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Algebraic constructive quantum field theory: Integrable models and deformation techniques

Lechner, Gandalf 2015. Algebraic constructive quantum field theory: Integrable models and deformation techniques. In: Brunetti, Romeo, Dappiaggi, Claudio, Fredenhagen, Klaus and Yngvason, Jakob eds. Advances in Algebraic Quantum Field Theory, Springer, pp. 397-448.

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Abstract

Several related operator-algebraic 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 two-dimensional Minkowski space, and iii) the warped convolution deformation of QFT models in arbitrary dimension, inspired from non-commutative Minkowski space.

Item Type: Book Section
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer
ISBN: 9783319213521
Related URLs:
Date of First Compliant Deposit: 30 March 2016
Last Modified: 04 Jun 2017 08:23
URI: http://orca.cf.ac.uk/id/eprint/77035

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