论文标题
旋转世界量子场理论的经典双副本
Classical Double Copy of Spinning Worldline Quantum Field Theory
论文作者
论文摘要
我们研究了世界量子场理论（WQFT）形式主义中巨大旋转对象的经典双副本。我们将$ \ MATHCAL {N} = 1 $超对称模型与Yang-Mills背景相结合，以描述与胶子相互作用的旋转半粒子的传播。在经典级别，该模型捕获了物理效果，直至旋转中的线性顺序。我们提出了一个双复制关系，将自旋张量映射到引力侧。在双复制集成媒体上执行R-对称和超对称性（SUSY），我们发现重力理论是$ {\ cal n} = 2 $粒子与Dilaton-Gravity（DG）耦合。我们检查双复制处方的Eikonal阶段，直到近代领先顺序，并在耦合常数的领先顺序下进行辐射，发现WQFT中的Spin Tensor的Grassmann性质在与$ \ Mathcal {n} = 2 $模型中的直接计算中完全达成与直接计算有关的直接计算方面起着至关重要的作用。我们展示了如何变形自由理论的SUSY指控，以包括DG。由于约束代数是一流的，因此可以量化世界线模型，描述与文献一致的大规模矢量场的传播。此外，我们研究了双副本，而不保留Susy和R-Mysmemery，发现B场也与〜世界线搭配。
We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a spin-half particle interacting with gluons. At the classical level, this model captures physical effects up to linear order in spin. We propose a double copy relation to map the spin tensors to the gravitation side. Enforcing R-symmetry and supersymmetry (SUSY) on the double copy integrands, we find that the gravitational theory is the ${\cal N}=2$ particle coupled to dilaton-gravity (DG). We check the double copy prescription for the eikonal phase up to next-to-leading order and for radiation at leading order in coupling constants, finding that the Grassmann nature of the spin tensor in WQFT plays a crucial role in finding full agreement with direct calculation in the $\mathcal{N}=2$ model. We show how to deform the SUSY charges of the free theory to include DG. Since the constraints algebra is first class, the worldline model can be quantized, describing the propagation of a massive vector field coupled to DG, in agreement with the literature. In addition, we investigate the double copy without preserving SUSY and R-symmetry, finding that the B-field also couples to the~worldline.
