An operator expansion for integrable quantum field theories

Henning Bostelmann, Daniela Cadamuro

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)

Abstract

A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local observables in these models remains largely unknown. Aiming for more insight into their structure, we establish a series expansion for observables, similar but not identical to the well-known form factor expansion. This expansion will be the basis for a characterization and explicit construction of local observables, to be discussed elsewhere. Here, we establish the expansion independent of the localization aspect, and analyze its behavior under space-time symmetries. We also clarify relations with deformation methods in quantum field theory, specifically, with the warped convolution in the sense of Buchholz and Summers.
Original languageEnglish
Article number095401
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
DOIs
Publication statusPublished - 15 Feb 2013

Bibliographical note

minor corrections and clarifications, as published in J. Phys A; 24 pages

Keywords

  • math-ph
  • hep-th
  • math.MP
  • 81T05 (primary) 81T40 (secondary)

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