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Deformations of Quantum Field Theories and Integrable Models

Deformations of Quantum Field Theories and Integrable Models 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematical Physics Springer Journals

Deformations of Quantum Field Theories and Integrable Models

Communications in Mathematical Physics , Volume 312 (1) – Dec 3, 2011

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References (57)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer-Verlag
Subject
Physics; Statistical Physics, Dynamical Systems and Complexity; Quantum Physics; Mathematical Physics; Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory
ISSN
0010-3616
eISSN
1432-0916
DOI
10.1007/s00220-011-1390-y
Publisher site
See Article on Publisher Site

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.

Journal

Communications in Mathematical PhysicsSpringer Journals

Published: Dec 3, 2011

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