Abstract
Based on an IR-improved soft-wall AdS/QCD model for mesons, which provides a consistent prediction for the mass spectra of resonance scalar, pseudoscalar, vector and axial-vector mesons, we investigate its finite temperature effect. By analyzing the spectral function of mesons and fitting it with a Breit-Wigner form, we perform an analysis for the critical temperature of mesons. The back-reaction effects of bulk vacuum are considered and the thermal mass spectral function of resonance mesons is calculated based on the back-reaction improved action. A reasonable melting temperature is found to be Tc ≈ 150 ± 7 MeV, which is consistent with the recent results from lattice QCD simulations.
Highlights
The property of asymptotic freedom of quantum chromodynamics (QCD)[1] and the treatment of non-perturbative QCD have led to the QCD string approach, which has eventually initiated the motivation of string theory. with the development of string theory, it further motivated the advent of the AdS/CFT conjecture [2,3,4,5], which provides an alternative tool to access the gloomy non-perturbative region of QCD, that is so-called holographic QCD or AdS/QCD model based on the AdS/CFT
It is interesting to analyze the critical temperature of the bulk holographic AdS/QCD model built recently in[15], where the model incorporates both chiral symmetry breaking and linear confinement with the better predictions on the mass spectra of meson states
In obtaining the critical temperature, we have to take a range of the melting temperature with the condition between the hight (h) and width (Γ) of peak that: Γ/2 < h < Γ
Summary
The property of asymptotic freedom of quantum chromodynamics (QCD)[1] and the treatment of non-perturbative QCD have led to the QCD string approach, which has eventually initiated the motivation of string theory. with the development of string theory, it further motivated the advent of the AdS/CFT conjecture [2,3,4,5], which provides an alternative tool to access the gloomy non-perturbative region of QCD, that is so-called holographic QCD or AdS/QCD model based on the AdS/CFT. In Ref.[31,32,33], the scalar glueball and light mesons spectral have been analyzed in the soft-wall AdS/QCD model and the critical temperature at which the meson states dissociation was found to be about 40 − 60 MeV Such a low temperature is far from the deconfinement transition. To remedy this problem, we have investigated in [34, 35] the finite temperature effects for the metric IR-improved soft wall AdS/QCD models [13]. It is interesting to analyze the critical temperature of the bulk holographic AdS/QCD model built recently in[15], where the model incorporates both chiral symmetry breaking and linear confinement with the better predictions on the mass spectra of meson states. The coupling constant λ is related to the vacuum expectation value via the equation of motion vq ≡
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