Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive Soft-Wall AdS/QCD Model

Dec, 2011
17 pages
Published in:
  • JHEP 04 (2012) 144
e-Print:

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Abstract: (arXiv)
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 Tc=200T_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.
Note:
  • 20 pages, 8 figures, chiral symmetry restoration is explained in more detail, references added, published version in JHEP
  • quantum chromodynamics: model
  • spectral representation
  • model: thermodynamical
  • symmetry breaking: chiral
  • quark: deconfinement
  • critical phenomena
  • anti-de Sitter
  • meson: mass spectrum
  • Breit-Wigner
  • black hole