Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter

Understand

Within the functional renormalization group approach we study the effective QFT of Einstein gravity and one self-interacting scalar coupled to N_f Dirac fermions.

• We include in our analysis the matter anomalous dimensions induced by all the interactions and analyze the highly non linear beta functions determining the renormalization flow.
• We find the existence of a non trivial fixed point structure both for the gravity and the matter sector, besides the usual gaussian matter one.
• This suggest that asymptotic safety could be realized in the gravitational sector \emph{and} in the standard model.