Wedge local deformations of charged fields leading to anyonic commutation relations
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Publication:353350
DOI10.1007/s11005-013-0607-8zbMath1269.81077arXiv1208.6141OpenAlexW3099241986MaRDI QIDQ353350
Publication date: 12 July 2013
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.6141
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Braid groups; Artin groups (20F36) Axiomatic quantum field theory; operator algebras (81T05)
Related Items (4)
Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ Localization in nets of standard spaces ⋮ Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques ⋮ Local anyonic quantum fields on the circle leading to cone-local anyons in two dimensions
Cites Work
- Deformations of quantum field theories and integrable models
- Noncommutative deformations of Wightman quantum field theories
- Wedge-local quantum fields and noncommutative Minkowski space
- The spin-statistics theorem for anyons and plektons in \(d = 2+1\)
- Construction of quantum field theories with factorizing S-matrices
- No-go theorem for `free' relativistic anyons in \(d=2+1\)
- Polarization-free quantum fields and interaction
- Braid group statistics implies scattering in three-dimensional local quantum physics
- Deformations of fermionic quantum field theories and integrable models
- Irreducible unitary representations of the Lorentz group
- Modular localization of massive particles with “any” spin in d=2+1
- Polarization-free generators and the \(S\)-matrix
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