论文标题
壳上电磁二元性和双重重力
On-Shell Electric-Magnetic Duality and the Dual Graviton
论文作者
论文摘要
使用壳上振幅方法，我们探索了4维电磁二元性及其双重副本。我们明确地表明，壳散射振幅知道“双重”光子（和双重引力），即脱壳光子传播剂双复制引力传播器，并且传播器的磁性部分对于双副本保持至关重要。我们还表明，重力传播剂有等效的重力 - 磁性部分，这对于产生具有角动量或螺母电荷的溶液至关重要。此外，我们对所谓的温伯格悖论发表评论，该悖论指出，涉及电气和磁性单极混合的散射幅度不能成为洛伦兹的不变，并且似乎排除了't Hooft-polyakov（拓扑）单声道的存在。我们将此悖论追溯到繁殖器的磁部分，表明如果限制了适当的正面洛伦兹变换，则可以消除它。最后，我们使用最近配制的壳双重性转换计算任意自旋对起的完全相对论横截面，并表明这始终是完全不变的。
Using on-shell amplitude methods, we explore 4-dimensional Electric-Magnetic duality and its double copy. We show explicitly that the on-shell scattering amplitudes know about `dual' photons (and dual gravitons), that the off-shell photon propagator double copies to the graviton propagator and that the magnetic part of the propagator is essential for the double copy to hold. We also show that there is an equivalent gravito-magnetic part of the graviton propagator which is essential in giving rise to solutions with either angular momentum or NUT charge. Furthermore, we comment on the so-called Weinberg paradox, which states that scattering amplitudes involving the mixing of electric and magnetic monopoles cannot be Lorentz invariant, and would seem to preclude the existence of the 't Hooft-Polyakov (topological) monopole. We trace this paradox to the magnetic part of the propagator, showing that it can be eliminated if one restricts to proper orthochronous Lorentz transformations. Finally, we compute the fully relativistic cross-section for arbitrary spin dyons using the recently formulated on-shell duality transformation and show that this is always fully Lorentz invariant.
