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Asymptotic Completeness in a Class of Massless Relativistic Quantum Field Theories

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Abstract

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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Authors and Affiliations

  1. Zentrum Mathematik, Technische Universität München, D-85747, Garching, Germany

    Wojciech Dybalski

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 1, I–00133, Roma, Italy

    Yoh Tanimoto

Authors
  1. Wojciech Dybalski
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  2. Yoh Tanimoto
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Correspondence to Wojciech Dybalski.

Additional information

Communicated by Y. Kawahigashi

Supported by the DFG grant SP181/25-1.

Supported in part by the ERC Advanced Grant 227458 OACFT “Operator Algebras and Conformal Field Theory”.

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Dybalski, W., Tanimoto, Y. Asymptotic Completeness in a Class of Massless Relativistic Quantum Field Theories. Commun. Math. Phys. 305, 427–440 (2011). https://doi.org/10.1007/s00220-010-1173-x

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  • DOI: https://doi.org/10.1007/s00220-010-1173-x

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