On the geometry of the theory space in the ERG formalism

@inproceedings{Pagani2017OnTG,
  title={On the geometry of the theory space in the ERG formalism},
  author={Carlo D. Pagani and H. Sonoda},
  year={2017}
}
Abstract We consider the theory space as a manifold whose coordinates are given by the couplings appearing in the Wilson action. We discuss how to introduce connections on this theory space. A particularly intriguing connection stems directly from the exact renormalization group (ERG) equation. We advocate a geometric viewpoint that lets us define straightforwardly physically relevant quantities invariant under the changes of a renormalization scheme. 

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