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About Ioannis Bakas - Renormalization Group Equations and Geometric Flows
1) The document discusses how renormalization group equations in two-dimensional quantum field theory can give rise to geometric flows, such as the Ricci flow and mean curvature flow. 2) Specifically, the bulk renormalization group equation at one-loop order gives the Ricci flow equation for the target space metric. The boundary renormalization group equation gives the mean curvature flow for embedded branes. 3) These flows form a coupled system of nonlinear partial differential equations. They provide a way to study problems in differential geometry using the framework of two-dimensional quantum field theory and sigma models.
Detailed Information
| Author: | ['Tuoma2'] |
|---|---|
| Publication Year: | 2012 |
| Pages: | 10 |
| Language: | English |
| Format: | |
| Price: | FREE |
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