Abstract
In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the contexts where they were first introduced. We look at the Gauss law from two different points of view: for the gauge field, it is a differential equation, while from the matter point of view, on the other hand, it is a simple, explicit algebraic equation. We will review and discuss what these two points of view allow and do not allow us to do, in terms of unitarily gauging a pure-matter theory and eliminating the matter from a gauge theory, and relate that to the construction of PEPS (Projected Entangled Pair States) for lattice gauge theories.
| Original language | American English |
|---|---|
| Journal | SciPost Physics Lecture Notes |
| Issue number | 12 |
| DOIs | |
| State | Published - 17 Jan 2020 |
Bibliographical note
Funding Information:Patrick Emonts acknowledges support from the International Max-Planck Research School for Quantum Science and Technology (IMPRS-QST) as well as support by the EU-QUANTERA project QTFLAG (BMBF grant No. 13N14780).
Publisher Copyright:
Copyright P. Emonts and E. Zohar. This work is licensed under the Creative Commons Attribution 4.0 International License.