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Deformations of quantum field theories and integrable models

Lechner, Gandalf 2012. Deformations of quantum field theories and integrable models. Communications in Mathematical Physics 312 (1) , pp. 265-302. 10.1007/s00220-011-1390-y

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Abstract

Deformations of quantum field theories which preserve Poincaré covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an infinite class of explicit examples is constructed on the Borchers-Uhlmann algebra underlying Wightman quantum field theory. These deformations exist independently of the space-time dimension, and contain the recently studied warped convolution deformation as a special case. In the special case of two-dimensional Minkowski space, they can be used to deform free field theories to integrable models with non-trivial S-matrix.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer
ISSN: 0010-3616
Last Modified: 04 Jun 2017 08:09
URI: http://orca.cf.ac.uk/id/eprint/73594

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