Massive Double Copy in 3 Spacetime Dimensions

3个时空维度的大规模双重复制

• 批准号: 2890775
• 金额: --
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2890775
• 关键词: Massive; Double; Copy; Spacetime; Dimensions

Double copy initially related massless Yang-Mills and gravitational amplitudes, greatly simplifying the latter. Since then, it has exceeded this particular result and has enabled to construct a larger web of theories (including the zeroth copy as well). It was also shown to hold classically (with for instance an electric charge corresponding to a Schwarzschild spacetime). The extension to the massive case was recently initiated, showing that the double copy of massive gauge fields is not in general physical (although it is at least consistent as the colour-kinematics duality is respected). However, in the case of 3 spacetime dimensions, it was shown that the double copy of topologically massive Yang-Mills was indeed physical up to 5 points, leading to topologically massive gravity. Indeed, it was found that by requiring that one BCJ relation is satisfied, spurious poles can be avoided. This result is expected to hold more generally for all higher-point amplitudes and non-perturbative solutions as in the original massless Yang-Mills and gravity case. This thesis will be devoted to exploring these directions in more depth.

双副本最初将无质量杨米尔斯和引力振幅联系起来，极大地简化了后者。从那时起，它已经超越了这个特定的结果，并能够构建一个更大的理论网络（也包括第零个副本）。它也被证明是经典的（例如，电荷对应于史瓦西时空）。最近开始对大型案例进行扩展，表明大型规范场的双重副本在一般情况下并不是物理的（尽管它至少是一致的，因为尊重了颜色运动学二元性）。然而，在3个时空维度的情况下，结果表明，拓扑质量杨米尔斯的双重副本确实具有高达5个点的物理性，从而导致拓扑质量引力。事实上，我们发现，通过要求满足一个 BCJ 关系，可以避免杂散极点。预计该结果对于所有较高点振幅和非微扰解都适用，就像在原始无质量杨米尔斯和重力情况下一样。本论文将致力于更深入地探索这些方向。