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resummation : ウィキペディア英語版
resummation
In mathematics and theoretical physics, resummation is a procedure to obtain a finite result from a divergent sum (series) of functions. Resummation involves a definition of another (convergent) function in which the individual terms defining the original function are re-scaled, and an integral transformation of this new function to obtain the original function. Borel resummation is probably the most well-known example.
The simplest method is an extension of a variational approach to higher order
based on a paper by R.P. Feynman and H. Kleinert.〔

In quantum mechanics it was extended to any order here,〔
〕 and in quantum field theory here.〔
Kleinert, H., ("Critical exponents from seven-loop strong-coupling φ4 theory in three dimensions". Physical Review D 60, 085001 (1999) )〕
See also Chapters 16–20 in the textbook cited below.
== References ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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