Hydrodynamical instabilities in an expanding quark gluon plasma

Aguiar, C.E.; Fraga, Eduardo S.; Kodama, T.

doi:10.1088/0954-3899/32/2/009

Cited by 25 publications

(24 citation statements)

References 45 publications

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“…In this sense, the study of hydrodynamics coupled to the other degrees of freedom, for example to a chiral field, will be interesting. Studies in this directions are in progress [23].…”

Section: Discussion and Perspectivesmentioning

confidence: 99%

Hunt for the quark-gluon plasma: 20 years later

Kodama

2004

Braz. J. Phys.

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“…In this sense, the study of hydrodynamics coupled to the other degrees of freedom, for example to a chiral field, will be interesting. Studies in this directions are in progress [23].…”

Section: Discussion and Perspectivesmentioning

confidence: 99%

Hunt for the quark-gluon plasma: 20 years later

Kodama

2004

Braz. J. Phys.

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“…As a framework, we adopt the linear sigma model coupled to quarks (LSM q ) with two flavors, N f = 2 [3]. This effective theory has been widely used to describe different aspects of the chiral transition, such as thermodynamic properties [4,5,6,7,8,9,10,11,12,13,14] and the nonequilibrium phase conversion process [15], as well as combined to other models in order to include effects from confinement [16,17].…”

Section: Introductionmentioning

confidence: 99%

Chiral transition in a strong magnetic background

2008

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The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature. We compute the modified effective potential in the linear sigma model with quarks to one loop in the M S scheme for N f = 2. For fields eB ∼ 5m 2 π and larger a crossover is turned into a weak first-order transition. We discuss possible implications for non-central heavy ion collisions at RHIC and LHC, and for the primordial QCD transition.

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“…The mechanism of chiral symmetry breaking and the study of the dynamics of phase conversion after a temperaturedriven chiral transition can be done conveniently within lowenergy effective models [1][2][3][4][5][6][7][8][9]. In particular, to study the mechanisms of bubble nucleation and spinodal decomposition in a hot expanding plasma [10], it is common to adopt the linear σ-model coupled to quarks [11].…”

Section: Abstract: Chiral Symmetry Breakingmentioning

confidence: 99%

Nucleation in the chiral transition with an inhomogeneous background

Taketani¹,

Fraga²

2007

Braz. J. Phys.

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We consider an approximation procedure to evaluate the finite-temperature one-loop fermionic density in the presence of a chiral background field which systematically incorporates effects from inhomogeneities in the chiral field through a derivative expansion. Modifications in the effective potential and their consequences for the bubble nucleation process are discussed. Keywords: Chiral symmetry breakingThe mechanism of chiral symmetry breaking and the study of the dynamics of phase conversion after a temperaturedriven chiral transition can be done conveniently within lowenergy effective models [1][2][3][4][5][6][7][8][9]. In particular, to study the mechanisms of bubble nucleation and spinodal decomposition in a hot expanding plasma [10], it is common to adopt the linear σ-model coupled to quarks [11]. The gas of quarks provides a thermal bath in which the long-wavelength modes of the chiral field evolve, and the latter plays the role of an order parameter in a Landau-Ginzburg approach to the description of the chiral phase transition. The standard procedure is then integrating over the fermionic degrees of freedom, using a classical approximation for the chiral field, to obtain a formal expression for the thermodynamic potential from which one can obtain all the physical quantities of interest.To compute correlation functions and thermodynamic quantities, one has to evaluate the fermionic determinant that results from the functional integration over the quark fields within some approximation scheme. Usually one performs a standard one-loop calculation assuming a homogeneous and static background field [12]. Nevertheless, for a system that is in the process of phase conversion after a chiral transition, one expects inhomogeneities in the chiral field configuration due to fluctuations to play a major role in driving the system to the true ground state. In fact, for high-energy heavy ion collisions, hydrodynamical studies have shown that significant density inhomogeneities may develop dynamically when the chiral transition to the broken symmetry phase takes place [6], and inhomogeneities generated during the late stages of the nonequilibrium evolution of the order parameter might leave imprints on the final spatial distributions and even on the integrated, inclusive abundances [13].In this paper we briefly describe an approximation procedure to evaluate the finite-temperature fermionic density in the presence of a chiral background field, which systematically incorporates effects from inhomogeneities in the bosonic field through a gradient expansion. (For details, see Ref. [14].) The method is valid for the case in which the chiral field varies smoothly, and allows one to extract information from its long-wavelength behavior, incorporating corrections order by order in the derivatives of the field. For simplicity, we ignore corrections coming from bosonic fluctuations in what follows. Those would result in a bosonic determinant correction to the effective potential [15]. To focus on the effect of an inhomogeneou...

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Hydrodynamical instabilities in an expanding quark gluon plasma

Cited by 25 publications

References 45 publications

Hunt for the quark-gluon plasma: 20 years later

Hunt for the quark-gluon plasma: 20 years later

Chiral transition in a strong magnetic background

Nucleation in the chiral transition with an inhomogeneous background

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