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On the existence of local observables in theories with a factorizing S-matrix

Lechner, Gandalf 2005. On the existence of local observables in theories with a factorizing S-matrix. Journal of Physics A: Mathematical and General 38 (13) , p. 3045. 10.1088/0305-4470/38/13/015

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The scaling limit of the two-dimensional Ising model above the critical temperature is considered as an example for relativistic quantum theories on two-dimensional Minkowski space exhibiting a factorizing S-matrix. In this model, a recently proposed criterion for the existence of local quantum field theories with a prescribed factorizing scattering matrix is verified, thereby establishing a new constructive approach to two-dimensional quantum field theory in a particular example. The existence proof is accomplished by analysing the nuclearity properties of certain specific subsets of fermionic Fock spaces, and yields as a byproduct also a verification of the energy nuclearity condition of Buchholz and Wichmann in models of free fermions in four spacetime dimensions.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: IOP Publishing
ISSN: 0305-4470
Last Modified: 04 Jun 2017 08:09

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