Nonthermal fixed points and the functional renormalization group

Abstract

Nonthermal fixed points represent basic properties of quantum field theories, in addition to vacuum or thermal equilibrium fixed points. The functional renormalization group on a closed real-time path provides a common framework for their description. For the example of an O(N) symmetric scalar theory it reveals a hierarchy of fixed point solutions, with increasing complexity from vacuum and thermal equilibrium to nonequilibrium.

32 pages, Nucl. Phys. B version (minor changes of wordings)

References in corpus (31)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• Introduction to Nonequilibrium Quantum Field Theory
• Exact Renormalization Group Equations. An Introductory Review
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Turbulent Thermalization
• Lectures on the functional renormalization group method
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Nonperturbative renormalization group approach to frustrated magnets
• Nonequilibrium quantum criticality in open electronic systems
• Parametric resonance in quantum field theory
• Classical aspects of quantum fields far from equilibrium
• Nonequilibrium functional renormalization group for interacting quantum systems
• Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
• Functional renormalization group for non-equilibrium quantum many-body problems
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
• Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Universality and the Renormalisation Group
• Critical phenomena from the two-particle irreducible 1/N expansion
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
• Reaction-diffusion processes and non-perturbative renormalisation group
• Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields
• Nonequilibrium critical behavior of a species coexistence model

Cited by in corpus (103)

• Dynamical quantum phase transitions: a review
• The nonperturbative functional renormalization group and its applications
• Keldysh Field Theory for Driven Open Quantum Systems
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Prethermalization and universal dynamics in near-integrable quantum systems
• Universal attractor in a highly occupied non-Abelian plasma
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas
• Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Driven Markovian Quantum Criticality
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Turbulence in nonabelian gauge theory
• Superfluid Turbulence: Nonthermal Fixed Point in an Ultracold Bose Gas
• Bose condensation far from equilibrium
• Real time correlation functions and the functional renormalisation group
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• QCD at finite temperature and density within the fRG approach: An overview
• On Features and Nongaussianity from Inflationary Particle Production
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Strong versus weak wave-turbulence in relativistic field theory
• Kinetic theory of non-thermal fixed points in a Bose gas
• Ultracold atoms and the Functional Renormalization Group
• Matter Wave Turbulence: Beyond Kinetic Scaling
• Over-populated gauge fields on the lattice
• Introduction to the nonequilibrium functional renormalization group
• Analytic continuation of functional renormalization group equations
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Finite temperature spectral functions in the O(N)-model
• Instability-induced fermion production in quantum field theory
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Universal scaling at non-thermal fixed points of a two-component Bose gas
• Nonequilibrium fixed points in longitudinally expanding scalar theories: infrared cascade, Bose condensation and a challenge for kinetic theory
• Universal dynamics on the way to thermalisation
• Nongaussianity from Particle Production During Inflation
• Large-N kinetic theory for highly occupied systems
• Nonthermal fixed points and solitons in a one-dimensional Bose gas
• Non-thermal fixed points: Universal dynamics far from equilibrium
• Tuning universality far from equilibrium
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• Far from equilibrium dynamics of Bose-Einstein condensation for Axion Dark Matter
• Exact renormalization group and Phi-derivable approximations
• Non-Thermal Fixed Point in a Holographic Superfluid
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• Charge separation in Reheating after Cosmological Inflation
• Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, Vortex-antivortex superfluid dynamics and Bose-Einstein condensation
• Universal equilibrium scaling functions at short times after a quench
• Spectral functions from the real-time functional renormalization group
• Dynamic universality class of Model C from the functional renormalization group
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Anomalous scaling at non-thermal fixed points of Burgers' and Gross-Pitaevskii turbulence
• Bi-directional universal dynamics in a spinor Bose gas close to a non-thermal fixed point
• Analog cosmological reheating in an ultracold Bose gas
• Flowing with the Temporal Renormalisation Group
• Symmetric and Asymmetric Reheating
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Universal scaling of unequal-time correlation functions in ultracold Bose gases far from equilibrium
• Violation of single-length scaling dynamics via spin vortices in an isolated spin-1 Bose gas
• Gauge turbulence, topological defect dynamics, and condensation in Higgs models
• Finding self-similar behavior in quantum many-body dynamics via persistent homology
• Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
• Perturbative and Nonperturbative Kolmogorov Turbulence in a Gluon Plasma
• Attractive vs. repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories
• Nonequilibrium quark production in the expanding QCD plasma
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Non-equilibrium time evolution of bosons from the functional renormalization group
• Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
• Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
• Quantum renormalization group
• Universal dynamics of rogue waves in a quenched spinor Bose condensate
• Universal Coarsening in a Homogeneous Two-Dimensional Bose Gas
• Dissipation dynamics of a scalar field
• Spectral, statistical and vertex functions in scalar quantum field theory far from equilibrium
• Inflationary preheating dynamics with ultracold atoms
• Anomalous scaling at non-thermal fixed points of the sine-Gordon model
• Dynamics of a Vortex Dipole in a Holographic Superfluid
• Meson turbulence at quark deconfinement from AdS/CFT
• Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis
• Keldysh functional renormalization group for electronic properties of graphene
• Thermalization of the world's smallest fluids: recent developments
• Double sine-Gordon class of universal coarsening dynamics in a spin-1 Bose gas
• Universality of pseudo-Goldstone damping near critical points
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion
• What the inflaton might tell us about RHIC/LHC
• Functional Renormalisation Group for Brownian Motion I: The Effective Equations of Motion
• Conformal symmetry in quasi-free Markovian open quantum systems
• Coarse-graining in time with the Functional Renormalisation Group: Relaxation in Brownian Motion
• Nonequilibrium quark production in the expanding QCD plasma
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Nonperturbative treatment of a quenched Langevin field theory
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
• Turbulent spectra in real-time gauge field evolution
• Domain coarsening in fractonic systems: a cascade of critical exponents
• A topological realization of spin polarization through vortex formation in collisions of Bose-Einstein condensates
• High precision solutions to quantized vortices within Gross-Pitaevskii equation
• Chemical-potential flow equations for graphene with Coulomb interactions
• Decaying superfluid turbulence near an anomalous non-thermal fixed point