Thermalization and prethermalization in the soft-wall AdS/QCD model

Abstract

The real-time dynamics of chiral phase transition is investigated in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. To understand the dynamics of thermalization, we quench the system from initial states deviating from the equilibrium states. Then, we solve the nonequilibrium evolution of the order parameter (chiral condensate $⟨\sigma \equiv \bar{q}q⟩$). It is shown that the system undergoes an exponential relaxation at temperatures away from the critical temperature $T_c$. The relaxation time diverges at $T_c$, presenting a typical behavior of critical slowing down. Numerically, we extract the dynamic critical exponent $z$, and get $z\approx 2$ by fitting the scaling behavior $\sigma \propto t^{-\beta /(\nu z)}$, where the mean-field static critical exponents (order parameter critical exponent $\beta =1/2$, correlation length critical exponent $\nu =1/2$ ) have been applied. More interestingly, it is remarked that, for a large class of initial states, the system would linger over a quasi-steady state for a certain period of time before the thermalization. It is suggested that the interesting phenomenon, known as prethermalization, has been observed in the framework of holographic models. In such prethermal stage, we verify that the system is characterized by a universal dynamical scaling law and described by the initial-slip exponent $\theta =0$.

arXiv comment16 pages, 15 figures

References in corpus (78)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Many-Body Physics with Ultracold Gases
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Linear Confinement and AdS/QCD
• The chiral and deconfinement aspects of the QCD transition
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Quasinormal modes and holography
• Keldysh Field Theory for Driven Open Quantum Systems
• Universality of the shear viscosity in supergravity
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Prethermalization
• On the sign of kurtosis near the QCD critical point
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Slowing Out of Equilibrium Near the QCD Critical Point
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Light scalar mesons in the soft-wall model of AdS/QCD
• From full stopping to transparency in a holographic model of heavy ion collisions
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• Dynamical holographic QCD model for glueball and light meson spectra
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• The chiral condensate in holographic models of QCD
• Defect formation beyond Kibble-Zurek mechanism and holography
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Pion Propagation near the QCD Chiral Phase Transition
• Real-time pion propagation in finite-temperature QCD
• A dynamical holographic QCD model for chiral symmetry breaking and linear confinement
• Prediction for the Mass Spectra of Resonance Mesons in the Soft-Wall AdS/QCD with a Modified 5D Metric
• Temperature and quark density effects on the chiral condensate: an AdS/QCD study
• Dynamical crossovers in prethermal critical states
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Realization of chiral symmetry breaking and restoration in holographic QCD
• Chiral Phase Transition in the Soft-Wall Model of AdS/QCD
• Evolution of the jet opening angle distribution in holographic plasma
• Spinodal phase separation in relativistic nuclear collisions
• Flow and interferometry results from Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 4.5 GeV
• Universal post-quench prethermalization at a quantum critical point
• Hadronic Spectra from Deformed AdS Backgrounds
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Pseudoscalar Mass Spectrum in a Soft-Wall Model of AdS/QCD
• Thermalization in a Holographic Confining Gauge Theory
• Chiral Phase Transition and Meson Melting from AdS/QCD
• Chiral phase transition and meson spectrum in improved soft-wall AdS/QCD
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• Universal post-quench coarsening and quantum aging at a quantum critical point
• Non-Thermal Fixed Point in a Holographic Superfluid
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• Homogeneous isotropization and equilibration of a strongly coupled plasma with a critical point
• Nonlinear realization of chiral symmetry breaking in holographic soft wall models
• Chiral phase transition and QCD phase diagram from AdS/QCD
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Thermal properties of light mesons from holography
• Chiral phase transition at finite chemical potential in 2+1-flavor soft-wall AdS/QCD
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography
• The pion in the graviton soft-wall model: phenomenological applications
• Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Pion condensation in a soft-wall AdS/QCD model
• New extended superconformal sigma models and Quaternion Kahler manifolds
• Critical Langevin dynamics of the O(N)-Ginzburg-Landau model with correlated noise
• Linearized Holographic Isotropization at Finite Coupling
• Holographic QCD model for $N_f=4$
• $a_1$ meson-nucleon coupling constant at finite temperature from the soft-wall AdS/QCD model
• AdS/QCD oddball masses and Odderon Regge trajectory from a twist-five operator approach
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor

Cited by in corpus (3)

• String breaking and running coupling of $\mathrm{Q}\bar{\mathrm{Q}}$ in a rotating media from holography
• Non-equilibrium dynamics of Goldstone excitation from holography
• Critical and near-critical relaxation of holographic superfluids