Abstract
Abstract We use a holographic dual model for the heavy-ion collision to obtain the phase diagram of the quark-gluon plasma (QGP) formed at a very early stage just after the collision. In this dual model, colliding ions are described by the charged gravitational shock waves. Points on the phase diagram correspond to the QGP or hadronic matter with given temperatures and chemical potentials. The phase of the QGP in dual terms is related to the case where the collision of shock waves leads to the formation of a trapped surface. Hadronic matter and other confined states correspond to the absence of a trapped surface after collision. In the dual language, the multiplicity of the ion collision process is estimated as the area of the trapped surface. We show that a nonzero chemical potential reduces the multiplicity. To plot the phase diagram, we use two different dual models of colliding ions, the pointlike and the wall shock waves, and find that the results agree qualitatively.
Highlights
Points on the phase diagram correspond to the quark-gluon plasma (QGP) or hadronic matter with given temperatures and chemical potentials
We have used a holographic dual model for a heavy-ion collision to construct the phase diagram of the QGP formed at a very early stage just after the collision. In this dual model, colliding ions are described by charged gravitational shock waves
The QGP phase in dual terms is related to the case where the collision of shock waves leads to the formation of a trapped surface (TS)
Summary
The idea of using the AdS/CFT correspondence to describe the QGP is based on the possibility of establishing a one-to-one correspondence between phenomenological/thermodynamic plasma parameters (T , E, P , and μ) and the parameters characterizing AdS5 deformations. This state has its counterpart on the gravity side as a modification of the geometry of the original AdS5 metric This follows the general AdS/CFT line: operators in the gauge theory correspond to fields in SUGRA. In the case of the energy-momentum tensor, the corresponding field is just the five-dimensional metric. Applying the AdS/CFT correspondence to the hydrodynamic description of the QGP is based on the fact that the energy-momentum tensor can be obtained directly from the expansion of the BH in AdS5 metric (2.3) corresponding to the simple hydrodynamic model. 2.1.2 The chemical potential in a QGP via the AdS/CFT correspondence The Reissner-Nordstrom (RN) metric in the AdS space has the form ds2 = −g(R)dT 2 + g(R)−1dR2 + R2dΩ2D−2,. In the AdS/CFT context, two different types of chemical potential are considered: related to the R-charge and to the baryon number.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
