Quantum Fluctuations and Geometry: From Graph Counting to Ricci Flow
High Energy Physics - Theory
2015-05-13 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We discuss in rather general terms quantum field theories dealing with spaces of maps between Riemannian manifolds. In particular we explore the well--known connection between the renormalization group flow for non--linear sigma models and the Ricci flow.
Cite
@article{arxiv.0902.2061,
title = {Quantum Fluctuations and Geometry: From Graph Counting to Ricci Flow},
author = {Mauro Carfora and Stefano Romano},
journal= {arXiv preprint arXiv:0902.2061},
year = {2015}
}
Comments
In this new version the derivation of the renormalization group equation is discussed in more detail and a few notational idiosyncrasies have been eliminated