Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Cui, Zhu-Fang; Feng-Yao, Hou; Shi, Yanmeng; Wang, Yong-Long; Zong, Hong-Shi

doi:10.1016/j.aop.2015.03.025

Cited by 49 publications

(30 citation statements)

References 207 publications

(349 reference statements)

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“…1. On the other hand, the vacuum of QCD is also difficult to characterize, one possible way is using several non-perturbative objects, such as various susceptibilities, which are the linear responses of the QCD condensate (such as the quark condensate ψ ψ , which is also called as chiral condensate, since it is the order parameter for the chiral phase transition in the chiral limit) to various external fields [40]. Here the chiral susceptibility with respect to m, which is defined as…”

Section: Dyson-schwinger Equations and The Qcd Chiral Phase Transmentioning

confidence: 99%

Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD

Cui

Zhou

et al. 2019

Nuclear Physics B

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Within the framework of Dyson-Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in the chiral limit case (the current quark mass m = 0), the absolute value of quark condensate decreases for smaller volumes, and more interestingly, so does the pseudo-critical temperature Tc(µ = 0), which is in agreement with the Polyakov Nambu-Jona-Lasinio model result and opposite to the Polyakov linear sigma model prediction. These conclusions hold for m > 0 case in our calculations. Moreover, the results of pCEP as a function of different volumes show that T of pCEP also decreases for smaller volumes, but µ of pCEP will increase, which are qualitatively more close to Polyakov linear sigma model results. For our model setup, results for systems with a size larger than (5 fm) 3 closely approximate those from infinite volume, but if the volume is smaller, the corrections are non-negligible, even significantly affect signatures of the results from an infinite system. There also exists some possibility that, if the system size is too small, the whole phase transition would be crossover, which means no pCEP exists at all. It is no doubt that, finite volume effects deserve further researches.

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Section: Dyson-schwinger Equations and The Qcd Chiral Phase Transmentioning

confidence: 99%

Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD

Cui

Zhou

et al. 2019

Nuclear Physics B

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“…As the linear response of the physical system to some external field, susceptibility is often measured to study the properties of the related system. Therefore the studies of various susceptibilities are very important on the theoretical side, which are widely used to study the phase transitions of strongly interacting matter [35]. The various susceptibilities are defined as:…”

Section: Quark Number Susceptibility Derivationmentioning

confidence: 99%

Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model *

2019

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We modified the original Nambu-Jona-Lasinio model by considering the feedback of quark propagator on the coupling. By doing this, we found that the chiral condensate at finite temperature calculated from Lattice QCD can be well fitted by this modified NJL model. With this model, we calculate the susceptibilities of the baryon, charge and strangeness as a function of temperature and baryon chemical potential in the QCD phase diagram. The baryon number susceptibilities are found to be of the greatest magnitude, whereas the strangeness susceptibilities have the smallest divergence dominating area due to the large strange quark mass. Furthermore, the strange quarks chemical potential is found to be of minor influence on the susceptibilities. Finally, we studied the energy dependence of these susceptibilities along the chemical freeze-out line obtained from heavy-ion collisions experiments.

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“…Therefore the studies of var- ious susceptibilities are very important on the theoretical side, which are widely used to study the phase transitions of strongly interacting matter [30]. So here we introduce several kinds of susceptibilities: the chiral susceptibility χ s , the quark number susceptibility χ q , the thermal susceptibility χ T , the vector-scalar susceptibility χ vs , and the susceptibilities χ m and χ n (for mathematical convenience) defined as follows [31]:…”

Section: Susceptibilitiesmentioning

confidence: 99%

Critical behaviors near the (tri-)critical end point of QCD within the NJL model

Cui

et al. 2015

Eur. Phys. J. C

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We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and tricritical point (TCP) of quantum chromodynamics. The multi-solution region of the Nambu and Wigner ones is determined in the phase diagram for the massive and massless current quark, respectively. We use the various susceptibilities to locate the CEP/TCP and then extract the critical exponents near them. Our calculations reveal that the various susceptibilities share the same critical behaviors for the physical current quark mass, while they show different features in the chiral limit.

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Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Cited by 49 publications

References 207 publications

Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD

Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD

Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model *

Critical behaviors near the (tri-)critical end point of QCD within the NJL model

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