Scholarship 24/14390-0 - Espaço anti-de Sitter, Teoria do campo conformal (CFT) - BV FAPESP
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AdS/QCD duality at finite density, rotation and the strong-force phase diagram

Grant number: 24/14390-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date until: January 01, 2025
End date until: December 31, 2027
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Roldão da Rocha Junior
Grantee:Octávio Costa Junqueira
Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Associated research grant:21/01089-1 - Cherenkov Telescope Array: construction and first discoveries, AP.ESP

Abstract

In large particle accelerators, heavy-ion collisions lead to the production of a quark-gluon plasma with angular momentum. The confinement/deconfinement transition can be investigated by means of holographic models based on the AdS/QCD duality. We will calculate the effects of rotation on the critical temperature, starting from black holes (or black branes, depending on the geometry) with non-zero angular momentum in the AdS space. We will analyze the influence of the dilaton on the phase transition for a rotating plasma in the Einstein-Maxwell-dilaton model, applying the semi-classical Hawking-Page (HP) approach. In addition to rotation, we will introduce the effect of the quark density, which can be done for systems with non-zero chemical potential, via charged black holes. The black hole charge and the chemical potential are correlated in the Reissner-Nordström (RN) solution. We will study other solutions of AdS spaces besides the RN solution. We will calculate the Gibbs energy of the regularized black hole in systems with finite rotation and density, obtain the $T_c$ curve as a function of the chemical potential and the angular velocity of the plasma, and describe the effects of plasma rotation on the QCD phase diagram. Since the plasma produced in the laboratories showed up a vortical structure with almost zero viscosity, we will study the thermodynamic and hydrodynamic properties of the QGP. We will calculate the specific heat, entropy density and shear viscosity of the plasma in these systems. After collisions, rotating charged particles generate magnetic fields. We will calculate the effect of these fields on the phase transition and on the hadronic masses, in particular, for the charmonium and bottomonium states. Finally, we will build a holographic model taking into account the three effects together: chemical potential, rotation and magnetic fields. We will calculate the decay constants of particles via duality, investigating the stability of states through the configuration entropy for systems in the presence of rotation and strong magnetic fields.

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