量子场论：强场、全息术及其他

• 批准号: EP/Z000157/1
• 负责人: Timothy Adamo
• 金额: $ 162.74万
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2024
• 资助国家: 英国
• 起止时间: 2024 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FZ000157%2F1
• 关键词: Twistors; Quantum; Field; Theory; Strong

This proposal concerns new strategies for the study of quantum field theory (QFT) in non-perturbative settings. There are complementary experimental and theoretical incentives for pushing QFT beyond standard perturbation theory around a trivial vacuum. Upcoming experiments will probe strong field effects from quantum electrodynamics to gravity, and proposals for extending the holographic principle to asymptotically flat spacetimes require detailed knowledge of QFT beyond Minkowski space. The fundamental quantity underlying these twin imperatives is the S-matrix: the operator encoding the scattering of asymptotic states.Unfortunately, the vast majority of techniques employed in modern approaches to the S-matrix break down as soon as strong background fields or spacetime curvature are introduced. A crucial exception to this is provided by twistor theory, a framework encoding physics in terms of complex geometry. My recent work has demonstrated that twistor theory can deliver precision frontier calculations in strong field QFT and is intimately connected with approaches to asymptotically flat holography. These breakthroughs open the door on new approaches to QFT in strong backgrounds and holography in asymptotically flat spacetimes, as well as pushing twistor theory itself in novel directions. The team will deliver state-of-the-art calculations for scattering amplitudes and physical observables (both classical and quantum) in strong gauge and gravitational backgrounds including plane waves, beams, instantons and black holes, directly linked to detection targets at current or upcoming experiments. We will provide detailed bottom-up data for holography in asymptotically flat spacetimes, as well as using conformal and holomorphic field theory methods to create top-down models for the boundary dual. In parallel, we will develop new applications for twistor theory in its own right, in higher-spin theories, higher-dimensions and algebraic geometry.

该提案涉及在非扰动环境中研究量子场理论（QFT）的新策略。有互补的实验和理论激励措施将QFT推向围绕微不足道的真空而超越标准扰动理论。即将进行的实验将探测从量子电动力学到重力的强大野外影响，并提出将全息原理扩展到渐近平坦的空间的建议，需要对Minkowski空间以外的QFT进行详细了解。这些双胞胎命令的基本数量是S-Matrix：编码渐近状态散射的操作员。不幸的是，一旦引入了强大的背景场或空间固定率，现代方法中使用的绝大多数技术就会破裂。 Twistor理论提供了一个至关重要的例外，这是一个以复杂几何形状来编码物理的框架。我最近的工作表明，Twistor理论可以在强场QFT中提供精确的边界计算，并且与渐近平坦全息图的方法密切相关。这些突破在QFT的新方法和渐近平坦的空间中的新方法上打开了大门，并将扭曲理论本身推向了新颖的方向。该团队将在强量表和引力背景中提供用于散射幅度和物理可观察物（经典和量子）的最先进的计算，包括平面波，梁，激发，激孔，激孔和黑洞，与当前或即将实验的检测目标直接链接。我们将在渐近平坦的空间中为全息图提供详细的自下而上数据，并使用共形和霍明型野外理论方法为边界二重要的自上而下模型创建自上而下的模型。同时，我们将以高型理论，更高维度和代数几何形状本身为扭曲理论开发新的应用程序。