Scaling limits of integrable quantum field theories

Abstract

Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is shown that massless scaling limit theories exist, and decompose into (twisted) tensor products of chiral, translation-dilation covariant field theories. On the subspace which is generated from the vacuum by the observables localized in finite light ray intervals, this symmetry can be extended to the Möbius group. The structure of the interval-localized algebras in the chiral models is discussed in two explicit examples.

Revised version: erased typos, improved formulations, and corrections of Lemma 4.8/Prop. 4.9. As published in RMP. 43 pages, 1 figure

References in corpus (3)

• An Algebraic Construction of Boundary Quantum Field Theory
• Asymptotic completeness in a class of massless relativistic quantum field theories
• Scaling algebras and pointlike fields: A nonperturbative approach to renormalization

Cited by in corpus (11)

• Quantum Energy Inequality for the Massive Ising Model
• Characterization of local observables in integrable quantum field theories
• Integrable QFT and Longo-Witten endomorphisms
• An operator expansion for integrable quantum field theories
• Modular operator for null plane algebras in free fields
• On the equivalence of two deformation schemes in quantum field theory
• Causality and dispersion relations and the role of the S-matrix in the ongoing research
• Deformations of half-sided modular inclusions and non-local chiral field theories
• SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence
• Quantum energy inequalities in integrable models with several particle species and bound states
• Fock representations of Zamolodchikov algebras and R-matrices