Hamiltonian lattice gauge theories and the role of longitudinal modes

1984 ◽  
Vol 81 (3) ◽  
pp. 626-632
Author(s):  
S. Ryang ◽  
T. Saito ◽  
K. Shigemoto
Keyword(s):  
Gauge Theories ◽  
Longitudinal Modes ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Lattice Gauge Theories

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.

scholarly journals CHIRAL LATTICE GAUGE THEORIES VIA MIRROR–FERMION DECOUPLING: A MISSION (IM)POSSIBLE?

2010 ◽  
Vol 25 (14) ◽  
pp. 2761-2813 ◽  
Author(s):  
ERICH POPPITZ ◽  
YANWEN SHANG
Keyword(s):  
Gauge Theories ◽  
Current Knowledge ◽  
Chiral Symmetries ◽  
Future Studies ◽  
Lattice Gauge ◽  
The Status ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

This is a review of the status and outstanding issues in attempts to construct chiral lattice gauge theories by decoupling the mirror fermions from a vectorlike theory. In the first half, we explain why studying nonperturbative chiral gauge dynamics may be of interest, enumerate the problems that a lattice formulation of chiral gauge theories must overcome, and briefly review our current knowledge. We then discuss the motivation and idea of mirror–fermion decoupling and illustrate the desired features of the decoupling dynamics by a simple solvable toy model. The role of exact chiral symmetries and matching of 't Hooft anomalies on the lattice is also explained. The second, more technical, half of the paper is devoted to a discussion of the known and unknown features of mirror-decoupling dynamics formulated with Ginsparg–Wilson fermions. We end by pointing out possible directions for future studies.

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

COUPLED CLUSTER METHODS FOR LATTICE GAUGE THEORIES

2000 ◽  
Vol 14 (19n20) ◽  
pp. 2023-2037 ◽  
Author(s):  
BRUCE H. J. MCKELLAR ◽  
CONRAD R. LEONARD ◽  
LLOYD C. L. HOLLENBERG
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Coupled Cluster ◽  
Lattice Gauge ◽  
Coupled Cluster Methods ◽  
Hamiltonian Lattice ◽  
Lattice Gauge Theories ◽  
Cluster Methods

We give a pedagogical account of coupled cluster methods, of Hamiltonian lattice gauge theory and of the application of coupled cluster methods to the study of Hamiltonian lattice gauge theory.

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