cactus approximation
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2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Hiromi Otsuka ◽  
Yutaka Okabe ◽  
Konstantin Nefedev

1994 ◽  
Vol 09 (14) ◽  
pp. 2411-2449 ◽  
Author(s):  
TIM R. MORRIS

We investigate the structure of Polchinski’s formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff Green’s functions are given. A promising nonperturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in “irrelevancy” of operators. We illustrate with two simple models of four-dimensional λφ4 theory: the cactus approximation, and a model incorporating the first irrelevant correction to the renormalized coupling. The qualitative and quantitative behaviour give confidence in a fuller use of this method for obtaining accurate results.


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