scholarly journals Gauge-invariant variational methods for Hamiltonian lattice gauge theories

1982 ◽  
Vol 25 (12) ◽  
pp. 3331-3355 ◽  
Author(s):  
D. Horn ◽  
M. Weinstein
Keyword(s):  
Variational Methods ◽  
Gauge Theories ◽  
Gauge Invariant ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Lattice Gauge Theories

scholarly journals Gauge-invariant quantum circuits for U (1) and Yang-Mills lattice gauge theories

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Giulia Mazzola ◽  
Simon V. Mathis ◽  
Guglielmo Mazzola ◽  
Ivano Tavernelli
Keyword(s):  
Gauge Theories ◽  
Quantum Circuits ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Invariant Quantum

scholarly journals Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories

2020 ◽  
Author(s):  
Patrick Emonts ◽  
Erez Zohar
Keyword(s):  
Gauge Theories ◽  
Point Of View ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Tensor Network ◽  
Network Methods ◽  
Matter Theory ◽  
Lattice Gauge Theories ◽  
Points Of View ◽  
The One

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.

Hamiltonian lattice gauge theories in a loop-dependent magnetic representation

1989 ◽  
Vol 39 (6) ◽  
pp. 1756-1760 ◽  
Author(s):  
Cayetano Di Bartolo ◽  
Rodolfo Gambini ◽  
Lorenzo Leal
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Lattice Gauge Theories ◽  
Magnetic Representation
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