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Some Exact Results in QCD-like Theories

2021/04/30 by Hitoshi Murayama · 37 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral symmetry breaking #Lambda #Massless particle #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Renormalization group #Supersymmetry #Symmetry breaking #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.126.251601

published in Physical Review Letters 126(25), 251601 (American Physical Society) · 6 pages, 2 figures. Argument strengthened with Naive Dimensional Analysis. A reference added. Several typos fixed. Version accepted for publication in Physical Review Letters

arxiv created 2021/06/19 · openalex publication_date 2021/06/23 · arxiv updated 2021/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

I propose a controlled approximation to QCD-like theories with massless quarks by employing supersymmetric QCD perturbed by anomaly-mediated supersymmetry breaking. They have identical massless particle contents. Thanks to the ultraviolet insensitivity of anomaly mediation, dynamics can be worked out exactly when m\ensuremath≪\mathrm\ensuremathΛ, where m is the size of supersymmetry breaking and \mathrm\ensuremathΛ the dynamical scale of the gauge theory. I demonstrate that chiral symmetry is dynamically broken for Nf\ensuremath≤(3)/(2)Nc while the theories lead to nontrivial infrared fixed points for larger number of flavors. While there may be a phase transition as m is increased beyond \mathrm\ensuremathΛ, qualitative agreements with expectations in QCD are encouraging and suggest that two limits m\ensuremath≪\mathrm\ensuremathΛ and m\ensuremath≫\mathrm\ensuremathΛ may be in the same universality class.

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