Higher covariant derivatives, exact beta-function and finiteness
Seminars
Seminar “Quantum Field Theory”
Date and Time: Wednesday, 28 October 2020, at 11:00 AM
Venue: Online conference on Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Higher covariant derivatives, exact beta-function and finiteness»
Speaker: A. E. Kazantsev (MSU)
Abstract:
In this work we present the calculation of the two-loop anomalous dimension in N=1 supersymmetric gauge theory regularized by higher covariant derivatives. With a recently obtained all-order proof of the exact Novikov—Shifman—Vainshtein—Zakharov beta-function, we also give the three-loop beta-function in the scheme with minimal subtraction of divergent logarithms. The anomalous dimension obtained depends on a number of parameters that define the regularization, namely the Pauli—Villars masses and the form of regulator functions. We show that with a certain choice of these parameters one-loop finite theory can be made two-loop finite (which, as we argue, is generally not so). In this case the beta-function vanishes up to and including the three-loop approximation.