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Scaling limits of integrable quantum field theories

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JournalReviews in Mathematical Physics
DatePublished - Nov 2011
Issue number10
Volume23
Number of pages42
Pages (from-to)1115-1156
Original languageEnglish

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.

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