6533b823fe1ef96bd127e360
RESEARCH PRODUCT
Geometry of the theory space in the exact renormalization group formalism
Hidenori SonodaCarlo Paganisubject
RenormalizationPhysicsFormalism (philosophy of mathematics)010308 nuclear & particles physicsQuantum mechanics0103 physical sciencesRenormalization group010306 general physics01 natural sciencesMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-24 | Physical Review D |