Rigorous Quantum Field Theory pp 175-197

Part of the Progress in Mathematics book series (PM, volume 251)

Towards the Construction of Quantum Field Theories from a Factorizing S-Matrix

  • Gandalf Lechner


Starting from a given factorizing S-matrix S in two space-time dimensions, we review a novel strategy to rigorously construct quantum field theories describing particles whose interaction is governed by S. The construction procedure is divided into two main steps: Firstly certain semi-local Wightman fields are introduced by means of Zamolodchikov’s algebra. The second step consists in proving the existence of local observables in these models. As a new result, an intermediate step in the existence problem is taken by proving the modular compactness condition for wedge algebras.


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Copyright information

© Birkhäuser Verlag 2007

Authors and Affiliations

  • Gandalf Lechner
    • 1
  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany

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