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The Polyakov loop and the hadron resonance gas model

E. Megias
(
- Barcelona, Autonoma U. and
- Barcelona, IFAE
)
,
E. Ruiz Arriola
(
- Granada U.
)
,
L.L. Salcedo
(
- Granada U.
)

Apr, 2012

5 pages

Published in:

Phys.Rev.Lett. 109 (2012) 151601

e-Print:

1204.2424 [hep-ph]

DOI:

10.1103/PhysRevLett.109.151601

Report number:

UAB-FT-707,
INT-PUB-12-018

View in:

ADS Abstract Service

reference search61 citations

Citations per year

Abstract: (arXiv)

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) \approx 1/2\sum_\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 150MeV

Note:

5 pages, 4 figures. Error in normalization corrected. Excited states included. Substantially revised

11.15.-q
11.10.Jj
11.10.Wx
12.38.Lg
hadron: resonance: gas
hadron: mass
heavy quark: mass
critical phenomena: deconfinement
Polyakov loop
lattice

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Figures(4)

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