Nonlinear Regge trajectories and saturation of the Hagedorn spectrum

Abstract

We argue that two seemingly different phenomena, namely the well-known saturation of the Hagedorn exponential distribution and the less familiar saturation of Regge trajectories at resonance masses $m\approx$ 2-2.5 GeV are related and have the same origin: quark deconfinement. We show that the slope of the real part of non-linear Regge trajectories determines the prefactor $f(m)$ in Hagedorn's resonance mass density distribution $\rho (m)$. While the Hagedorn distribution comes from statistics, Regge trajectories contain dynamics.

arXiv comment10 pages, 6 figures, 1 table

References in corpus (13)

• Update of the Hagedorn mass spectrum
• Melting Hadrons, Boiling Quarks
• Different Hagedorn temperatures for mesons and baryons from experimental mass spectra, compound hadrons, and combinatorial saturation
• In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• The Hagedorn temperature Revisited
• Analytic model of Regge trajectories
• Baryonic Regge trajectories with analyticity constraints
• On the Thermodynamics of Hot Hadronic Matter
• Does the empirical meson spectrum support the Hagedorn conjecture?
• Hagedorn bag-like model with a crossover transition meets lattice QCD
• On the Hagedorn Temperature in Holographic Confining Gauge Theories
• Nuclear and Quark Matter at High Temperature

Cited by in corpus (1)

• On incorporation of heavy-quark mass into soft-wall holographic models