hamiltonian lattice
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Author(s):  
Patrick Emonts ◽  
Erez Zohar

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.


2019 ◽  
Vol 24 (6) ◽  
pp. 725-738
Author(s):  
Vyacheslav P. Kruglov ◽  
Sergey P. Kuznetsov

2019 ◽  
Vol 1 (4) ◽  
pp. 881-887 ◽  
Author(s):  
Simone Paleari ◽  
◽  
Tiziano Penati ◽  
◽  
◽  
...  

2018 ◽  
Vol 361 (2) ◽  
pp. 605-659 ◽  
Author(s):  
Cédric Bernardin ◽  
Patrícia Gonçalves ◽  
Milton Jara ◽  
Marielle Simon

2018 ◽  
Vol 175 ◽  
pp. 02011
Author(s):  
Emilie Huffman

Using a model in the Gross-Neveu Ising universality class, we show how the fermion bag idea can be applied to develop algorithms to Hamiltonian lattice field theories. We argue that fermion world lines suggest an alternative method to the traditional techniques for calculating ratios of determinants in a stable manner. We show the power behind these ideas by extracting the physics of the model on large lattices.


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