PIRSA:18100090

Towards building a Lorentzian space-time tensor network

Hung, L. (2018). Towards building a Lorentzian space-time tensor network. Perimeter Institute. https://pirsa.org/18100090

Hung, Ling-Yan. Towards building a Lorentzian space-time tensor network. Perimeter Institute, Oct. 16, 2018, https://pirsa.org/18100090 

          @misc{ pirsa_PIRSA:18100090,
            doi = {10.48660/18100090},
            url = {https://pirsa.org/18100090},
            author = {Hung, Ling-Yan},
            keywords = {Condensed Matter},
            language = {en},
            title = {Towards building a Lorentzian space-time tensor network},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {oct},
            note = {PIRSA:18100090 see, \url{https://pirsa.org}}
          }

Ling-Yan Hung

Tsinghua University

Talk number
PIRSA:18100090
Collection
Talk Type
Subject
Abstract

We discuss some algebraic quantum field theory (AQFT) ingredients that should be useful in defining a tensor network describing a Lorentzian space-time.

We look into toy models that approximate Minkowski space and show how Lorentz boosts are approximately recovered, and obtain Rindler modes that can be compared with the entanglement spectrum. 

We make connections of these approximations of Lorentz boosts with the corner transfer matrices in integrable models, and comment on the discrete realization of the Reeh-Schlieder theorem that governs entanglement in a Hilbert space with lower bounded energy.