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Can anyone tell me what is the physical meaning of the image below (Hikami boxes)? (Especially the dashed line.)

Furthermore (and this is less important), why are these boxes needed for weak anti-localization calculation?

I have no formal training in QFT so I would love to understand it.

https://doi.org/10.1103/PhysRevB.92.241402 https://arxiv.org/abs/1507.06892

https://doi.org/10.1103/PhysRevB.92.241402

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