On RG potential in Yang-Mills theories

Abstract

We construct an RG potential for N=2 supersymmetric SU(2) Yang-Mills theory, and extract a positive definite metric by comparing its gradient with the recently discovered beta-function for this system, thus proving that the RG flow is gradient in this four-dimensional field theory. We also discuss how this flow might change after supersymmetry breaking, provided the quantum symmetry group does not, emphasizing the non-trivial problem of asymptotic matching of automorphic functions to perturbation theory.

9 pages, LaTex

References in corpus (1)

• Two-Loop Beta Functions Without Feynman Diagrams

Cited by in corpus (11)

• Zamolodchikov asymptotic formula and instanton expansion in N=2 SUSY N_f=2N_c QCD
• Can Renormalization Group Flow End in a Big Mess?
• Modular invariance, universality and crossover in the quantum Hall effect
• On the Implications of Discrete Symmetries for the Beta Function of Quantum Hall Systems
• $\Gamma (2)$ modular symmetry, renormalization, group flow and the quantum Hall effect
• Holographic theories at finite $\theta$-angle, CP-violation, glueball spectra and strong-coupling instabilities
• Renormalization of the vacuum angle in quantum mechanics, Berry phase and continuous measurements
• Stochastic formulation of the renormalization group: supersymmetric structure and topology of the space of couplings
• Meromorphic Scaling Flow of N=2 Supersymmetric SU(2) Yang-Mills with Matter
• RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM
• Heterotic T-Duality and the Renormalization Group