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
1990 ◽  
Vol 45 (6) ◽  
pp. 779-782
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta

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


1989 ◽  
Vol 44 (6) ◽  
pp. 524-528
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta

Soliton solutions at finite temperature have been studied using the Gaussian effective potential approach. A critical temperature Tc is obtained at which the soliton solutions cease to exist. The effective potential has also been calculated together with the Mass Gap equation.


2012 ◽  
Vol 428 (2) ◽  
pp. 952-982 ◽  
Author(s):  
D. Pugliese ◽  
G. Montani ◽  
M. G. Bernardini

2020 ◽  
Vol 127 (5) ◽  
pp. 054701 ◽  
Author(s):  
Murilo S. Marques ◽  
Thiago P. O. Nogueira ◽  
Rodrigo F. Dillenburg ◽  
Marcia C. Barbosa ◽  
José Rafael Bordin

2012 ◽  
Vol 26 (20) ◽  
pp. 1250130 ◽  
Author(s):  
L. MAROTTA ◽  
F. SIRINGO

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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