scholarly journals Functional-integral approach to strongly correlated Fermi systems: Quantum fluctuations beyond the Gutzwiller approximation

1990 ◽  
Vol 41 (1) ◽  
pp. 142-148 ◽  
Author(s):  
M. Lavagna
Keyword(s):  
Quantum Fluctuations ◽  
Functional Integral ◽  
Integral Approach ◽  
Strongly Correlated ◽  
Fermi Systems ◽  
Gutzwiller Approximation

scholarly journals QUANTUM FLUCTUATIONS ON THE GUTZWILLER APPROXIMATION OF THE HUBBARD MODEL

1988 ◽  
Vol 02 (05) ◽  
pp. 607-612 ◽  
Author(s):  
M. LAVAGNA
Keyword(s):  
Hubbard Model ◽  
Resonant State ◽  
Mean Field ◽  
Quantum Fluctuations ◽  
Strongly Correlated ◽  
New Approach ◽  
Kondo Problem ◽  
Gutzwiller Approximation ◽  
The Mean ◽  
Complete Analogy

Many experimental results seem to relate the superconducting oxides to the phenomenon of Mott localization in strongly correlated systems. We will give a brief review of the different theories developed until then to treat the Mott localization in the Hubbard model: variational Ansatz of Gutzwiller or RVB Ansatz, leading to fundamentally different ground states. In this context, we propose a new approach which consists to take account of the quantum fluctuations around the mean-field solution provided by the Gutzwiller approximation. We show how to understand the ground state in terms of a resonance (split by the Mott gap in the almost-localized regime) in complete analogy with the Abrikosov-Suhl resonance of the Kondo problem — heavy fermions. Superconductivity appears as induced by the constrained intersite correlations developed by quantum fluctuations around this resonant state.

Reaction diffusion with initially separated reactants: Functional integral approach

1997 ◽  
Vol 56 (1) ◽  
pp. 708-711 ◽  
Author(s):  
Victor Malyutin ◽  
Savely Rabinovich ◽  
Shlomo Havlin
Keyword(s):  
Reaction Diffusion ◽  
Functional Integral ◽  
Integral Approach

scholarly journals Some comments on infinities on quantum field theory: A functional integral approach

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
Luiz C. L. Botelho
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Function Space ◽  
Functional Integral ◽  
Field Theories ◽  
Integral Approach ◽  
Quantum Field ◽  
Functional Integrals ◽  
Euclidean Field ◽  
The Subject

AbstractWe analyze on the formalism of probabilities measures-functional integrals on function space the problem of infinities on Euclidean field theories. We also clarify and generalize our previous published studies on the subject.

Functional integral approach for a doubly degenerate Hubbard model

1979 ◽  
Vol 94 (2) ◽  
pp. 437-450 ◽  
Author(s):  
A. Richter ◽  
G. Röpke ◽  
F. Goedsche
Keyword(s):  
Hubbard Model ◽  
Functional Integral ◽  
Integral Approach
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