From color glass condensate to quark gluon plasma through the event horizon

Jan, 2005
25 pages
Published in:
  • Nucl.Phys.A 753 (2005) 316-334
e-Print:
Report number:
  • BNL-NT-05-2

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Abstract:
We propose a new thermalization scenario for heavy ion collisions which at sufficiently high energies implies the phase transition to the quark--gluon plasma. The key ingredient of our approach is the Hawking--Unruh effect: an observer moving with an acceleration aa experiences the influence of a thermal bath with an effective temperature T=a/2πT = a / 2\pi, similar to the one present in the vicinity of a black hole horizon. For electric charges moving in external electromagnetic fields of realistic strength, the resulting temperature appears too small to be detected. However for partons in strong color fields the effect should be observable: in the Color Glass Condensate picture, the strength of the color-electric field is EQs2/gE \sim Q_s^2/g (QsQ_s is the saturation scale, and gg is the strong coupling), the typical acceleration is aQsa \sim Q_s, and the heat bath temperature is T=Qs/2π200T = Q_s / 2\pi \sim 200 MeV. In nuclear collisions at sufficiently high energies the effect can induce a rapid thermalization over the time period of τ2π/Qs1 fm\tau \simeq 2\pi/Q_s \simeq 1\ {\rm fm} accompanied by phase transitions. We consider a specific example of chiral symmetry restoration induced by a rapid deceleration of the colliding nuclei. We argue that parton saturation in the initial nuclear wave functions is a necessary pre--condition for the formation of quark--gluon plasma. We discuss the implications of our black hole thermalization scenario for various observables in relativistic heavy ion collisions.
  • color glass condensate
  • condensation
  • quark gluon: plasma
  • scattering: heavy ion
  • Unruh effect
  • symmetry: chiral
  • parton: saturation
  • pair production
  • external field: strong field
  • critical phenomena