Thermal properties of light mesons from holography

Abstract

The thermal properties of light mesons, including the temperature dependence of their masses (both screening and pole masses) and thermal widths, are studied in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. By solving the spatial correlation functions, we extract the screening masses ($m_{\mathrm{scr}}$) from their poles. The screening masses of pseudo-scalar ($\pi$) and axial-vector ($a_1$) mesons increase almost monotonously with the increase of temperature. The screening masses of scalar ($\sigma$) and vector ($\rho$) mesons decrease at low temperature and increase at high temperature. The pole masses ($m_{\mathrm{pole}}$) and the thermal widths ($\Gamma$) are extracted from the temporal correlation functions and the corresponding spectral functions. The results indicate that the pole masses have local minima at low temperature and increase at high temperature. The thermal widths increase rapidly above the chiral crossover temperature $T_{cp}$, indicating the dissociations of mesons at high temperature. Furthermore, the degeneration of the chiral partners ($\pi$ and $\sigma$, $\rho$ and $a_1$) above $T_{cp}$ is observed from the screening and pole masses, revealing the chiral symmetry restoration at the hadronic spectrum level. Finally, we numerically verify that the spectral functions in the temporal regime are strongly related to the quasi-normal modes with complex frequencies ${\omega }_0=m_{\mathrm{pole}}-i\Gamma /2$.

32 pages, 10 figures

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• Spontaneous chiral symmetry breaking in holographic soft wall models
• Rotation effect on the deconfinement phase transition in holographic QCD
• Thermalization and prethermalization in the soft-wall AdS/QCD model
• Vector meson spectral function in a dynamical AdS/QCD model
• $a_1$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model
• The hadron spectra and pion form factor in dynamical holographic QCD model with anomalous 5D mass of scalar field
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Non-equilibrium dynamics of Goldstone excitation from holography
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD