On the critical end point of QCD

Gavai, Rajiv V.; Gupta, Sourendu

doi:10.1103/physrevd.71.114014

Cited by 298 publications

(534 citation statements)

References 37 publications

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“…The success of such an approach in determining the location (T E , µ E ) of the critical ending point crucially depends on the convergence radius of the Taylor expansion around µ = 0 [8,10,12]. The convergence radius, in turn, is a function of the position of the singularities in the complex µ plane.…”

Section: Introductionmentioning

confidence: 99%

“…The major obstacle for direct Monte Carlo simulation is the well-known lack of positivity of the measure of the path integral defining QCD partition function at nonzero baryo-chemical potential µ -the sign problem. One of the methods to deal with this problem is to Taylor expand the QCD pressure in powers of µ around µ = 0, i.e., around the point at which direct Monte Carlo simulations are not hindered by the sign problem [8,10].…”

Section: Introductionmentioning

confidence: 99%

“…First principle lattice QCD calculations aimed at determining the location of the critical point on the T, µ (temperature, baryon-chemical potential) diagram have been attempted recently using several different techniques [7,8,9,10] (see Ref. [11] for review).…”

Section: Introductionmentioning

confidence: 99%

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QCD critical point and complex chemical potential singularities

Stephanov

2006

Phys. Rev. D

105

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The thermodynamic singularities of QCD in the plane of complex baryo-chemical potential µ are studied. Predictions are made using scaling and universality arguments in the vicinity of the massless quark limit. The results are illustrated by a calculation of complex µ singularities in a random matrix model at finite temperature. Implications for lattice QCD simulations aimed at locating the QCD critical point are discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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QCD critical point and complex chemical potential singularities

Stephanov

2006

Phys. Rev. D

105

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“…Both NA49 and PHENIX results are consistent with the independent particle emission scenario, whereas the result for STAR is close to the case of the quark coalescence model. Recently, lattice computations [15,16] have been performed to study hadronic fluctuations. These calculations predict an enhancement of fluctuation in the hadronic phase and suppression of fluctuations in the high temperature phase of the QGP.…”

Section: Net Charge Fluctuationsmentioning

confidence: 99%

Event-by-event fluctuations and the QGP phase transition

Nayak

2006

J. Phys. G: Nucl. Part. Phys.

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“…Although that result of Ref. [33] disfavors the existence of the CEP, to give a definite answer to whether the CEP exists or not, computations at higher µ are necessary (note that other lattice results using different approaches are consistent with the existence of the CEP [34,35,36,37]). …”

Section: Introductionmentioning

confidence: 99%

UA(1)anomaly in hot and dense QCD and the critical surface

et al. 2009

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We discuss the chiral phase transition in hot and dense QCD with three light flavors. Inspired by the well-known fact that the UA(1) anomaly could induce first order phase transitions, we study the effect of the possible restoration of the UA(1) symmetry at finite density. In particular, we explore the link between the UA(1) restoration and the recent lattice QCD results of de Forcrand and Philipsen, in which the first order phase transition region near zero chemical potential (µ) shrinks in the quark mass and µ space when µ is increased. Starting from the Ginzburg-Landau theory for general discussions, we then use the Nambu-Jona-Lasinio model for quantitative studies. With the partial UA(1) restoration modeled by the density dependent 't Hooft interaction, we fit the shrinking of the first order region found in de Forcrand and Philipsen's lattice calculation at low µ. At higher µ, the first order region might shrink or expand, depending on the scenarios. This raises the possibility that despite the shrinking of the first order region at lower µ, the QCD critical end point might still exist due to the expansion at higher µ. In this case, very high precision lattice data will be needed to detect the recently observed back-bending of the critical surface with the currently available analytic continuation or Taylor expansion approaches. Lattice computations could, however, test whether the UA(1) restoration is responsible for the shrinking of the first order region by computing the η ′ mass or the topological susceptibility at small µ.

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On the critical end point of QCD

Cited by 298 publications

References 37 publications

QCD critical point and complex chemical potential singularities

QCD critical point and complex chemical potential singularities

Event-by-event fluctuations and the QGP phase transition

UA(1)anomaly in hot and dense QCD and the critical surface

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