文献类型：期刊文献

英文题名：Once again:: instanton method vs. WKB -: art. no. 011

作者：Müller-Kirsten, HJW; Zhang, JZ; Zhang, YB

机构：[1]Univ Kaiserslautern, Dept Phys, D-67653 Kaiserslautern, Germany;[2]E China Univ Sci & Technol, Inst Theoret Phys, Shanghai 200237, Peoples R China;[3]Shanxi Univ, Dept Phys, Taiyuan 030006, Shanxi, Peoples R China;[4]Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Shanxi, Peoples R China

年份：2001

期号：11

外文期刊名：JOURNAL OF HIGH ENERGY PHYSICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000174174000011)】；

语种：英文

外文关键词：field theories in lower dimensions; nonperturbative effects; solitons monopoles and instantons; integrable equations in physics

摘要：A recent analytic test of the instanton method performed by comparing the exact spectrum of the Lame potential (derived from representations of a finite dimensional matrix expressed in terms of 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 Lame 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.