Interacting massless excitations in 1+1 dimensional QFT

Wojciech Dybalski (Adam Mickiewicz University)

Tue May 17, 14:00-15:00 (2 weeks ago)

Abstract: Massless 1+1 dimensional quantum field theories have a peculiar scattering theory. Since the motion of the excitations is dispersionless, only the distinction between left-movers and right-movers is meaningful. Thus complete particle interpretation (asymptotic completeness) can be expected already at the level of two-body scattering. This effect will be illustrated by certain wedge-local models of interacting Wigner particles. In the second part of the talk I will move to the more exotic case of infraparticles, i.e., excitations which are not of Wigner type. It is known that infraparticles abound in 1+1 massless QFT, even in the familiar case of free field theory. A natural definition of a scattering amplitude for infraparticles will be proposed and tested in this latter model. Paradoxically, infraparticles in free field theory exhibit non-trivial scattering.

The talk is based on joint works with Yoh Tanimoto (CMP 305, 427-440 (2011)) and Jens Mund (arXiv:2109.02128).

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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Organizers: Jan Dereziński, Marcello Porta*, Kasia Rejzner*, Hal Tasaki*
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