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

Lechner G (2005)


Publication Type: Journal article

Publication year: 2005

Journal

Book Volume: 38

Pages Range: 3045-3056

Journal Issue: 13

DOI: 10.1088/0305-4470/38/13/015

Abstract

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.

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APA:

Lechner, G. (2005). On the existence of local observables in theories with a factorizing S-matrix. Journal of Physics A: Mathematical and General, 38(13), 3045-3056. https://doi.org/10.1088/0305-4470/38/13/015

MLA:

Lechner, Gandalf. "On the existence of local observables in theories with a factorizing S-matrix." Journal of Physics A: Mathematical and General 38.13 (2005): 3045-3056.

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