Deformations of quantum field theories and integrable models
arXiv:1104.1948 · doi:10.1007/s00220-011-1390-y
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.
36 pages, no figures: Minor changes and corrections in Section 3. Added new Section 5 on von Neumann algebraic formulation, and modular structure
References in corpus (8)
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Cited by in corpus (17)
- An operator expansion for integrable quantum field theories
- Localization and Entanglement in Relativistic Quantum Physics
- Wedge-local fields in integrable models with bound states
- Modular Structure and Inclusions of Twisted Araki-Woods Algebras
- Construction of two-dimensional quantum field models through Longo-Witten endomorphisms
- Quantum Mechanical Effects from Deformation Theory
- On the equivalence of two deformation schemes in quantum field theory
- The Ongoing Impact of Modular Localization on Particle Theory
- Wedge locality and asymptotic commutativity
- Braid group statistics implies scattering in three-dimensional local quantum physics
- Self-Adjointness of Deformed Unbounded Operators
- Deformations of half-sided modular inclusions and non-local chiral field theories
- Wedge Local Deformations of Charged Fields leading to Anyonic Commutation Relations
- Wedge-local fields in integrable models with bound states II. Diagonal S-matrix
- Strict deformations of quantum field theory in de Sitter spacetime
- Bound state operators and wedge-locality in integrable quantum field theories
- Local Quantum Fields for Anyons on the Circle leading to Non-Relativistic Anyons in Two Dimensions