Duality between the SU(2) lattice gauge model and bosonic t − J model

2020 ◽  
Vol 384 (13) ◽  
pp. 126254
Author(s):  
Fei-Jie Huang ◽  
Yifen Zhao ◽  
Qi-Hui Chen ◽  
Yong-Ping Fu
Keyword(s):  
Gauge Model ◽  
Lattice Gauge

MONTE-CARLO ANALYSIS OF THE ABELIAN SURFACE GAUGE MODEL

1992 ◽  
Vol 07 (18) ◽  
pp. 1601-1607 ◽  
Author(s):  
M. BAIG ◽  
A. TRIAS
Keyword(s):  
Monte Carlo ◽  
Phase Structure ◽  
Three Dimensional ◽  
Monte Carlo Analysis ◽  
Abelian Surface ◽  
Gauge Model ◽  
Monte Carlo Techniques ◽  
Gauge Models ◽  
Lattice Gauge ◽  
Duality Relations

We present the first numerical results from a lattice formulation of the Abelian surface gauge model which accounts for three-index fields required in theories based on an antisymmetrical potential. For this purpose we have defined a lattice gauge model in such a way that field variables are assigned to the plaquettes and the interaction is defined through elementary three-dimensional cubes. The phase structure of the Abelian Z(2) case has been determined using Monte-Carlo techniques. Duality relations to spin and gauge models are also studied.

scholarly journals THE COLOR–FLAVOR TRANSFORMATION OF INDUCED QCD

2005 ◽  
Vol 20 (20n21) ◽  
pp. 4965-4993
Author(s):  
YASHA SHNIR
Keyword(s):  
Gauge Theory ◽  
Degrees Of Freedom ◽  
Lattice Site ◽  
Arbitrary Dimension ◽  
Saddle Points ◽  
Gauge Model ◽  
Lattice Gauge ◽  
Large N ◽  
Hypercubic Lattice ◽  
Matrix Fields

The color–flavor transformation is applied to the U (Nc) lattice gauge model, in which the gauge theory is induced by a heavy chiral scalar field sitting on lattice sites. The flavor degrees of freedom can encompass several "generations" of the auxiliary field, and for each generation, remaining indices are associated with the elementary plaquettes touching the lattice site. The effective, color–flavor transformed theory is expressed in terms of gauge singlet matrix fields carried by lattice links. The effective action is analyzed for a hypercubic lattice in arbitrary dimension. The saddle points equations of the model in the large-Nc limit are discussed.

Are gluons composite? A new lattice gauge model with an exact U(∞) solution

1985 ◽  
Vol 156 (1-2) ◽  
pp. 96-101
Author(s):  
T. Hofsäss ◽  
H. Kleinert ◽  
T. Matsui
Keyword(s):  
Gauge Model ◽  
Lattice Gauge

Finite-size scaling and asymptotic freedom of the SU(2) lattice gauge model

1981 ◽  
Vol 24 (2) ◽  
pp. 548-551 ◽  
Author(s):  
M. Nauenberg ◽  
T. Schalk ◽  
R. Brower
Keyword(s):  
Finite Size ◽  
Asymptotic Freedom ◽  
Gauge Model ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Lattice Gauge
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