论文标题
非亚洲仪表理论中的协变相空间和软分子化
Covariant Phase Space and Soft Factorization in Non-Abelian Gauge Theories
论文作者
论文摘要
我们仔细研究了使用协方差相形形式主义在四维Minkowski时期中无质量非亚伯仪理论的红外部门，考虑了该理论规范部门产生的边界贡献。量化后，我们表明边界的贡献导致真空的无限变性。真空部门的希尔伯特空间不仅表现出非常简单，而且也很普遍。我们得出一个病房身份，该标识将两个通用的内在和外视态状态之间的N点振幅与标准QFT中计算的幅度相关联。此外，我们证明了熟悉的单一软gluon定理和多个连续的软gluon定理是病房身份的后果。
We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of the theory. Upon quantization, we show that the boundary contributions lead to an infinite degeneracy of the vacua. The Hilbert space of the vacuum sector is not only shown to be remarkably simple, but also universal. We derive a Ward identity that relates the n-point amplitude between two generic in- and out-vacuum states to the one computed in standard QFT. In addition, we demonstrate that the familiar single soft gluon theorem and multiple consecutive soft gluon theorem are consequences of the Ward identity.
