Geometry of the theory space in the exact renormalization group formalism

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Geometry of the theory space in the exact renormalization group formalism

Pagani, C.; Sonoda, H.

Physical review. D, 01/2018, Volume: 97, Issue: 2

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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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Pagani, C. | Sonoda, H.

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