Quantum and stringy corrections to the equation of state of holographic QCD matter and the nature of the chiral transition

Abstract

We consider the finite temperature phase diagram of holographic QCD in the Veneziano limit (Nc large, Nf large with xf=Nf/Nc fixed) and calculate one string-loop corrections to the free energy in certain approximations. Such corrections, especially due to the pion modes are unsuppressed in the Veneziano limit. We find that under some extra assumptions the first order transition following from classical gravity solutions can become second order. If stringy asymptotics are of a special form and there are residual interactions it may even become of third order. Operationally these computations imply modelling the low temperature chiral symmetry breaking phase with a hadron gas containing Nf^2 massless Goldstone bosons and an exponential spectrum of massive hadrons. A third order transition is possible only if repulsive hadron interactions via the excluded volume effect are included.

Figures 8 and 9left replaced with correct ones

References in corpus (10)

• Exploring improved holographic theories for QCD: Part II
• Chiral symmetry breaking as open string tachyon condensation
• Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freeze-out in Heavy Ion Collisions
• Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
• Hadron Resonance Gas Equation of State from Lattice QCD
• Degrees of freedom and the phase transitions of two flavor QCD
• A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• One,Two,Zero: Scales of Strong Interactions
• Extreme Technicolor & The Walking Critical Temperature

Cited by in corpus (10)

• Holographic modeling of nuclear matter and neutron stars
• Quark formation and phenomenology in binary neutron-star mergers using V-QCD
• Dense and Hot QCD at Strong Coupling
• Holographic approach to transport in dense QCD matter
• Tachyon-dependent Chern-Simons terms and the V-QCD Baryon
• The V-QCD baryon : numerical solution and baryon spectrum
• Isospin asymmetry and neutron stars in V-QCD
• Quark flavors in hot and dense holographic QCD: setup and comparison to data
• Holography in Quark-Gluon Plasma and Neutron Stars
• Non-perturbative Aspects of Quantum Field Theories from Holography