Abstract
We derive a holographic soft-wall approach in five dimensional AdS-Schwarzschild space for the description of mesons at finite temperature. In this first application we consider the small temperature limit and derive analytical expression for the mass spectrum of mesons with adjustable quantum numbers $n$ (radial number), $L$ (angular orbital momentum) and $J$ (total angular momentum). We explicitly separate the contribution at zero temperature and the leading order temperature correction. The temperature corrections arise from the temperature dependence of the dilaton parameter (which is the parameter of spontaneous breaking of chiral symmetry related to the pseudoscalar meson decay constant) and the warping of the AdS metric due to temperature. We extend our results to any hadron with integer spin (tetraquarks, dibaryons, etc.). We present numerical analysis for the temperature dependence of meson masses and form factors.
Highlights
The study of hadron properties at finite temperature is a promising task, since it allows for a deeper understanding of the evolution of the early Universe, the formation of hadronic matter and its phase transitions
The temperature corrections arise from the temperature dependence of the dilaton parameter and the warping of the AdS metric due to temperature
We argue that in order to reproduce a temperature behavior of quark condensate one should include temperature dependence of the dilaton field, which is the parameter of spontaneous breaking of chiral symmetry related to the pseudoscalar meson decay constant and the warping of the AdS metric due to temperature
Summary
The study of hadron properties at finite temperature is a promising task, since it allows for a deeper understanding of the evolution of the early Universe, the formation of hadronic matter and its phase transitions. [8] in-medium properties of mesons have been studied at finite temperature and baryon chemical potential within SW AdS/QCD model with modified dilaton field and holographic potential (by adding the quartic scalar term) in order to obtain the correct form of chiral symmetry breaking and correct spectrum. We argue that in order to reproduce a temperature behavior of quark condensate one should include temperature dependence of the dilaton field, which is the parameter of spontaneous breaking of chiral symmetry related to the pseudoscalar meson decay constant and the warping of the AdS metric due to temperature. We propose a specific T-dependence of the dilaton scaling parameter κ We base this choice on the idea that κ2 as a parameter of spontaneous breaking of chiral symmetry is related in the soft-wall AdS/QCD approach to the quark condensate.
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