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arXiv · 1608.07837

Wedge-local fields in interacting quantum field theories with bound states

Daniela Cadamuro
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Abstract

In the context of constructing interacting quantum field theories in the operator-algebraic approach, wedge-local fields play an important role. After the work of Lechner to construct factorizing scattering matrix models with scalar S-matrices without bound states, we recently extended this construction to a class of models with a richer particle spectrum and which are believed to have bound states. These include the Z(N)-Ising model and the affine-Toda field theories. This construction is done by exhibiting wedge-local fields which arise as a deformation of Lechner's fields with the so called "bound state operator". I will review the main passages of this construction and explain the open problems.

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Daniela Cadamuro. 2016-08-28. Wedge-local fields in interacting quantum field theories with bound states. https://arxiv.org/abs/1608.07837

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