One-loop divergences of effective action in 6 , Supersymmetric Four-derivative Gauge Theory
A.S. Budekhina (Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia, Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, Russia); B.S. Merzlikin (Laboratory of Applied Mathematics and Theoretical Physics, Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia, Department of Mathematics and Mathematical Physics, Tomsk Polytechnic University, Tomsk, Russia)
We consider six-dimensional higher-derivative supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimensional harmonic superspace to study the effective action in the theory. Using the dimensional regularization scheme we analyze the one-loop divergent contributions to the effective action. We demonstrate that UV behavior is determined by the higher-derivative term for gauge multiplet sector.
