scholarly journals Chiral Y junction of Luttinger liquid wires at strong coupling: Fermionic representation

2013 ◽  
Vol 88 (7) ◽  
Author(s):  
D. N. Aristov ◽  
P. Wölfle
Keyword(s):  
Strong Coupling ◽  
Luttinger Liquid ◽  
Fermionic Representation

scholarly journals Nuclear Matter in 1 + 1 Dimensions

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 411
Author(s):  
Robert D. Pisarski ◽  
Marton Lajer ◽  
Alexei M. Tsvelik ◽  
Robert M. Konik
Keyword(s):  
Nuclear Matter ◽  
Strong Coupling ◽  
Luttinger Liquid ◽  
Gauge Coupling

We review the solution of QCD in two spacetime dimensions. Following the analysis of Baluni, for a single flavor, the model can be analyzed using Abelian bosonization. The theory can be analyzed in strong coupling, when the quarks are much lighter than the gauge coupling. In this limit, the theory is given by a Luttinger liquid.

scholarly journals Nuclear Matter in 1+1 Dimensions

2021 ◽  
Author(s):  
Robert Douglas Pisarski ◽  
Alexei Tsvelik ◽  
Marton Lajer ◽  
Robert M Konik
Keyword(s):  
Nuclear Matter ◽  
Strong Coupling ◽  
Luttinger Liquid ◽  
Gauge Coupling

I review the solution of QCD in two spacetime dimensions. Following the analysis of Baluni, for a single flavor the model can be analyzed using Abelian bosonization. The theory can be analyzed in strong coupling, when the quarks are much lighter than the gauge coupling. In this limit, the theory is given by a Luttinger liquid.

Exchange-Correlation Energy Densities and Response Potentials: Connection Between Two Definitions and Analytical Model for the Strong-Coupling Limit of a Stretched Bond

2019 ◽  
Author(s):  
S. Giarrusso ◽  
Paola Gori-Giorgi
Keyword(s):  
Density Functional Theory ◽  
Strong Coupling ◽  
Density Functional ◽  
Correlation Energy ◽  
Order Term ◽  
Strong Coupling Limit ◽  
Local Form ◽  
Coupling Constant ◽  
Functional Theory ◽  
Exchange Correlation

We analyze in depth two widely used definitions (from the theory of conditional probablity amplitudes and from the adiabatic connection formalism) of the exchange-correlation energy density and of the response potential of Kohn-Sham density functional theory. We introduce a local form of the coupling-constant-dependent Hohenberg-Kohn functional, showing that the difference between the two definitions is due to a corresponding local first-order term in the coupling constant, which disappears globally (when integrated over all space), but not locally. We also design an analytic representation for the response potential in the strong-coupling limit of density functional theory for a model single stretched bond.<br>

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