Asymptotic completeness in a class of massless relativistic quantum field theories

Details Asymptotic completeness in a class of massless relativistic quantum field theories Asymptotic completeness in a class of massless relativistic quantum field theories

2010-06-28

arxiv.org/abs/1006.5430v2

Commun.Math.Phys.305:427-440,2011

Physics

Mathematical Physics

15 pages, LaTeX. As appeared in Communications in Mathematical Physics

Scientific paper

10.1007/s00220-010-1173-x

This paper presents the first examples of massless relativistic quantum field theories which are interacting and asymptotically complete. These two-dimensional theories are obtained by an application of a deformation procedure, introduced recently by Grosse and Lechner, to chiral conformal quantum field theories. The resulting models may not be strictly local, but they contain observables localized in spacelike wedges. It is shown that the scattering theory for waves in two dimensions, due to Buchholz, is still valid under these weaker assumptions. The concepts of interaction and asymptotic completeness, provided by this theory, are adopted in the present investigation.

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