Deconfinement and chiral symmetry restoration in QCD with fundamental and adjoint fermions

Karsch, Frithjof

doi:10.22323/1.001.0008

Cited by 7 publications

(9 citation statements)

References 12 publications

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“…In the T − µ plane, we observe that for µ = , there is a second order chiral phase transition at a temperature T = Tc. This second order phase transition is consistent with the lattice QCD simulations and several QCD models [15,16]. On the other hand, for T = , we observe that the chiral symmetry restoration, which occurs at a nite chemical potential µ = µc, is a transition of rst order.…”

Section: Discussionsupporting

confidence: 89%

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Chiral symmetry restoration and the critical end point in QCD

Ibarra

Enriquez-Perez-Gavilan

Rodriguez

et al. 2017

Open Physics

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Abstract:In a system of quark matter we study the chiral phase transition, the behavior of the chiral and quark number susceptibility and the CEP at nite temperature and chemical potential. This is done within the framework of two-avor Nambu and Jona-Lasinio model. We have calculated the chiral quark condensate and the quark number density and, with this, we have found the phase transition type. With these quantities we have determined the phase diagram for QCD and the CEP.

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Section: Discussionsupporting

confidence: 89%

“…The most powerful tool to study the QCD phase diagram at nite temperature is the lattice QCD simulation [15,16]. With this technique it is possible to analyze the QCD phase diagram of strongly interacting matter under extreme conditions of density and temperature [6,11].…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry restoration and the critical end point in QCD

Ibarra

Enriquez-Perez-Gavilan

Rodriguez

et al. 2017

Open Physics

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“…The phase transition of QCD matter at finite temperature from hadrons to a quark-gluon plasma was established long ago [1,2,3] (for a review see e.g. [4]). The precise definition of the phase transition requires a proper identification of the relevant order parameters.…”

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confidence: 99%

Dimension-2 condensates and Polyakov Chiral Quark Models

2007

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We address a possible relation between the expectation value of the Polyakov loop in pure gluodynamics and full QCD based on Polyakov Chiral Quark Models where constituent quarks and the Polyakov loop are coupled in a minimal way. To this end we use a center symmetry breaking Gaussian model for the Polyakov loop distribution which accurately reproduces gluodynamics data above the phase transition in terms of dimension 2 gluon condensate. The role played by the quantum and local nature of the Polyakov loop is emphasized.

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“…12.39.Fe , 11.10.Wx, 12.38.Lg The phase transition of QCD matter at finite temperature from hadrons to a quark-gluon plasma was established long ago [1,2,3] (for a review see e.g. [4]). The precise definition of the phase transition requires a proper identification of the relevant order parameters.…”

mentioning

confidence: 99%

“…[4]). The precise definition of the phase transition requires a proper identification of the relevant order parameters.…”

mentioning

confidence: 99%

Dimension-2 condensates and Polyakov Chiral Quark Models

Megías

Arriola

Salcedo

The IVth International Conference on Quarks and Nuclear Physics

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Abstract. We address a possible relation between the expectation value of the Polyakov loop in pure gluodynamics and full QCD based on Polyakov Chiral Quark Models where constituent quarks and the Polyakov loop are coupled in a minimal way. To this end we use a center symmetry breaking Gaussian model for the Polyakov loop distribution which accurately reproduces gluodynamics data above the phase transition in terms of dimension 2 gluon condensate. The role played by the quantum and local nature of the Polyakov loop is emphasized. . 12.39.Fe , 11.10.Wx, 12.38.Lg The phase transition of QCD matter at finite temperature from hadrons to a quark-gluon plasma was established long ago [1,2,3] (for a review see e.g. [4]). The precise definition of the phase transition requires a proper identification of the relevant order parameters. In the heavy quark limit, the Polyakov loop vacuum expectation value signals the breaking of the center symmetry corresponding to the deconfinement phase transition when changing from zero to one [5]. In the limit of light quarks the chiral condensate determines the restoration of chiral symmetry when the chiral condensate vanishes above the critical temperature. In the real QCD case with dynamical massive quarks both chiral and center symmetries are explicitly broken, and neither the Polyakov loop nor the chiral condensate are truly order parameters, although a rather sharp crossover is expected across the phase transition for these quantities [4]. PACSPolyakov-Chiral Quark Models allow to study the interplay between chiral symmetry restoration and center symmetry breaking [6] in a quantitative manner [7,8,9,10,11,12,13]. At zero temperature the constituent quark mass, M , is dynamically generated via the spontaneous breaking of chiral symmetry, inducing a exponentially small, ∼ e −M/T , breaking of the center symmetry at low temperatures [9,10,11]. This provides the rationale for keeping the Polyakov loop as an order parameter also in the unquenched case. However, although the coupling of the Polyakov loop to quarks is rather unique, details regarding the postulated purely gluonic action differ [7,8,9,10,11,12,13]. This additional information is beyond the chiral quark model capabilities and must always be postulated. In this regard, it seems natural to constrain the gluonic action to reproduce pure gluodynamics results. In the present work we address a possible relation between the expectation value of the Polyakov loop in pure gluodynamics and full QCD based on the coupling to quarks generated by the fermion determinant within a Polyakov NJL model (PNJL).One of the problems one must also face when comparing models with lattice data has to do with the difficult but necessary renormalization of the Polyakov loop. Indeed, after renormalization the Polyakov loop falls outside the unitary group [14,15]. The spontaneous breaking of the center symmetry above some critical temperature occurs already at the level of pure gluodynamics and is interpreted as the signal of deconfinement [16]. Ful...

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Deconfinement and chiral symmetry restoration in QCD with fundamental and adjoint fermions

Cited by 7 publications

References 12 publications

Chiral symmetry restoration and the critical end point in QCD

Chiral symmetry restoration and the critical end point in QCD

Dimension-2 condensates and Polyakov Chiral Quark Models

Dimension-2 condensates and Polyakov Chiral Quark Models

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