Non-perturbative SQED beta function using functional renormalization group approach and the NSVZ exact beta function

Abstract

The renormalization group equations of massive $\mathcal{N}=1$ supersymmetric quantum electrodynamics (SQED) are studied using the functional renormalization group approach. A non-perturbative form of the beta function has been computed via a derivative expansion of the effective action. In the local potential approximation, the functional form of the non-perturbative beta function is closely related to the form of the NSVZ exact beta function; this relationship is exact if an effective fine-structure constant is defined. The non-massive limit of the same is also analyzed. Furthermore, the calculation of the beta function has been improved by incorporating the influence of momentum modes on the propagation of the superfields in the non-perturbative running of the electric charge, applying a second-order truncation for the derivative expansion, which we use to find the momentum contributions to the $\beta$ function. Again, we find the NSVZ relation for an effective fine-structure constant.

arXiv comment40 pages, 2 figures

References in corpus (21)

• Supersymmetric Dark Matter
• Exact evolution equation for the effective potential
• The nonperturbative functional renormalization group and its applications
• Optimisation of the exact renormalisation group
• Introduction to the functional RG and applications to gauge theories
• The minimal supersymmetric grand unified theory
• Renormalization Flow of Bound States
• NSVZ scheme with the higher derivative regularization for N=1 SQED
• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• The NSVZ beta-function and the Schwinger-Dyson equations for N=1 SQED with N_f flavors, regularized by higher derivatives
• Flow Equation for Supersymmetric Quantum Mechanics
• A class of the NSVZ renormalization schemes for $\mathcal{N}=1$ SQED
• Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge
• On the smallness of the cosmological constant in SUGRA models
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Convergence of Derivative Expansion in Supersymmetric Functional RG Flows
• On-shell renormalization scheme for $\mathcal{N}=1$ SQED and the NSVZ relation
• Functional Renormalization and $\overline{\text{MS}}$
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Functional renormalization group flows of $\mathcal{N}=1$ supersymmetric abelian gauge model with one chiral and one vector superfield