An Analytical Self-consistent Solution for the Free Energy of a 1-D Chain of Atoms Including Anharmonic Effects

2012 ◽  
Vol 148 (5) ◽  
pp. 951-971 ◽  
Author(s):  
Woo Kyun Kim ◽  
Ellad B. Tadmor
Keyword(s):  
Free Energy ◽  
Anharmonic Effects ◽  
Self Consistent ◽  
Consistent Solution

BOOTSTRAPPING A HEAVY HIGGS

1988 ◽  
Vol 03 (03) ◽  
pp. 295-301 ◽  
Author(s):  
A.P. CONTOGOURIS ◽  
N. MEBARKI ◽  
D. ATWOOD ◽  
H. TANAKA
Keyword(s):  
Simple Model ◽  
Strong Interaction ◽  
Higgs Mass ◽  
Bound State ◽  
Interaction Effects ◽  
Phase Shifts ◽  
Dispersion Relations ◽  
S Wave ◽  
Self Consistent ◽  
Consistent Solution

Possible strong interaction effects arising when the Higgs mass MH is sufficiently large are investigated in the system of interacting Higgs, using dispersion relations (N/D method). A simple model indicates that for MH≳1 TeV several such effects are present: an 1=0 bound state, large s-wave phase shifts and a resonance-like state. In the range 1.5≲MH≲3.5 TeV the above bound state amounts to an approximate bootstrap (self-consistent) solution for the Higgs with respect to both its mass and coupling. Other aspects of the H-H strong interaction system are also investigated.

Broyden method for the self-consistent solution of Schrodinger and Poisson equations

2005 ◽  
Author(s):  
Sun Lin ◽  
Yang Wenwei ◽  
Xiang Cailan ◽  
Yu Zhiping ◽  
Tian Lilin
Keyword(s):  
The Self ◽  
Poisson Equations ◽  
Broyden Method ◽  
Self Consistent ◽  
Consistent Solution
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