Gauge‑theory dynamics with tensor networks

Lunch will be served.

Gauge theories underpin our understanding of fundamental interactions, yet simulating their real-time dynamics is challenging. Tensor-network methods have been widely applied to gauge theories to study their dynamics. In this work, we bring a new tool to the problem: the Loop-String-Hadron (LSH) formulation, which recasts gauge fields into local, gauge-invariant building blocks. We develop a tensor network toolkit for the SU(2) gauge theory in 1+1-D using the LSH formulation. Using this toolkit, we reproduce existing results and push dynamics calculations to larger lattices and higher cutoff values. This allows us to access richer features in the dynamics of string breaking in the presence of dynamical matter. A key strength of the LSH approach is its generality: it has been developed for SU(3) and for higher spatial dimensions, providing a systematic path toward full QCD simulations. While we focus on classical tensor-network studies, this framework also offers a natural bridge to quantum simulation—serving as a benchmark for near-term devices, and potentially informing the design of future algorithms. This work demonstrates the practical applicability of the LSH formulation for advancing both classical and quantum studies of gauge theories, and for moving closer to realistic simulations of QCD.

Note: This session uses Zoom Webinar; attendees will not be able to speak but can submit questions using the Q&A feature.