English

Once again: Instanton method vs. WKB

High Energy Physics - Theory 2009-11-07 v3

Abstract

A recent analytic test of the instanton method performed by comparing the exact spectrum of the Lameˊ{\acute e} potential (derived from representations of a finite dimensional matrix expressed in terms of su(2)su(2) generators) with the results of the tight--binding and instanton approximations as well as the standard WKB approximation is commented upon. It is pointed out that in the case of the Lameˊ{\acute e} potential as well as others the WKB--related method of matched asymptotic expansions yields the exact instanton result as a result of boundary conditions imposed on wave functions which are matched in domains of overlap.

Keywords

Cite

@article{arxiv.hep-th/0109185,
  title  = {Once again: Instanton method vs. WKB},
  author = {H. J. W. Müller-Kirsten and Jian-zu Zhang and Yunbo Zhang},
  journal= {arXiv preprint arXiv:hep-th/0109185},
  year   = {2009}
}

Comments

10 pages, no figures. References list revised according to JHEP