Algebraic constructive quantum field theory: Integrable models and deformation techniques

Lechner G (2015)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2015

Publisher: Springer International Publishing

Edited Volumes: Advances in Algebraic Quantum Field Theory

Series: Mathematical Physics Studies

ISBN: 9783319213538

DOI: 10.1007/978-3-319-21353-8_10

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.

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APA:

Lechner, G. (2015). Algebraic constructive quantum field theory: Integrable models and deformation techniques. In Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, Jakob Yngvason (Eds.), Advances in Algebraic Quantum Field Theory. Springer International Publishing.

MLA:

Lechner, Gandalf. "Algebraic constructive quantum field theory: Integrable models and deformation techniques." Advances in Algebraic Quantum Field Theory. Ed. Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, Jakob Yngvason, Springer International Publishing, 2015.

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