Validity of the strong-coupling expansion of the two-dimensional Hubbard model

1989 ◽  
Vol 40 (7) ◽  
pp. 4431-4436 ◽  
Author(s):  
B. Friedman ◽  
X. Y. Chen ◽  
W. P. Su
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
Two Dimensional

scholarly journals High-order symbolic strong-coupling expansion for the Bose-Hubbard model

2018 ◽  
Vol 98 (24) ◽  
Author(s):  
Tao Wang ◽  
Xue-Feng Zhang ◽  
Chun-Feng Hou ◽  
Sebastian Eggert ◽  
Axel Pelster
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
High Order

scholarly journals STRONG COUPLING EXPANSION FOR GENERAL RELATIVITY

2006 ◽  
Vol 15 (09) ◽  
pp. 1373-1386 ◽  
Author(s):  
MARCO FRASCA
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Strong Coupling ◽  
Strong Coupling Expansion ◽  
Einstein Equations ◽  
Duality Principle ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model ◽  
Analysis Application

Strong coupling expansion is computed for the Einstein equations in vacuum in the Arnowitt–Deser–Misner (ADM) formalism. The series is given by the duality principle in perturbation theory as presented in M. Frasca, Phys. Rev. A58, 3439 (1998). An example of application is also given for a two-dimensional model of gravity expressed through the Liouville equation showing that the expansion is not trivial and consistent with the exact solution, in agreement with the general analysis. Application to the Einstein equations in vacuum in the ADM formalism shows that the space–time near singularities is driven by space homogeneous equations.

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