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In integrable models of quantum field theory, local fields are normally constructed by means of the bootstrap-formfactor program. However, the convergence of their n-point functions is unclear in this setting. An alternative approach uses fully convergent expressions for fields with weaker localization properties in spacelike wedges, and deduces existence of observables in bounded regions from there, but yields little information about their explicit form. We propose a new, hybrid construction: We aim to describe pointlike local quantum fields; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we establish them as closed operators affiliated with a net of local von Neumann algebras that is known from the wedge-local approach. This is shown to work at least in the Ising model.
|Title of host publication||XXVI International Conference on Integrable Systems and Quantum symmetries|
|Publication status||Published - 16 Dec 2019|
|Name||Journal of Physics: Conference Series|
Bibliographical note© 2019, The Author(s).
- 1 Talk
On the status of pointlike fields in integrable QFTs
Henning Bostelmann (Speaker)10 Jul 2019
Activity: Talk or presentation › Talk