On the Relationship between Large Order Graphs and Instantons for the Double Well Oscillator
高能物理 - 唯象学
2009-10-31 v1
摘要
The double well oscillator is used as a QCD-like model for studying the relationship between large order graphs and the instanton-antiinstanton solution. We derive an equation for the perturbative coefficients of the ground state energy when the number of 3 and/or 4-vertices is fixed and large. These coefficients are determined in terms of an exact``bounce'' solution. When the number of 4-vertices is analytically continued to be near the negative of half the number of 3-vertices the bounce solution approaches the instanton-antiinstanton solution and detremines leading Borel singularity.
引用
@article{arxiv.hep-ph/0008266,
title = {On the Relationship between Large Order Graphs and Instantons for the Double Well Oscillator},
author = {A. H. Mueller and D. N. Triantafyllopoulos},
journal= {arXiv preprint arXiv:hep-ph/0008266},
year = {2009}
}
备注
26 pages, Latex, 6 figures, 1 table