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.
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
Germany (DE)How to cite
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.
BibTeX: Download