Ring-polymer, centroid, and mean-field approximations to multi-time Matsubara dynamics

2020 ◽  
Vol 153 (12) ◽  
pp. 124112
Author(s):  
Kenneth A. Jung ◽  
Pablo E. Videla ◽  
Victor S. Batista
Keyword(s):  
Mean Field ◽  
Ring Polymer ◽  
Mean Field Approximations

EXTENSIONS OF MEAN-FIELD APPROXIMATIONS

1995 ◽  
pp. 17-44
Author(s):  
M. Suzuki ◽  
X. Hu ◽  
N. Hatano ◽  
M. Katori ◽  
K. Minami ◽  
...  
Keyword(s):  
Mean Field ◽  
Mean Field Approximations

scholarly journals Mean-field approximations for short-range four-body interactions at ν=35

2019 ◽  
Vol 99 (23) ◽  
Author(s):  
Bartosz Kuśmierz ◽  
Arkadiusz Wójs ◽  
G. J. Sreejith
Keyword(s):  
Short Range ◽  
Mean Field ◽  
Mean Field Approximations

MEAN-FIELD RENORMALIZATION GROUP: BIBLIOGRAPHY AND NEW APPLICATIONS USING LARGE CLUSTERS

1993 ◽  
Vol 07 (10) ◽  
pp. 699-709 ◽  
Author(s):  
K. CROES ◽  
J. O. INDEKEU
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Lattice Models ◽  
Group Methods ◽  
Bulk Surface ◽  
Complete Bibliography ◽  
Large Clusters ◽  
New Applications ◽  
Mean Field Approximations ◽  
Field Renormalization

Renormalization group recursions based on mean-field approximations [J. O. Indekeu, A. Maritan, and A. L. Stella, J. Phys.A15, L291 (1982)], commonly referred to as mean-field renormalization group methods (MFRG), have proven to be efficient and easily applicable for computing non-classical critical properties of lattice models. We give a fairly complete bibliography of applications to date, and extend previous test calculations of bulk, surface, and corner critical exponents in the two-dimensional Ising model to larger cluster sizes on triangular, square (including crossing bonds), and honeycomb lattices. Without much effort the exact value of the critical exponent ratioyH/yT is reproduced systematically with a precision of 2%. This ratio turns out to be the most accurate probe of non-classical critical behaviour that is available in the MFRG method.

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