scholarly journals Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Clement Delcamp ◽  
Bianca Dittrich
Keyword(s):  
Gauge Theories ◽  
Topological Phases ◽  
Spin Network ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

scholarly journals Tensor Network Renormalization with Fusion Charges—Applications to 3D Lattice Gauge Theory

Universe ◽  
2020 ◽  
Vol 6 (7) ◽  
pp. 97 ◽  
Author(s):  
William J. Cunningham ◽  
Bianca Dittrich ◽  
Sebastian Steinhaus
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Coarse Graining ◽  
Two Dimensions ◽  
Direct Access ◽  
Continuous Group ◽  
Spin Network ◽  
Lattice Gauge ◽  
Tensor Network ◽  
Lattice Gauge Theories

Tensor network methods are powerful and efficient tools for studying the properties and dynamics of statistical and quantum systems, in particular in one and two dimensions. In recent years, these methods have been applied to lattice gauge theories, yet these theories remain a challenge in ( 2 + 1 ) dimensions. In this article, we present a new (decorated) tensor network algorithm, in which the tensors encode the lattice gauge amplitude expressed in the fusion basis. This has several advantages—firstly, the fusion basis does diagonalize operators measuring the magnetic fluxes and electric charges associated to a hierarchical set of regions. The algorithm allows therefore a direct access to these observables. Secondly the fusion basis is, as opposed to the previously employed spin network basis, stable under coarse-graining. Thirdly, due to the hierarchical structure of the fusion basis, the algorithm does implement predefined disentanglers. We apply this new algorithm to lattice gauge theories defined for the quantum group SU ( 2 ) k and identify a weak and a strong coupling phase for various levels k . As we increase the level k , the critical coupling g c decreases linearly, suggesting the absence of a deconfining phase for the continuous group SU ( 2 ) . Moreover, we illustrate the scaling behaviour of the Wilson loops in the two phases.

scholarly journals Symmetry-protected topological phases in lattice gauge theories: Topological QED2

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
G. Magnifico ◽  
D. Vodola ◽  
E. Ercolessi ◽  
S. P. Kumar ◽  
M. Müller ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Topological Phases ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Symmetry Protected

Topological action for lattice gauge theories

1984 ◽  
Vol 148 (4-5) ◽  
pp. 331-333
Author(s):  
V.M. Emelyanov ◽  
S.V. Petrovsky ◽  
I.L. Rozental
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

scholarly journals Towards analog quantum simulations of lattice gauge theories with trapped ions

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Zohreh Davoudi ◽  
Mohammad Hafezi ◽  
Christopher Monroe ◽  
Guido Pagano ◽  
Alireza Seif ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Trapped Ions ◽  
Quantum Simulations ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

scholarly journals Phase structure of 3D lattice gauge theories at finite temperature

2013 ◽  
Vol 870 (1) ◽  
pp. 159-175 ◽  
Author(s):  
O. Borisenko ◽  
V. Chelnokov ◽  
G. Cortese ◽  
M. Gravina ◽  
A. Papa ◽  
...  
Keyword(s):  
Finite Temperature ◽  
Phase Structure ◽  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

scholarly journals Flux tubes in three-dimensional lattice gauge theories

1993 ◽  
Vol 48 (5) ◽  
pp. 2290-2298 ◽  
Author(s):  
Howard D. Trottier ◽  
R. M. Woloshyn
Keyword(s):  
Gauge Theories ◽  
Three Dimensional ◽  
Flux Tubes ◽  
Dimensional Lattice ◽  
Lattice Gauge ◽  
Lattice Gauge Theories
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