A Characterization Theorem for Local Operators in Factorizing Scattering Models

Daniela Cadamuro

Research output: Other contributionPhD thesis (not Bristol)

Abstract

In quantum field theory, the rigorous construction of local observables in the presence of nontrivial interaction is a crucial problem. In a class of integrable quantum field theories, a very abstract existence proof has recently been given by Lechner. We give an explicit characterization of these local observables in terms of the properties of the coefficient functions in an expansion by interacting creators and annihilators. Some results on the operator domains of these local observables are given. Using these, we constructed explicit examples of local observables in the quantum Ising model.
Original languageEnglish
Publication statusPublished - 1 Oct 2013

Bibliographical note

Ph.D. thesis, 169 pages, 11 figures

Keywords

  • math-ph
  • math.MP
  • 81T40, 81T05

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