On holographic phase transitions at finite chemical potential

Abstract

Recent Holographic studies have shown that N=4 super Yang-Mills theory coupled to fundamental matter with finite chemical potential undergoes a first order phase transition. In this paper, we study Nf D6 probe branes with or without electric field on it in the black D4 brane background compactified on a circle with supersymmetry breaking boundary condition. At energy scales much lower than the compactification scale, the dual gauge theory is effectively four dimensional non-supersymmetric SU(Nc) Yang-Mills theory coupled to fundamental matter with or without baryon number charge. Within the supergravity approximation, the decoupling of the Kaluza-Klein modes is not fully realized. For chemical potential mu<NcMq there is a line of first order phase transitions from stable meson phase to unstable meson phase. On the other hand for mu>NcMq there is no phase transition and mesons are unstable. A peculiar and interesting property of this system is that for a certain range of chemical potential mu<NcMq, a new phase transition appears in the unstable meson phase. This phase transition is characterized by a discontinuous change of unstable meson lifetime.

24 pages, 16 figures; reference added

References in corpus (16)

• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Metallic AdS/CFT
• Holographic Phase Transitions with Fundamental Matter
• A holographic model of deconfinement and chiral symmetry restoration
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Holographic melting and related properties of mesons in a quark gluon plasma
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Chiral Phase Transition from String Theory
• Hall Conductivity of Flavor Fields from AdS/CFT
• Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
• Holographic mesons in various dimensions
• Holographic Viscosity of Fundamental Matter
• Photoemission with Chemical Potential from QCD Gravity Dual
• The Gross-Neveu Model from String Theory
• NGN, QCD_2 and chiral phase transition from string theory
• Lattice QCD at finite temperature

Cited by in corpus (6)

• Zero Sound from Holography
• Holographic Nuclear Matter in AdS/QCD
• Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions
• Massive Quantum Liquids from Holographic Angel's Trumpets
• Comments on Holographic Fermi Surfaces
• D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein model