# Does the empirical meson spectrum support the Hagedorn conjecture

@article{Cohen2012DoesTE,
title={Does the empirical meson spectrum support the Hagedorn conjecture},
author={Thomas D. Cohen and Vojtvech Krejvcivr'ik},
journal={Journal of Physics G},
year={2012},
volume={39},
pages={055001}
}
• Published 11 July 2011
• Physics
• Journal of Physics G
It has long been conjectured that strong interactions give rise to a Hagedorn spectrum and theoretical arguments have been presented in support of Hagedorn spectrum in large Nc QCD. This paper discusses the extent to which the meson spectrum should be viewed as evidence for a Hagedorn spectrum and argues that data do not provide a strong evidence for the Hagedorn conjecture. The conclusion is based on three reasons. It is shown that ‘realistic’ quark models have a spectrum in which the number…
6 Citations

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## References

SHOWING 1-10 OF 21 REFERENCES
A relativistic quark model for mesons with an instanton-induced interaction
• Physics
• 2000
Abstract:We present new results of a relativistic quark model based on the Bethe-Salpeter equation in its instantaneous approximation. Assuming a linearly rising confinement potential with an
Update of the Hagedorn mass spectrum
• Physics
• 2004
We present an update of the Hagedorn hypothesis of the exponential growth of the number of hadronic resonances with mass. We use the newest available experimental data for the nonstrange mesons and
Conformal invariance and degrees of freedom in the QCD string.
• Physics
Physical review letters
• 1994
It is demonstrated that the Hagedorn-like growth of the number of observed meson states can be used to constrain the degrees of freedom of the underlying effective QCD string, and suggests that conformal invariance and modular invariance are indeed reflected in the hadronic spectrum.
Thermodynamics of the QCD plasma and the large-N limit.
The results for SU(N) Yang-Mills theories with N=3, 4, 5, 6, and 8 colors show a very mild dependence on N, supporting the idea that the QCD plasma could be described by models based on the large-N limit.
The Hagedorn temperature Revisited
• Physics
• 2011
The Hagedorn temperature, TH is determined from the number of hadronic resonances including all mesons and baryons. This leads to a stable result TH = 174 MeV consistent with the critical and the
Hadronic density of states from string theory.
• Physics
Physical review letters
• 2003
We present an exact calculation of the finite temperature partition function for the hadronic states corresponding to a Penrose-Güven limit of the Maldacena-Nùñez embedding of the N=1 super
Hadronic matter near the boiling point
SummaryHadron collisions above ∼10 GeV/c primary laboratory momentum show an interesting global aspect (i.e. when averaged over all final channels): they can be described as a superposition of a