Delineating the conformal window

Abstract

We identify and characterise the conformal window in gauge theories relevant for beyond the standard model building, e.g. Technicolour, using the criteria of metric confinement and causal analytic couplings, which are known to be consistent with the phase diagram of supersymmetric QCD from Seiberg duality. Using these criteria we find perturbation theory to be consistent throughout the predicted conformal window for several of these gauge theories and we discuss recent lattice results in the light of our findings.

8 pages, 4 figures

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• Higher-Loop Structural Properties of the $\beta$ Function in Asymptotically Free Vectorial Gauge Theories
• Higher-Loop Calculations of the Ultraviolet to Infrared Evolution of a Vectorial Gauge Theory in the Limit $N_c\to \infty$, $N_f\to \infty$ with $N_f/N_c$ Fixed
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• A Perturbative Realization of Miransky Scaling
• Fixed point merger in the SU(N) gauge beta functions
• If the Weak Were Strong and the Strong Were Weak
• Supersymmetric Extension of Technicolor & Fermion Mass Generation
• W' and Z' limits for Minimal Walking Technicolor
• Center vortices and the $\mathrm{SU}(3)$ conformal window