On the geometry of the theory space in the ERG formalism

Autor: Pagani, C., Sonoda, H.
Rok vydání: 2017
Předmět:
Zdroj: Phys. Rev. D 97, 025015 (2018)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.97.025015
Popis: 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.
Comment: 23 pages
Databáze: arXiv