1993/08/31 by Tim R. Morris · 2 citations
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217751x94000972
published as Int.J.Mod.Phys. A9 (1994) 2411-2450 · 49 pages (with figures), Plain TeX, uses psfig, 7 postscript figures appended as uuencoded compressed tar file, SHEP 92/93-27, CERN-TH.6977/93, Note Added with more complete comparison to earlier work
arxiv created 1993/10/08 · arxiv updated 2009/11/30
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 greens functions are given. A promising non-perturbative 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.