2015/02/24 by Adi Armoni, Thomas D. Cohen, Srimoyee Sen
Mathematics · Physics and Astronomy · #Argument (complex analysis) #Black Holes and Theoretical Physics #Center (category theory) #Conjecture #Cosmology and Gravitation Theories #Crystallography #Gauge theory #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectrum (functional analysis) #Symmetry (geometry) #Theoretical physics #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.91.085007
published as Phys. Rev. D 91, 085007 (2015) · expanded version. few references and one author added
arxiv created 2015/02/24 · openalex publication_date 2015/04/06 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper explores the conjecture that large-Nc gauge theories have a Hagedorn spectrum, if, and only if, they are confining and possess an explicit or emergent center symmetry. Evidence in support of this conjecture is presented. Many classes of large-Nc gauge theories are considered. In all cases, we find that theories for which there exists a strong plausibility argument for a Hagedorn spectrum at large Nc are also believed to be confining and possess either an explicit center symmetry or have a strong plausibility argument for the existence of an emergent center symmetry at large Nc. Conversely, all theories we consider which are believed not to have a Hagedorn spectrum at large Nc, either were known to not be confining or else were believed to lack an emergent center symmetry. This is consistent with expectations based on the conjecture.