New Frontiers in QCD 2026

Gauge-invariant PEPS for pure Z_2 gauge theory and its entanglement

Nov 12, 2026, 9:20 AM

25m

Panasonic Auditorium, Yukawa Hall (YITP, Kyoto University)

(5th week, Nov. 9-13) Theoretical Developments in QCD and related topics Week 5: Theoretical Developments in QCD and related topics

Speaker

Etsuko Itou (YITP, Kyoto University)

Description

We investigate the entanglement structure of the 2+1-dimensional Z_2 lattice gauge theory using tensor-network methods. We construct gauge-invariant ground state based on the gauged Gaussian PEPS (GGPEPS) ansatz proposed by Zohar et al., which automatically satisfies Gauss’ law. This ansatz enables us to study the theory over a wide range of coupling constants while keeping gauge invariance manifest.
By combining the GGPEPS framework with Grassmann tensor network techniques, we perform accurate numerical calculations of physical observables and entanglement properties.