Sep 12 – 14, 2018
Fermilab - Wilson Hall
US/Central timezone

Tensor Networks for Fine-Graining Lattice Gauge Theory, and Also Path Integral Geometry

Sep 13, 2018, 11:30 AM
One West (Fermilab - Wilson Hall)

One West

Fermilab - Wilson Hall

Fermi National Accelerator Laboratory Batavia, IL


Ashley Milsted (Perimeter Institute for Theoretical Physics)


There are many tensor network approaches to studying quantum field theories. In this talk we summarize two: (1) An approach to fine-graining (UV-completing) lattice Yang-Mills theory in the Hamiltonian formalism. Central to this approach are local maps that perform curvature interpolation in the gauge-group, which together form the building blocks of a gauge-invariant MERA tensor network. (2) A way of assigning geometric content to pieces of certain well-known tensor networks for critical systems, via their mimicry of pieces of euclidean time path integral (of a conformal field theory).

Presentation materials