6–13 Jul 2022
Bologna, Italy
Europe/Rome timezone

Renormalization Group beta function and anomalous dimensions

8 Jul 2022, 12:30
15m
Room 7 (Gialla)

Room 7 (Gialla)

Parallel Talk Formal Theory Formal Theory

Speaker

Oliver Witzel (University Siegen)

Description

The renormalization group (RG) beta function describes the running of the renormalized coupling and connects the ultraviolet and infrared regimes of quantum field theories. Performing numerical lattice field theory simulations we use gradient flow measurements to determine the RG $\beta$ function nonperturbatively for SU(3) gauge systems with $N_f$ = 2, 4 and 6 flavors in the fundamental representation. In addition we obtain the anomalous dimension as a function of the running coupling. Surprisingly, both the beta function and the anomalous dimensions follow approximately the 1-loop perturbative predictions.

In-person participation Yes

Primary author

Oliver Witzel (University Siegen)

Presentation materials