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Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
by Patrick Emonts, Erez Zohar
- Published as SciPost Phys. Lect. Notes 12 (2020)
|As Contributors:||Patrick Emonts|
|Submitted by:||Emonts, Patrick|
|Submitted to:||SciPost Physics Lecture Notes|
|Subject area:||Quantum Physics|
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.
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Published as SciPost Phys. Lect. Notes 12 (2020)
Author comments upon resubmission
List of changes
We modified the last paragraph of 4.3 to contain the extra information requested by the referee.