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The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: 0905.2097PowerPoint Presentation

The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: 0905.2097

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The speed of sound in a magnetized hot Quark-Gluon-Plasma Based on: 0905.2097

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The speed of sound in a magnetized hot Quark-Gluon-PlasmaBased on: 0905.2097

NedaSadooghi

Department of Physics

Sharif University of Technology

Tehran-Iran

MIDEAST 2009

Main Goals:

- Physics of the Early Universe
In general

- Behavior of nuclear matter under extreme T,μ,B,E …
Specific Goals:

- Interplay between various phase transitions
- Confinement-Deconfinement
- Chiral Symmetry Restoration

Two different aspects:

- Static aspects
- Dynamical aspects

Static aspects:

- Thermodyn. properties of new phases
T dependence of

- Energy density
- Pressure
- …
Various aspects of phase transition

- Type of phase transitions
- 1st order phase transition
- 2nd order phase transition

- Position of the critical end points
- Critical T, μ

Static aspects:

Nonperturbative Methods (low energy physics)

- Lattice QCD
- Thermal Field Theory
Phenomenological Model Building

- Hadron resonance gas model Statistical Model
- Linear and nonlinear sigma model Chiral (effective) Field Theory
- Polyakov-NJL model Chiral (effective) Field Theory + Lattice QCD
- …

Static aspects:

Lattice QCD (deficits)

- It is difficult to implement dynamical (physical) quarks
- It is difficult to implement a finite and large μ in MC calculations
Nevertheless:

Lattice QCD predictions

Tc =180-200 MeV

Crossover

Trace anomaly Є-3P

(Bazavov et al., 0903.4379 [hep-lat])

Trace anomaly Є-3P

The speed of sound

KEYWORD: THERMAL EQUILIBRIUM

(Time plays no major role)

Dynamical (non-equilibrium) aspects:

Methods

- Real-time thermal field theory
- …
- Relativistic hydrodynamics (Rel. fluid dynamics Landau ‘1950)
- Non-dissipative (non-viscous) hydrodynamics
- Dissipative hydrodynamics
Transport properties

T-dependence of shear and bulk viscosities

T-dependence of the speed of sound

e.g. Study the new strongly correlated QGP phase created at RHIC

The sQGP phase behaves as a nearly perfect fluid

- Jet quenching
- Elliptic flow

- Magnetic field production in off-central HI collisions
- Due to very large relative angular momentum
- Due to electrically charged ions in the initial state, and due to the electric charge asymmetry in the distributions of the produced hadrons
(Kharzeev et al. 2007)

- The produced magnetic field is perp. to the reaction plane
Event to event P and CP violation (Kharzeev et al. 2008)

Study the effect of a constant and strong magnetic field on the speed of sound in a magnetized hot QGP

N.S., 0905.2097 [hep-ph]

- Consider an effective field theory model of QCD (NJL model) in the presence of a constant (fixed) and strong magnetic field
- Integrate out the fermions An effective theory in a background strong magnetic field and consisting of massive mesons
- The mesons are massive due to dynamical chiral symmetry breaking in the presence of strong magnetic field [Magnetic Catalysis]
- The resulting system can be regarded as a magnetized fluid consisting of massive mesons and exhibiting chiral phase transition at some Tc
It mimics a magnetized hot QGP near the chiral critical point

- Extend the thermodynamical and hydrodynamical relations ChiralMagnetohydrodynamical (CMHD) formulation
- Performing a 1st order stability analysis Dispersion relation of plane waves propagating in this magnetized hot medium
- Linearizing the dispersion relation Speed of sound v_s
What we expect here:

- An anisotropy in the velocity distribution in this medium due to the presence of a fixed external magnetic field
- Similar T dependence of v_s as was observed in Lattice QCD

v_12 has a maximum at T~0.4-0.45 Tc

v_12 remains constant for T>Tc

v_13 has, independent on θ, a minimum at T~0.4-0.45 Tc

v_13 remains also constant for T>Tc