Self-Consistent Field SCF Theory Saddle Point Integration in U and

Self-Consistent Field (SCF) Theory Saddle Point Integration in U and W 

In the self-consistent field (SCF) theory one additionally approximates the functional integral over the field W by its saddle point value. Using the fimc-tionals 

The two Eqs. 40 and 48 define a self-consistent set of equations for the two fields W and U. Knowing the fields W and U, one can calculate the thermal average of the microscopic composition via  

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