Abstract
We extend the predictive soft-wall AdS/QCD model to a thermodynamic model by considering the black hole metric. A modified bulk vacuum expectation value and a modified coefficient for the quartic term in the bulk scalar potential are introduced to obtain a smooth dilaton solution for computing the spectral functions of the vector and axial-vector mesons. It is demonstrated that the peaks appearing in the spectral functions characterize the thermal mass spectra of vector and axial-vector mesons, where the location of the peak moves to a lower value and the width of the peak becomes wider when increasing the temperature. We observe that the peak disappears completely at the critical temperature around T c = 200 MeV, which implies the deconfinement of quark and the restoration of chiral symmetry breaking. A numerical study by fitting the spectral function in terms of the Breit-Wigner form has been made to show how the peak dissolves quantitatively when the temperature is increased to the critical point.
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ArXiv ePrint: 1112.5923
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Cui, LX., Takeuchi, S. & Wu, YL. Thermal mass spectra of vector and axial-vector mesons in predictive soft-wall AdS/QCD model. J. High Energ. Phys. 2012, 144 (2012). https://doi.org/10.1007/JHEP04(2012)144
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DOI: https://doi.org/10.1007/JHEP04(2012)144