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Thermal mass spectra of vector and axial-vector mesons in predictive soft-wall AdS/QCD model

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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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Authors and Affiliations

  1. State Key Laboratory of Theoretical Physics(SKLTP), Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Science, Beijing, 100190, China

    Ling-Xiao Cui, Shingo Takeuchi & Yue-Liang Wu

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  1. Ling-Xiao Cui
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  2. Shingo Takeuchi
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  3. Yue-Liang Wu
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Correspondence to Shingo Takeuchi.

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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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