Journal
PHYSICAL REVIEW LETTERS
Volume 109, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.151601
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Funding
- Plan Nacional de Altas Energias [FPA2008-01430, FPA2011-25948]
- DGI [FIS2011-24149]
- Junta de Andalucia [FQM-225]
- Spanish Consolider-Ingenio Programme CPAN [CSD2007-00042]
- Institute for Nuclear Theory at the University of Washington, USA
- Institut fur Theoretische Physik at the Technische Universitat Wien, Austria
- Juan de la Cierva Program of the Spanish MICINN
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The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the hadron resonance gas model for the pressure. Specifically, L(T) approximate to (1/2)Sigma(alpha)g(alpha)e(-Delta alpha/T), where g(alpha) are the degeneracies and Delta(alpha) are the masses of hadrons with exactly one heavy quark (the mass of the heavy quark itself being subtracted). We show that this approximate sum rule gives a fair description of available lattice data with N-f = 2 + 1 for temperatures in the range 150 MeV < T < 190 MeV with conventional meson and baryon states from two different models. For temperatures below 150 MeV different lattice results disagree. One set of data can be described if exotic hadrons are present in the QCD spectrum while other sets do not require such states.
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