On Chebyshev Wells: Periods, Deformations, and Resurgence
High Energy Physics - Theory
2020-07-01 v2
Abstract
We study the geometry and mechanics (both classical and quantum) of potential wells described by squares of Chebyshev polynomials. We show that in a small neighbourhood of the locus cut out by them in the space of hyperelliptic curves, these systems exhibit low-orders/low-orders resurgence, where perturbative fluctuations about the vacuum determine perturbative fluctuations about non-perturbative saddles.
Keywords
Cite
@article{arxiv.2002.01794,
title = {On Chebyshev Wells: Periods, Deformations, and Resurgence},
author = {Madhusudhan Raman and P. N. Bala Subramanian},
journal= {arXiv preprint arXiv:2002.01794},
year = {2020}
}
Comments
v2: 36 pages, 2 figures, typos corrected, references added and discussion improved, matches version to appear in PRD