The Hagedorn spectrum and large $N_c$ QCD in 2+1 and 3+1 dimensions

Abstract

We show that a Hagedorn spectrum (i.e., spectrum where the number of hadrons grows exponentially with the mass) emerges automatically in large $N_c$ QCD in 2+1 and 3+1 dimensions. The approach is based on the study of Euclidean space correlation functions for composite operators constructed from quark and gluon fields and exploits the fact that the short time behavior of the correlators is known in QCD. The demonstration relies on one critical assumption: that perturbation theory accurately describes the trace of the logarithm of a matrix of point-to-point correlation functions in the regime where the perturbative corrections to the asymptotically free value are small.

18 pages, 5 figures

References in corpus (4)

• Properties of the deconfining phase transition in SU(N) gauge theories
• QCD and the Hagedorn spectrum
• 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
• Hadrons on the worldline, holography, and Wilson flow
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Center symmetry and Hagedorn spectrum
• The thermodynamics of large-N QCD and the nature of metastable phases
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories