Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography

Cao, Xuanmin; Liu, Hui; Li, Danning

doi:10.1103/physrevd.102.126014

Cited by 14 publications

(26 citation statements)

References 117 publications

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“…The basic strategy of the algorithm is to transform the boundary problem to a iteration problem. More details can be found in our previous work [91]. In figure 1, we show the chiral phase transition in the chiral limit and with the physical quark mass.…”

Section: Jhep08(2021)005mentioning

confidence: 98%

“…However, an analytical analysis of the chiral condensation around the critical temperature has been given in ref. [91]. In the following, we will introduce the numerical strategy to solve it.…”

Section: Jhep08(2021)005mentioning

confidence: 99%

“…As we point out in ref. [91], c f is a redundant free parameter and can be set to zero for simplicity. π 0 is identified as the external source J π .…”

Section: Pseudo-scalar Channelmentioning

confidence: 99%

“…(3.5) is not available. It should be changed to the same form as the scalar meson [91]. It means that the pion and the scalar meson degenerate, and they share the same EOM.…”

Section: Screening Masses Of Light Mesonsmentioning

confidence: 99%

“…Thus, it is very interesting to investigate the thermal properties of the light mesons in the holographic framework, not only for their temporal correlation functions and dissociations but also for their spatial correlation functions and the relations with phase transitions. In our previous work [91], the thermal pole masses of the pion and the σ meson have been extracted in an IR-Improved AdS/QCD model through the spectral function method. The property of the decreasing pion pole mass is qualitatively consistent with Son and Stephanov's general analysis in refs.…”

Section: Introductionmentioning

confidence: 99%

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Thermal properties of light mesons from holography

Cao

Qiu

Liu

et al. 2021

J. High Energ. Phys.

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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 (Nf = 2) soft-wall AdS/QCD model. By solving the spatial correlation functions, we extract the screening masses (mscr) from their poles. The screening masses of pseudo-scalar (π) and axial-vector (a1) mesons increase almost monotonously with the increase of temperature. The screening masses of scalar (σ) and vector (ρ) mesons decrease at low temperature and increase at high temperature. The pole masses (mpole) and the thermal widths (Γ) 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 Tcp, indicating the dissociations of mesons at high temperature. Furthermore, the degeneration of the chiral partners (π and σ, ρ and a1) above Tcp 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 ω0 = mpole− iΓ/2.

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Section: Jhep08(2021)005mentioning

confidence: 98%

Section: Jhep08(2021)005mentioning

confidence: 99%

“…As we point out in ref. [91], c f is a redundant free parameter and can be set to zero for simplicity. π 0 is identified as the external source J π .…”

Section: Pseudo-scalar Channelmentioning

confidence: 99%

“…(3.5) is not available. It should be changed to the same form as the scalar meson [91]. It means that the pion and the scalar meson degenerate, and they share the same EOM.…”

Section: Screening Masses Of Light Mesonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermal properties of light mesons from holography

Cao

Qiu

Liu

et al. 2021

J. High Energ. Phys.

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Pion dynamics in a soft-wall AdS-QCD model

Cao

Baggioli

Liu

et al. 2022

J. High Energ. Phys.

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Pseudo-Goldstone modes appear in many physical systems and display robust universal features. First, their mass m obeys the so-called Gell-Mann-Oakes-Renner (GMOR) relation f2m2 = $$ H\overline{\sigma} $$ H σ ¯ , with f the Goldstone stiffness, H the explicit breaking scale and $$ \overline{\sigma} $$ σ ¯ the spontaneous condensate. More recently, it has been shown that their damping Ω is constrained to follow the relation Ω = m2Dφ, where Dφ is the Goldstone diffusivity in the purely spontaneous phase. Pions are the most paradigmatic example of pseudo-Goldstone modes and they are related to chiral symmetry breaking in QCD. In this work, we consider a bottom-up soft-wall AdS-QCD model with broken SU(2)L × SU(2)R symmetry and we study the nature of the associated pseudo-Goldstone modes — the pions. In particular, we perform a detailed investigation of their dispersion relation in presence of dissipation, of the role of the explicit breaking induced by the quark masses and of the dynamics near the critical point. Taking advantage of the microscopic information provided by the holographic model, we give quantitative predictions for all the coefficients appearing in the effective description. In particular, we estimate the finite temperature behavior of the kinetic parameter $$ \mathfrak{r} $$ r 2 defined as the ratio between the Goldstone diffusivity Dφ and the pion attenuation constant DA. Interestingly, we observe important deviations from the value $$ \mathfrak{r} $$ r 2 = 3/4 computed in chiral perturbation theory in the limit of zero temperature.

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Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. In this set up, we study the equations of motion of the string from the Nambu-Goto action. The motion of the string endpoint describes holographically the fluctuations and dissipation of a particle moving in a four-dimensional Minkowski space. From this model we compute the admittance and study its behavior against the temperature for some values of the chemical potential. In order to obtain the two-point correlations functions, and the mean square displacement we consider separately the bosonic and fermionic cases with µ < 0 and µ > 0, respectively. From the regularized mean square displacements of the bosonic and fermionic cases we obtain the short and large time approximations. For the short time case we find the usual ballistic regime, and for the long time case we obtain a sub-diffusive regime characteristic of a ultra-slow scaled Brownian motion. Combining the results from the admittance and mean square displacements we also study the fluctuation-dissipation theorem.

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Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography

Cited by 14 publications

References 117 publications

Thermal properties of light mesons from holography

Thermal properties of light mesons from holography

Pion dynamics in a soft-wall AdS-QCD model

Fluctuation and dissipation within a deformed holographic model with backreaction

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