QCD on a small circle

2017/07/27 by Kyle Aitken, Aleksey Cherman, Erich Poppitz +1 · 3 citations
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Bootstrap model #Exponential function #Glueball #Hadron #Inverse #Meson #Particle decay #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.96.096022

published as Phys. Rev. D 96, 096022 (2017) · 59+20 pages, 9 figures

arxiv created 2017/07/27 · openalex publication_date 2017/11/27 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a nonperturbative mass gap and the spontaneous breaking of chiral symmetry in this regime. Here, we study the rich spectrum of hadronic states, including glueball, meson, and baryon resonances. We find an exponentially growing Hagedorn density of states, as well as the emergence of nonperturbative energy scales given by iterated exponentials of the inverse Yang-Mills coupling g².

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Cited by

• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales
• Non-Abelian sigma models from Yang–Mills theory compactified on a circle