Wedge-local fields in interacting quantum field theories with bound states
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.
Cite
@article{arxiv.1608.07837,
title = {Wedge-local fields in interacting quantum field theories with bound states},
author = {Daniela Cadamuro},
journal= {arXiv preprint arXiv:1608.07837},
year = {2016}
}
Comments
Corrected a journal reference. Submitted to the Report of the Oberwolfach Conference 1630 "Recent Mathematical Developments in Quantum Field Theory", 24 July - 30 July 2016; 4 pages