Non-perturbative Quantum Theories and Integrable Equations
High Energy Physics - Theory
2015-06-26 v1
Abstract
I review the appearance of classical integrable systems as an effective tool for the description of non-perturbative exact results in quantum string and gauge theories. Various aspects of this relation: spectral curves, action-angle variables, Whitham deformations and associativity equations are considered separately demonstrating hidden parallels between topological 2d string theories and naively non-topological 4d theories. The proofs are supplemented by explicit illustrative examples.
Cite
@article{arxiv.hep-th/9610242,
title = {Non-perturbative Quantum Theories and Integrable Equations},
author = {A. Marshakov},
journal= {arXiv preprint arXiv:hep-th/9610242},
year = {2015}
}
Comments
35 pages, LaTeX, to appear in Int.J.Mod.Phys. A