论文标题
来自本地超对称$ {\ cal n} = 1 $旋转粒子的穿着的狄拉克传播器
Dressed Dirac Propagator from a Locally Supersymmetric ${\cal N}=1$ Spinning Particle
论文作者
论文摘要
我们通过全球方法研究了由任意数字$ n $光子打扮的狄拉克传播器，该方法利用了线上的超对称$ {\ cal n} = 1 $旋转粒子模型，并耦合到外部的Abelian Vector Field。我们获得了一个紧凑的外壳主配方，用于与衣服的狄拉克传播器相关的树级散射幅度。特别是，与其他方法不同，我们使用连贯的状态来表达粒子费米子的自由度，并考虑对超对称性的测量，最终等于在世界上的重力模量上集成，除了常规的世界线Einbein Modulus，与Schwinger时间相对应。 Gravitino上不可或缺的路径重现了穿着的狄拉克传播器的分子。
We study the Dirac propagator dressed by an arbitrary number $N$ of photons by means of a worldline approach, which makes use of a supersymmetric ${\cal N} = 1$ spinning particle model on the line, coupled to an external Abelian vector field. We obtain a compact off-shell master formula for the tree level scattering amplitudes associated to the dressed Dirac propagator. In particular, unlike in other approaches, we express the particle fermionic degrees of freedom using a coherent state basis, and consider the gauging of the supersymmetry, which ultimately amounts to integrating over a worldline gravitino modulus, other than the usual worldline einbein modulus which corresponds to the Schwinger time integral. The path integral over the gravitino reproduces the numerator of the dressed Dirac propagator.
