A euclidean counterpart of the Gaussian effective potential

1987 ◽  
Vol 97 (5) ◽  
pp. 663-671 ◽  
Author(s):  
B. Broda
Keyword(s):  
Effective Potential ◽  
Gaussian Effective Potential

scholarly journals O(N)-symmetric λφ4theory: The Gaussian-effective-potential approach

1987 ◽  
Vol 35 (8) ◽  
pp. 2407-2414 ◽  
Author(s):  
P. M. Stevenson ◽  
B. Allès ◽  
R. Tarrach
Keyword(s):  
Effective Potential ◽  
Potential Approach ◽  
Gaussian Effective Potential

Gaussian Approach to (1 + 1) Dimensional φ6 Solitons at Finite Temperature

1990 ◽  
Vol 45 (6) ◽  
pp. 779-782
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Gap Equation ◽  
Potential Approach ◽  
Mass Gap ◽  
Gaussian Effective Potential

AbstractUsing the Gaussian effective potential approach, φ6 soliton solutions at finite temperature are studied for both the general case and the particular case λ2 = 2ξm2. A critical temperature is found at which soliton solutions cease to exist. The effective potential together with the mass-gap equation are studied in detail, and comparison with existing work on this subject is made

scholarly journals GAUSSIAN EFFECTIVE POTENTIAL AND ANTIFERROMAGNETISM IN THE HUBBARD MODEL

2012 ◽  
Vol 26 (20) ◽  
pp. 1250130 ◽  
Author(s):  
L. MAROTTA ◽  
F. SIRINGO
Keyword(s):  
Hubbard Model ◽  
Effective Potential ◽  
Square Lattice ◽  
Antiferromagnetic Order ◽  
Strong Coupling Regime ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Magnetic Systems ◽  
Strongly Correlated Electronic Systems ◽  
Gaussian Effective Potential

The Gaussian Effective Potential (GEP) is shown to be a useful variational tool for the study of the magnetic properties of strongly correlated electronic systems. The GEP is derived for a single band Hubbard model on a two-dimensional bi-partite square lattice in the strong coupling regime. At half-filling the antiferromagnetic order parameter emerges as the minimum of the effective potential with an accuracy which improves over RPA calculations and is very close to that achieved by Monte Carlo simulations. Extensions to other magnetic systems are discussed.

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