2017/12/18 by S. S. Aleshin
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Coupling constant #Dimensional reduction #Dimensional regularization #Factorization #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Reduction (mathematics) #Regularization (linguistics) #Renormalization #Superfield #hep-th
paper · pdf · doi:10.1134/s1063779618050027
published in Physics of Particles and Nuclei 49(5), 966-968 (Pleiades Publishing) · 4 pages, contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2017, 31 July - 5 August, 2017)
arxiv created 2017/12/18 · openalex created_date 2018/01/05 · openalex publication_date 2018/09/01 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05
It is known that factorization of the β-function loop integrals into integrals of double total derivatives is an important ingredient needed for deriving the NSVZ relation by direct perturbative calculations in N = 1 SQED regularized by thehigher derivatives. It allows to relate the β-function and the anomalous dimension of the matter superfields defined in terms of the bare coupling constant. In this work we find the analog of this result in the case of using dimensional reduction regularization in the lowest orders. However, we demonstrate that in this case the NSVZ relation is not satisfied for the RG functions defined in terms of the bare coupling constant. Nevertheless, it is possible to impose boundary conditions to the renormalization constants determining the NSVZ scheme in the three-loop order for the RG functions defined in terms of the renormalized coupling constant.