The universal equation of state near the critical point of QCD

Brouzakis, N.; Tetradis, N.

doi:10.1016/j.nuclphysa.2004.06.016

Cited by 6 publications

(5 citation statements)

References 55 publications

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“…In an attempt to interprete the physical content of the lattice results there is a variety of model studies of the CEP and the critical region around it [13,14,15,16,17,18]. In future searches for the CEP in heavy-ion reactions the size of the critical region is especially important [19].…”

Section: Introductionmentioning

confidence: 99%

Susceptibilities near the QCD (tri)critical point

2007

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Based on the proper-time renormalization group approach, the scalar and the quark number susceptibilities in the vicinity of possible critical end points of the hadronic phase diagram are investigated in the two-flavor quark-meson model. After discussing the quark-mass dependence of the location of such points, the critical behavior of the in-medium meson masses and quark number density are calculated. The universality classes of the end points are determined by calculating the critical exponents of the susceptibilities. In order to numerically estimate the influence of fluctuations we compare all quantities with results from a mean-field approximation. It is concluded that the region in the phase diagram where the susceptibilities are enhanced is more compressed around the critical end point if fluctuations are included.

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Section: Introductionmentioning

confidence: 99%

Susceptibilities near the QCD (tri)critical point

2007

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“…Within the quark meson model, if certain approximations are made, the relevant potential can be cast in the form of eq. (3) with [7,8]…”

Section: The Modelmentioning

confidence: 99%

“…The initial condition U Λ that is needed for the solution of the evolution equation (6) is given by eq. (3) [7,8].…”

Section: The Renormalization Group and The Nature Of The Fixed Pointsmentioning

confidence: 99%

The quark-meson model and the phase diagram of QCD

Tetradis¹

2020

hnps

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I discuss the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. I first give a pedagogical derivation of the qualitative features of the phase diagram based on mean field theory. Then I summarize how the the universality classes of the second-order phase transitions can be determined through the exact renormalization group. For non-zero quark masses I explain how the universal equation of state of the Ising universality class can be used in order to describe the physical behaviour near the critical point. The effective exponents that parametrize the growth of physical quantities, such as the correlation length, are given by combinations of the critical exponents of the Ising class that depend on the path along which the critical point is approached. In general the critical region, in which such quantities become large, is smaller than naively expected.

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“…The tricritical point belongs to a trivial Gaussian fixed point with mean-field critical exponents. The precise location of this tricritical point is in general not known and again depends on the model parameters [31]. Thus, the existence of this point, the shape of the transition line and its universality class are predictions within the underlying quark meson model.…”

Section: Applicationsmentioning

confidence: 99%

Renormalization group approach towards the QCD phase diagram

2008

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The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are then applied to the strong interaction in the framework of an effective quark meson model which is introduced in great detail. The renormalization group analysis of the two flavor quark meson model is extended to finite temperature and quark chemical potential which allows for an analysis of the chiral phase diagram beyond the mean field approximation.

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The universal equation of state near the critical point of QCD

Cited by 6 publications

References 55 publications

Susceptibilities near the QCD (tri)critical point

Susceptibilities near the QCD (tri)critical point

The quark-meson model and the phase diagram of QCD

Renormalization group approach towards the QCD phase diagram

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