Journal Article Geometry of the theory space in the exact renormalization group formalism

Pagani, C.  ,  Sonoda, H.

97 ( 2 )  , p.25015 , 2018-01-24 , American Physical Society (APS)
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 can be defined directly from the solution of 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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