On the equivalence of two deformation schemes in quantum field theory

DOI10.1007/s11005-012-0599-9zbMath1268.81132arXiv1209.2547OpenAlexW3099967664WikidataQ59302462 ScholiaQ59302462MaRDI QIDQ2377389

Gandalf Lechner, Yoh Tanimoto, Jan Schlemmer

Publication date: 28 June 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2547

zbMATH Keywords

two-dimensional modelsmodular theorydeformations of quantum field theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Axiomatic quantum field theory; operator algebras (81T05)

Related Items

Self-adjointness of deformed unbounded operators ⋮ Wedge-local observables for factorizing S-matrix with gap in the coupling constant ⋮ Wedge-local fields in integrable models with bound states ⋮ Wedge-local fields in integrable models with bound states. II: Diagonal S-matrix ⋮ Quantum mechanical effects from deformation theory ⋮ Integrable QFT and Longo-Witten endomorphisms ⋮ Localization in nets of standard spaces ⋮ Algebraic Conformal Quantum Field Theory in Perspective ⋮ Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques ⋮ Strict deformations of quantum field theory in de Sitter spacetime ⋮ Deformations of half-sided modular inclusions and non-local chiral field theories ⋮ CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS

Cites Work

• Unnamed Item
• Unnamed Item
• Deformations of quantum field theories and integrable models
• Boundary quantum field theory on the interior of the Lorentz hyperboloid
• Wedge-local quantum fields and noncommutative Minkowski space
• Noninteraction of waves in two-dimensional conformal field theory
• Construction of wedge-local nets of observables through Longo-Witten endomorphisms
• An algebraic construction of boundary quantum field theory
• Warped convolutions, Rieffel deformations and the construction of quantum field theories
• Asymptotic completeness in a class of massless relativistic quantum field theories
• Modular nuclearity and localization
• Construction of quantum field theories with factorizing S-matrices
• The CPT-theorem in two-dimensional theories of local observables
• Polarization-free quantum fields and interaction
• Theory of operator algebras. II
• Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II
• Deformations of fermionic quantum field theories and integrable models
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Deformations of quantum field theories on de Sitter spacetime
• Wedge-local quantum fields on a nonconstant noncommutative spacetime
• SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES
• Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories