Quantum Fluctuations and Geometry: From Graph Counting to Ricci Flow
arXiv:0902.2061 · doi:10.1016/S0034-4877(09)90026-X
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.
In this new version the derivation of the renormalization group equation is discussed in more detail and a few notational idiosyncrasies have been eliminated