Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-25
JHEP08, 138, (2011)
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 5 figures
Scientific paper
10.1007/JHEP08(2011)138
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.
Cohen Thomas D. .
Krejčiřík Vojtěch
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