Infrared Consistency of NSVZ and DRED Supersymmetric Gluodynamics

Abstract

Pade approximant methods are applied to known terms of the DRED beta- function for N = 1 supersymmetric SU(3) Yang-Mills theory. Each of the [N|M] approximants with N + M less than or equal to 4 (M not equal to zero) constructed from this series exhibits a positive pole which precedes any zeros of the approximant, consistent with the same infrared-attractor pole behaviour known to characterise the exact NSVZ beta-function. A similar Pade-approximant analysis of truncations of the NSVZ series is shown consistently to reproduce the geometric-series pole of the exact NSVZ beta function.

LaTeX, 15 pages

References in corpus (2)

• Pade-Summation Approach to QCD Beta-Function Infrared Properties
• Estimate of the Three-Loop Perturbative Contribution to Inclusive Semileptonic b to u Decays

Cited by in corpus (8)

• Radiative Electroweak Symmetry-Breaking Revisited
• RG/Pade Estimate of the Three-Loop Contribution to the QCD Static Potential Function
• Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
• Renormalization-Group Improvement of Effective Actions Beyond Summation of Leading Logarithms
• Analysis of a Zero of a Beta Function Using All-Orders Summation of Diagrams
• Study of the Renormalization-Group Evolution of $\mathcal{N}=1$ Supersymmetric Gauge Theories Using Padé Approximants
• Pade Estimate of QCD's Infrared Boundary
• The Renormalization Group with Exact beta-Functions