Non-Perturbative Quantum Geometry
High Energy Physics - Theory
2015-06-17 v1
Abstract
The beta-ensemble with cubic potential can be used to study a quantum particle in a double-well potential with symmetry breaking term. The quantum mechanical perturbative energy arises from the ensemble free energy in a novel large N limit. A relation between the generating functions of the exact non-perturbative energy, similar in spirit to the one of Dunne-Unsal, is found. The exact quantization condition of Zinn-Justin and Jentschura is equivalent to the Nekrasov-Shatashvili quantization condition on the level of the ensemble. Refined topological string theory in the Nekrasov-Shatashvili limit arises as a large N limit of quantum mechanics.
Cite
@article{arxiv.1311.0584,
title = {Non-Perturbative Quantum Geometry},
author = {Daniel Krefl},
journal= {arXiv preprint arXiv:1311.0584},
year = {2015}
}
Comments
20 pages