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Gauss law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories

by Patrick Emonts, Erez Zohar

Submission summary

As Contributors: Patrick Emonts
Arxiv Link: https://arxiv.org/abs/1807.01294v2
Date submitted: 2019-08-08
Submitted by: Emonts, Patrick
Submitted to: SciPost Physics Lecture Notes
Domain(s): Theor. & Comp.
Subject area: Quantum Physics

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, by looking 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.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1807.01294v2 on 8 August 2019

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