中文

The Exact Renormalisation Group and Approximate Solutions

高能物理 - 唯象学 2009-10-22 v3 高能物理 - 理论

摘要

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\lambda \varphi^4 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.

关键词

引用

@article{arxiv.hep-ph/9308265,
  title  = {The Exact Renormalisation Group and Approximate Solutions},
  author = {Tim R. Morris},
  journal= {arXiv preprint arXiv:hep-ph/9308265},
  year   = {2009}
}

备注

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