Strong coupling expansion for the ground-state functional in a model of the quantum theory of a scalar neutral field with self-interaction g?4 in the case of two-dimensional spacetime

1976 ◽  
Vol 26 (2) ◽  
pp. 186-189
Author(s):  
L. G. Zastavenko
Keyword(s):  
Quantum Theory ◽  
Strong Coupling ◽  
Ground State ◽  
Strong Coupling Expansion ◽  
Two Dimensional ◽  
Dimensional Spacetime ◽  
Neutral Field ◽  
Scalar Neutral Field

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.

scholarly journals INTEGRABILITY AND DUALITY IN TWO-DIMENSIONAL QCD

1995 ◽  
Vol 10 (11) ◽  
pp. 1611-1640 ◽  
Author(s):  
E. ABDALLA ◽  
M.C.B. ABDALLA
Keyword(s):  
Hilbert Space ◽  
Quantum Theory ◽  
Strong Coupling ◽  
Integrability Condition ◽  
Strong Coupling Limit ◽  
Two Dimensional ◽  
Gauge Invariant ◽  
Type Transformation

We consider bosonized QCD2, and prove that after one rewrites the theory in terms of gauge-invariant fields, there exists an integrability condition that is valid for the quantum theory as well. Furthermore, performing a duality type transformation we obtain an appropriate action for the description of the strong coupling limit, which is still integrable. We also prove that the model displays a complicated set of constraints, which restrict the dynamics of part of the theory, but which are necessary for maintaining the positive metric Hilbert space.

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

Strong-coupling expansion for the ground-state energy in the|x|αpotential

1981 ◽  
Vol 24 (10) ◽  
pp. 2674-2682 ◽  
Author(s):  
Carl M. Bender ◽  
Lawrence R. Mead ◽  
L. M. Simmons
Keyword(s):  
Strong Coupling ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Strong Coupling Expansion
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