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Interacting massless infraparticles in 1+1 dimensions

Published 5 Sep 2021 in math-ph and math.MP | (2109.02128v1)

Abstract: The Buchholz' scattering theory of waves in two dimensional massless models suggests a natural definition of a scattering amplitude. We compute such a scattering amplitude for charged infraparticles that live in the GNS representation of the 2$d$ massless scalar free field and obtain a non-trivial result. It turns out that these excitations exchange phases, depending on their charges, when they collide.

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