Algebraic constructive quantum field theory: Integrable models and deformation techniques
Abstract
Several related operatoralgebraic constructions for quantum field theory models on Minkowski spacetime are reviewed. The common theme of these constructions is that of a Borchers triple, capturing the structure of observables localized in a Rindler wedge. After reviewing the abstract setting, we discuss in this framework i) the construction of free field theories from standard pairs, ii) the inverse scattering construction of integrable QFT models on twodimensional Minkowski space, and iii) the warped convolution deformation of QFT models in arbitrary dimension, inspired from noncommutative Minkowski space.
 Publication:

arXiv eprints
 Pub Date:
 March 2015
 arXiv:
 arXiv:1503.03822
 Bibcode:
 2015arXiv150303822L
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Operator Algebras
 EPrint:
 Review article, 57 pages, 3 figures