Speaker
Marija Mađor-Božinović
(University of Zagreb)
Description
Dimensional Regularization is one of the most commonly employed schemes for practical calculations in perturbative quantum field theories. In this scheme, however, the γ5 Dirac matrix needs to remain purely 4-dimensional in order to be able to describe theories with chiral anomalies, which are
necessary due to the fact that the existence of chiral fermions is a fundamental fact of nature. It is possible either to introduce
inconsistencies or to keep the mathematical rigor with Breitenlohner -Maison -`t-Hooft - Veltman scheme, with the consequence of breaking gauge and BRST symmetry. However, it is possible to restore symmetries with a choice of proper local counterterms, which will be shown in the U(1) example up to the two-loop level.
Author
Marija Mađor-Božinović
(University of Zagreb)
