Strong-coupling analysis of the chiral phase transition at finite chemical potential and finite temperature

Bilić, Neven; Demeterfi, Krešimir; Petersson, Bengt

doi:10.1016/0550-3213(92)90305-u

Cited by 49 publications

(88 citation statements)

References 17 publications

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“…With multistaggered fermions, T c is suppressed as discussed in Ref. [34]. It would be natural to expect that T c decreases as 1=g 2 grows, because hadrons and glueballs are more bound at larger couplings and thus the hadronic phase would be the most stable in the strong coupling limit.…”

Section: Expected Evolution Of the Phase Diagrammentioning

confidence: 99%

“…In order to apply this technique, we have to obtain the effective action in the bilinear form of the quark field. Such effective actions have been derived [28,29,31,[33][34][35][36] only with the leading order mesonic composite term in the 1=d expansion for color SU(3). We utilize the idea proposed by Azcoiti et al [32] to decompose the baryonic composite term.…”

Section: Effective Free Energy In the Strong Coupling Limit Of Lamentioning

confidence: 99%

“…The strong coupling limit lattice QCD effective action for finite and zero temperature (T 0) was also derived with the help of lattice chemical potential [18] and predicted a phase transition near the density of baryonic formation [30]. These investigations triggered many later analytic [21][22][23][31][32][33][34][35][36][37] and semianalytic [38] investigations of finite T and of lattice QCD in the strong coupling. It is worth mentioning that the Monte Carlo numerical results of lattice QCD should reproduce the analytic result of the strong coupling and the qualitative nature, and even quantitative nature for some physical values such as meson masses, are quite close to the reality of finite coupling results [25,39].…”

Section: Introductionmentioning

confidence: 99%

“…One of the most instructive approximations to investigate the finite temperature T and chemical potential of QCD is to consider the strong coupling limit of lattice QCD [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. In fact, effective free energy at finite T of strong coupling lattice QCD was analytically derived and predicted the second order chiral symmetry restoration temperature [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

2007

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We study the phase diagram of quark matter at finite temperature (T) and chemical potential ( ) in the strong coupling limit of lattice QCD for color SU(3). We derive an analytical expression of the effective free energy as a function of T and , including baryon effects. The finite temperature effects are evaluated by integrating over the temporal link variable exactly in the Polyakov gauge with an antiperiodic boundary condition for fermions. The obtained phase diagram shows the first and the second order phase transition at low and high temperatures, respectively, and those are separated by the tricritical point in the chiral limit. Baryon has effects to reduce the effective free energy and to extend the hadron phase to a larger direction at low temperatures.

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Section: Expected Evolution Of the Phase Diagrammentioning

confidence: 99%

Section: Effective Free Energy In the Strong Coupling Limit Of Lamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

2007

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“…In this limit they predict a strong first order saturation transition at a value for the chemical potential significantly smaller than one third of the baryon mass [1] (as one could naively expect considering the quarks confined inside hadrons but ignoring their binding energy). The inclusion of some β dependence in analytical calculations indicates that the mean field critical density and 1 3 m B converge toward a common limit in the physically relevant scaling region [2].…”

Section: Introductionmentioning

confidence: 99%

Phase transition(s) in finite density QCD

Aloisio¹,

Azcoiti²,

Carlo³

et al. 1998

Nuclear Physics A

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The Grand Canonical formalism is generally used in numerical simulations of finite density QCD since it allows free mobility in the chemical potential µ. We show that special care has to be used in extracting numerical results to avoid dramatic rounding effects and spurious transition signals. If we analyze data correctly, with reasonable statistics, no signal of first order phase transition is present and results using the Glasgow prescription are practically coincident with the ones obtained using the modulus of the fermionic determinant.

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Indications for a detonating quark-gluon plasma

Bilić¹,

Cleymans²,

Suhonen³

et al. 1993

Physics Letters B

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We propose a mechanism which naturally contains the relation µ B = 3µ S of the hadronic gas produced in heavy-ion collisions at CERN. Our starting assumption is the existence of a sharp front separating the quark-gluon plasma phase from the hadronic phase. Energy-momentum conservation across the front leads to the following consequences for an adiabatic process a) The baryon chemical potential, µ B , is approximately continuous across the front.b) The temperature in the hadronic gas is higher than the phase transition temperature due to superheating. c) In the region covered by the experiments the velocity of the hadronic gas approximately equals the speed of sound in the hadronic gas.

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Strong-coupling analysis of the chiral phase transition at finite chemical potential and finite temperature

Cited by 49 publications

References 17 publications

Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

Phase transition(s) in finite density QCD

Indications for a detonating quark-gluon plasma

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