论文标题

IR有限的S-Matrix由仪表不变的状态

IR finite S-matrix by gauge invariant dressed states

论文作者

Hirai, Hayato, Sugishita, Sotaro

论文摘要

提议穿着衣服状态定义红外线(IR)有限的$ S $ -Matrix或重力。我们表明,原始的Kulish-Faddeev装扮状态不足以治愈IR分歧。为了说明这个问题,我们考虑使用背景电流(Wilson Lines)。该理论是可以解决的,但具有与完整QED相同的IR问题。我们表明,天真的渐近状态导致$ S $ -Matrix的IR分歧,并且即使我们添加了原始的Kulish-Faddeev敷料操作员,也与渐近的对称性持续不一致。然后,我们提出了与渐近对称性一致的新衣服状态。我们表明,穿着状态的$ S $ -MATRIX是IR有限的。我们终于得出结论,适当穿着的渐近状态在完整的QED中定义了IR有限的$ S $ -Matrix。

Dressed states were proposed to define the infrared (IR) finite $S$-matrix in QED or gravity. We show that the original Kulish-Faddeev dressed states are not enough to cure the IR divergences. To illustrate this problem, we consider QED with background currents (Wilson lines). This theory is exactly solvable but shares the same IR problems as the full QED. We show that naive asymptotic states lead to IR divergences in the $S$-matrix and are also inconsistent with the asymptotic symmetry, even if we add the original Kulish-Faddeev dressing operators. We then propose new dressed states which are consistent with the asymptotic symmetry. We show that the $S$-matrix for the dressed states is IR finite. We finally conclude that appropriate dressed asymptotic states define the IR finite $S$-matrix in the full QED.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源