Bulk viscosity and energy-momentum correlations in high energy hadron collisions

Dobado, Antonio; Llanes-Estrada, Felipe J.; Torres-Rincón, Juan M.

doi:10.1140/epjc/s10052-012-1873-9

Cited by 7 publications

(7 citation statements)

References 22 publications

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“…Indeed, from Eqs. (18) and (19) we find x = 0 and a, a ∝ m = 0 in this case. Consequently, it follows from Eqs.…”

Section: Kubo Formula For Bulk Viscositysupporting

confidence: 49%

“…Here the functions a , b , c , y are obtained from a, b, c, y defined in Eqs. (18) and (19) by substitution ε → ε . Equations (16)-(26) express the bulk viscosity of the quark plasma in terms of the components of its spectral function.…”

Section: Kubo Formula For Bulk Viscositymentioning

confidence: 99%

“…Controlled computations of the bulk viscosity exist in perturbative QCD on the basis of kinetic theory of relativistic quarks [6][7][8]. In the strongly coupled regime various approximate methods were applied, including QCD * arus@th.physik.uni-frankfurt.de † sedrakian@fias.uni-frankfurt.de sum rules in combination with the lattice data on the QCD equation state [7,13,14] and quasiparticle Boltzmann transport [15][16][17][18][19]. Some strongly coupled systems can exhibit zero bulk viscosity if the scale or, more generally, the conformal symmetry is intact.…”

Section: Introductionmentioning

confidence: 99%

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Bulk viscosity of two-flavor quark matter from the Kubo formalism

Harutyunyan¹,

Sedrakian

2017

Phys. Rev. D

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We study the bulk viscosity of quark matter in the strong coupling regime within the two-flavor Nambu--Jona-Lasinio model. The dispersive effects that lead to non-zero bulk viscosity arise from quark-meson fluctuations above the Mott transition temperature, where meson decay into two quarks is kinematically allowed. We adopt the Kubo-Zubarev formalism and compute the equilibrium imaginary-time correlation function for pressure in the $O(1/N_c)$ power counting scheme. The bulk viscosity of matter is expressed in terms of the Lorentz components of the quark spectral function and includes multi-loop contributions which arise via re-summation of infinite geometrical series of loop diagrams. We show that the multi-loop contributions dominate the single-loop contribution close to the Mott line, whereas at high temperatures the one-loop contribution is dominant. The multi-loop bulk viscosity dominates the shear viscosity close to the Mott temperature by factors 5 to 20, but with increasing temperature the shear viscosity becomes the dominant dissipation mechanism of stresses as the one-loop contribution becomes the main source of bulk viscosity.Comment: v2: matches published version, 18 pages, 19 figures, uses RevTe

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“…Indeed, from Eqs. (18) and (19) we find x = 0 and a, a ∝ m = 0 in this case. Consequently, it follows from Eqs.…”

Section: Kubo Formula For Bulk Viscositysupporting

confidence: 49%

Section: Kubo Formula For Bulk Viscositymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bulk viscosity of two-flavor quark matter from the Kubo formalism

Harutyunyan¹,

Sedrakian

2017

Phys. Rev. D

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“…Using this free energy, the 1 Earlier studies for extracting the shear viscosity in heavy ion collisions were done by [21] and for the bulk viscosity by [22].…”

Section: Introductionmentioning

confidence: 99%

Thermal conductivity and chiral critical point in heavy ion collisions

2012

Self Cite

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Background: Quantum Chromodynamics is expected to have a phase transition in the same static universality class as the 3D Ising model and the liquid-gas phase transition. The properties of the equation of state, the transport coefficients, and especially the location of the critical point are under intense theoretical investigation. Some experiments are underway, and many more are planned, at high energy heavy ion accelerators.Purpose: Develop a model of the thermal conductivity, which diverges at the critical point, and use it to study the impact of hydrodynamic fluctuations on observables in high energy heavy ion collisions. Methods:We apply mode coupling theory, together with a previously developed model of the free energy that incorporates the critical exponents and amplitudes, to construct a model of the thermal conductivity in the vicinity of the critical point. The effect of the thermal conductivity on correlation functions in heavy ion collisions is studied in a boost invariant hydrodynamic model via fluctuations, or noise.Results: We find that the closer a thermodynamic trajectory comes to the critical point the greater is the magnitude of the fluctuations in thermodynamic variables and in the 2-particle correlation functions in momentum space. Conclusions:It may be possible to discern the existence of a critical point, its location, and thermodynamic and transport properties near to it in heavy ion collisions using the methods developed here.

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“…The numerical values of the LECs used in Figure 4 are the same as in [51,52]. In turn, we remark that the analysis of transport coefficients of the hadron gas through different formalisms within effective theories is another important field of research or which an accurate description of the interactions is crucial to obtain results consistent with heavy-ion phenomenology [51][52][53][54][55][56][57][58][59]. 2) Chiral Perturbation Theory (ChPT) (pion gas) at different orders from [49] compared to the Hadron Resonance Gas approach in [30].…”

Section: N (T)mentioning

confidence: 98%

Aspects on Effective Theories and the QCD Transition

Nicola

2020

Symmetry

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We review recent advances in the understanding of the Quantum Chromodynamics (QCD) transition and its nature, paying special attention to the analysis of chiral symmetry restoration within different approaches based on effective theories. After presenting some of the main aspects of the current knowledge of the phase diagram from the theoretical, experimental and lattice sides, we discuss some recent problems where approaches relying on effective theories have been particularly useful. In particular, the combination of ideas such as Chiral Perturbation Theory, unitarity and Ward Identities allows us to describe successfully several observables of interest. This is particularly relevant for quantities expected to be dominated by the light meson components of the hadron gas such as the scalar and topological susceptibilities. In addition, ward identities and effective Lagrangians provide systematic results regarding chiral and U ( 1 ) A partner degeneration properties which are of great importance for the interplay between those two transitions and the nature of chiral symmetry restoration. Special attention is paid to the connection of this theoretical framework with lattice simulations.

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Bulk viscosity and energy-momentum correlations in high energy hadron collisions

Cited by 7 publications

References 22 publications

Bulk viscosity of two-flavor quark matter from the Kubo formalism

Bulk viscosity of two-flavor quark matter from the Kubo formalism

Thermal conductivity and chiral critical point in heavy ion collisions

Aspects on Effective Theories and the QCD Transition

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