Semi-Classical Quantum Fields Theories and Frobenius Manifolds
High Energy Physics - Theory
2008-11-26 v1 Quantum Algebra
Abstract
We show that a semi-classical quantum field theory comes with a versal family with the property that the corresponding partition function generates all path integrals and satisfies a system of 2nd order differential equations determined by algebras of classical observables. This versal family gives rise to a notion of special coordinates that is analogous to that in string theories. We also show that for a large class of semi-classical theories, their moduli space has the structure of a Frobenius super-manifold.
Cite
@article{arxiv.0705.1507,
title = {Semi-Classical Quantum Fields Theories and Frobenius Manifolds},
author = {Jae-Suk Park},
journal= {arXiv preprint arXiv:0705.1507},
year = {2008}
}