QCD and the Hagedorn spectrum

Abstract

It is shown that large Nc QCD must have a Hagedorn spectrum (i.e. a spectrum of hadron which grows exponentially with the hadrons mass) provided that certain technical assumptions concerning the applicability of perturbation theory to a certain class of correlation functions apply. The basic argument exploits the interplay of confinement and asymptotic freedom.

16 pages, 1 figure. This version is expanded from the original version. Additional discussion has been added to clarify the central issues. Typos have been fixed. The appendix has been updated and greatly expanded.

References in corpus (11)

• Properties of the deconfining phase transition in SU(N) gauge theories
• Volume independence in large Nc QCD-like gauge theories
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Update of the Hagedorn mass spectrum
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N
• Phases of $\Nc= \infty$ QCD-like gauge theories on $S^3\times S^1$ and nonperturbative orbifold-orientifold equivalences
• From Super-Yang-Mills Theory to QCD: Planar Equivalence and its Implications
• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
• Finite Temperature Gauge Theory from the Transverse Lattice
• QCD strings and the thermodynamics of the metastable phase of QCD at large $N_c$

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• Large N Volume Independence and an Emergent Fermionic Symmetry
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Does the empirical meson spectrum support the Hagedorn conjecture?
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• The Hagedorn spectrum and large $N_c$ QCD in 2+1 and 3+1 dimensions
• Hadrons on the worldline, holography, and Wilson flow
• Center symmetry and Hagedorn spectrum
• Hadrons and Chiral Symmetry
• L-functions for Meromorphic Modular Forms and Sum Rules in Conformal Field Theory
• The thermodynamics of large-N QCD and the nature of metastable phases
• A note on the string spectrum at the Hagedorn temperature
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
• Testing the Influence of Surface Tension and Finite Width of QGP Bags on the QCD Matter EOS Properties at NICA Energies