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
基本信息
- 批准号:EP/Z000157/1
- 负责人:
- 金额:$ 162.74万
- 依托单位:
- 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:
- 关键词:
项目摘要
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.
这一建议涉及在非微扰环境中研究量子场论(QFT)的新策略。有互补的实验和理论激励推动QFT超越标准微扰理论周围的平凡真空。即将到来的实验将探测从量子电动力学到引力的强场效应,而将全息原理扩展到渐近平坦时空的提议需要对闵可夫斯基空间之外的QFT有详细的了解。作为这两个规则基础的基本量是S-矩阵:描述渐近态散射的算符,不幸的是,现代S-矩阵方法中使用的绝大多数技术一旦引入强背景场或时空曲率就失效了。扭量理论提供了一个重要的例外,它是一个用复杂几何学来编码物理学的框架。我最近的工作表明,扭量理论可以在强场QFT中提供精确的前沿计算,并且与渐近平坦全息的方法密切相关。这些突破为强背景下的量子场论和渐近平坦时空中的全息术开辟了新途径,同时也将扭量理论本身推向了新的方向。该团队将在强规范和引力背景下提供最先进的散射振幅和物理可观测量(经典和量子)计算,包括平面波,光束,瞬子和黑洞,直接与当前或即将进行的实验中的检测目标相关。我们将提供详细的自下而上的数据全息在渐近平坦的时空,以及使用共形和全纯场论的方法来创建自上而下的模型的边界对偶。与此同时,我们也将发展扭量理论在高自旋理论、高维数和代数几何中的新应用。
项目成果
期刊论文数量(0)
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会议论文数量(0)
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Timothy Adamo其他文献
Timothy Adamo的其他文献
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