Perturbative--nonperturbative connection in quantum mechanics and field theory
Abstract
On the occasion of this ArkadyFest, celebrating Arkady Vainshtein's 60th birthday, I review some selected aspects of the connection between perturbative and nonperturbative physics, a subject to which Arkady has made many important contributions. I first review this connection in quantum mechanics, which was the subject of Arkady's very first paper. Then I discuss this issue in relation to effective actions in field theory, which also touches on Arkady's work on operator product expansions. Finally, I conclude with a discussion of a special quantum mechanical system, a quasi-exactly solvable model with energy-reflection duality, which exhibits an explicit duality between the perturbative and nonperturbative sectors, without invoking supersymmetry.
Keywords
Cite
@article{arxiv.hep-th/0207046,
title = {Perturbative--nonperturbative connection in quantum mechanics and field theory},
author = {Gerald V. Dunne},
journal= {arXiv preprint arXiv:hep-th/0207046},
year = {2017}
}
Comments
17 pp, 9 figures; Review talk at ArkadyFest Symposium, May 2002, Minneapolis