Kontakt

Conformal field theory from lattice fermions

verfasst von
Tobias J. Osborne, Alexander Stottmeister
Abstract

We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions, focussing on free fermion models and Wess-Zumino-Witten models. To this end, we utilize a recently introduced operator-algebraic framework for Wilson-Kadanoff renormalization. In this setting, we prove the convergence of the approximation of the Virasoro generators by the Koo-Saleur formula. From this, we deduce the convergence of lattice approximations of conformal correlation functions to their continuum limit. In addition, we show how these results lead to explicit error estimates pertaining to the quantum simulation of conformal field theories.

Organisationseinheit(en)
Institut für Theoretische Physik
Typ
Preprint
Publikationsdatum
29.07.2021
Publikationsstatus
Elektronisch veröffentlicht (E-Pub)
Elektronische Version(en)
https://doi.org/10.48550/arXiv.2107.13834 (Zugang: Offen)