论文标题
Reissner-Nordström-Tangherlini溶液来自Graviton和光子发射过程
The Reissner-Nordström-Tangherlini solution from graviton and photon emission processes
论文作者
论文摘要
众所周知，一般相对论的规范量化导致了一种不可降低的理论，但是，这种理论借助有效的现场理论的现代工具，可以在低能量下定义明确。如今，新兴的是，从散射幅度的经典限制中恢复一般相对性似乎比实际解决爱因斯坦方程更有效。然后，该论文旨在探索最先进的策略，以从量子计算中恢复经典的引力可观察物，并将其应用它们以重建Reissner-Nordström-Tangherlini解决方案，这是对Reissner-Nordström的任意维度的概括，从经典的散布受过受过的受过电荷量表的经典限制。在论文的第一部分中，我们恢复了与理论对称性兼容的最通用能量有效的有效作用，然后我们讨论了可以从量子计算中获得后退经典的重力可观察物的经典限制。审查了从重力发射幅度提取经典贡献的最新技术，并将其应用于理论的背景，该理论也与电磁场耦合。由于差异在四个和五个维度上产生，因此定义非最小耦合至关重要，目的是取消这种奇异性并获得有限的结果。最后，在度量案例中使用的考虑因素用于通过光子发射过程的经典限制来恢复与黑洞溶液相关的电磁电位。同样在这种情况下，似乎必须重新归一化的分歧。最重要的结果之一是必须固定以消除两极的反处理在整个理论中是相同的。
It is known that the canonical quantization of general relativity leads to a non-renormalizable theory, which however with the modern tools of effective field theories it is possible to make well-defined at low energies. What is emerging nowadays is that recovering general relativity from the classical limit of scattering amplitudes seems more efficient than actually solve the Einstein equations. The thesis then aims to explore the state-of-the-art strategies to recover classical gravitational observables from quantum computations and apply them in order to reconstruct the Reissner-Nordström-Tangherlini solution, which is the generalization to arbitrary dimensions of the Reissner-Nordström one, from the classical limit of scattering amplitudes of charged scalars. In the first part of the thesis, we recover the most generic energy-ordered effective action which is compatible with the symmetries of the theory, and then we discuss the classical limit from which it is possible to obtain back classical gravitational observables out of quantum computations. The state-of-the-art techniques to extract the classical contributions out of graviton emission amplitudes are reviewed, and they are applied to the context of a theory which is also coupled to the electromagnetic field. Since divergences arise in four and five dimensions it is crucial to define non-minimal couplings with the purpose of canceling such singularities and obtaining finite results. In the end, the considerations employed in the metric case are used to recover the electromagnetic potential associated to the black hole solution through the classical limit of photon emission processes. Also in this case there appear divergences that have to be renormalized. One of the most important outcomes is that the counter-terms that have to be fixed in order to eliminate the poles are the same throughout the theory.
