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Chiral Phase Transition in the Soft-Wall Model of AdS/QCD

Kaddour Chelabi; Zhen Fang; Mei Huang; Danning Li; Yue-Liang WuaSubjects: Physics >> Nuclear Physics

We investigate the chiral phase transition in the soft-wall model of AdS/QCD at zero chemical potential for two-flavor and three-flavor cases, respectively. We show that there is no spontaneous chiral symmetry breaking in the original soft-wall model. After detailed analysis, we find that in order to realize chiral symmetry breaking and restoration, both profiles for the scalar potential and the dilaton field are essential. The scalar potential determines the possible solution structure of the chiral condensate, except the mass term, it takes another quartic term for the two-flavor case, and for the three-flavor case, one has to take into account an extra cubic term due to the t'Hooft determinant interaction. The profile of the dilaton field reflects the gluodynamics, which is negative at a certain ultraviolet scale and approaches positive quadratic behavior at far infrared region. With this set-up, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature can be realized perfectly. In the two-flavor case, it gives a second order chiral phase transition in the chiral limit, while the transition turns to be a crossover for any finite quark mass. In the case of three-flavor, the phase transition becomes a first order one in the chiral limit, while above sufficient large quark mass it turns to be a crossover again. This scenario agrees exactly with the current understanding on chiral phase transition from lattice QCD and other effective model studies. |

Subjects: Physics >> Nuclear Physics

We study the chiral phase transition in the presence of the chiral chemical potential?μ5?using the two-flavor Nambu--Jona-Lasinio model. In particular, we analyze the reason why one can obtain two opposite behaviors of the chiral critical temperature as a function of?μ5?in the framework of different regularization schemes. We compare the modifications of the chiral condensate and the critical temperature due to?μ5?in different regularization schemes, analytically and numerically. Finally, we find that, for the conventional hard-cutoff regularization scheme, the increasing dependence of the critical temperature on the chiral chemical potential is an artifact, which is caused by the fact that it does not include complete contribution from the thermal fluctuations. When the thermal contribution is fully taken into account, the chiral critical temperature should decrease with?μ5. |

Realization of chiral symmetry breaking and restoration in holographic QCD

Kaddour Chelabi; Zhen Fang; Mei Huang; Danning Li; Yue-Liang WuSubjects: Physics >> Nuclear Physics

With proper profiles of the scalar potential and the dilaton field, for the first time, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature are correctly realized in the holographic QCD framework. In the chiral limit, a nonzero chiral condensate develops in the vacuum and decreases with temperature, and the phase transition is of 2nd order for two-flavor case and of 1st order for three-flavor case. In the case of explicit chiral symmetry breaking, in two-flavor case, the 2nd order phase transition turns to crossover with any nonzero current quark mass, and in three-flavor case, the 1st order phase transition turns to crossover at a finite current quark mass. The correct description of chiral symmetry breaking and restoration makes the holographic QCD models more powerful in dealing with non-perturbative QCD phenomena. This framework can be regarded as a general set up in application of AdS/CFT to describe conventional Ginzburg-Landau-Wilson type phase transitions, e.g. in condensed matter and cosmology systems. |

Fluid/gravity correspondence: A nonconformal realization in compactified D4 branes

Chao Wu; Yidian Chen; Mei HuangSubjects: Physics >> Nuclear Physics

We develop the framework of boundary derivative expansion (BDE) formalism of fluid/gravity correspondence in compactified D4-brane system, which is a nonconformal background used in top-down holographic QCD models. Such models contain the D4-D6 model and the Sakai-Sugimoto (SS) model, with the background of the compactified black D4 branes under the near horizon limit. By using the dimensional reduction technique, we derive a 5D Einstein gravity minimally coupled with 3 scalar fields from the 10D D4-brane background. Following the BDE formalism of fluid/gravity correspondence in the conformal background, we directly derive all the first order transport coefficients for nonconformal gluonic matter. The results of the ratio of the bulk to shear viscosity and the sound speed agree with those obtained from the Green-Kubo method. This agreement guarantees the validity of the BDE formalism of fluid/gravity duality in the nonconformal D-brane background, which can be used to calculate the second order transport coefficients in nonconformal background. |

Survival of charged rho condensation at high temperature and density

Hao Liu; Lang Yu; Mei HuangSubjects: Physics >> Nuclear Physics

The charged vector?ρ?mesons in the presence of external magnetic fields at finite temperature?T?and chemical potential?μ?have been investigated in the framework of the Nambu--Jona-Lasinio model. We compute the masses of charged?ρ?mesons numerically as a function of the magnetic field for different values of temperature and chemical potential. The self-energy of the?ρ?meson contains the quark-loop contribution, i.e. the leading order contribution in?1/Nc?expansion. The charged?ρ?meson mass decreases with the magnetic field and drops to zero at a critical magnetic field?eBc, which means that the charged vector meson condensation, i.e. the electromagnetic superconductor can be induced above the critical magnetic field. Surprisingly, it is found that the charged?ρcondensation can even survive at high temperature and density. At zero temperature, the critical magnetic field just increases slightly with the chemical potential, which indicates that the charged?ρ?condensation might occur inside compact stars. At zero density, in the temperature range?0.2?0.5?GeV, the critical magnetic field for charged?ρcondensation is in the range of?0.2?0.6?GeV2, which indicates that the high temperature electromagnetic superconductor could be created at LHC. |

Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes

Chao Wu; Yidian Chen; Mei HuangSubjects: Physics >> Nuclear Physics

We develop the boundary derivative expansion (BDE) formalism of fluid/gravity correspondence to nonconformal version through the compactified, near-extremal black D4-brane. We offer an explicit calculation of 9 second order transport coefficients, i.e., the?τπ,?τ?π,?τΠ,?λ1,2,3?and?ξ1,2,3?for the strongly coupled, uncharged and nonconformal relativistic fluid which is the holographic dual of compactified, near extremal black D4-brane. We also show that the nonconformal fluid considered in this work is free of causal problem and admits the relation?4λ1?λ2=2ητπ. |

Possible formation of high temperature superconductor at early stage of heavy-ion collisions

Hao Liu; Lang Yu; Maxim Chernodu; Mei HuangSubjects: Physics >> Nuclear Physics

We investigate the effect of the inverse magnetic catalysis (IMC) on the charged?ρ?meson condensation at finite temperature in the framework of the Nambu--Jona-Lasinio model, where mesons are calculated to the leading order of?1/Nc?expansion by summing up infinity quark-loops. IMC for chiral condensate has been considered in three different ways, i.e. fitting Lattice data, using the running coupling constant and introducing the chiral chemical potential, respectively. It is observed that, with no IMC effect included, the critical magnetic field?eBc?for charged?ρ?condensation increases monotonically with the temperature. However, including IMC substantially affects the polarized charged?ρ?condensation around the critical temperature?Tc?of chiral phase transition, the critical magnetic field?eBc?for charged?ρ?condensation decreases with the temperature firstly, reaches to a minimum value around?Tc, then increases with the temperature. Our calculation indicates that the charged?ρ?condensation can exist in the temperature region of?1?1.5Tc?with critical magnetic field?eBc?0.15?0.3GeV2, which suggests that high temperature superconductor might be created through non-central heavy ion collisions at LHC energies. We also show that a growing electric conductivity in early stage of non-central heavy-ion collisions substantially delays the decay of strong magnetic field, which is helpful for the formation of the high temperature superconductor. |

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