Large-N kinetic theory for highly occupied systems

Abstract

We consider an effective kinetic description for quantum many-body systems, which is not based on a weak-coupling or diluteness expansion. Instead, it employs an expansion in the number of field components N of the underlying scalar quantum field theory. Extending previous studies, we demonstrate that the large-N kinetic theory at next-to-leading order is able to describe important aspects of highly occupied systems, which are beyond standard perturbative kinetic approaches. We analyze the underlying quasiparticle dynamics by computing the effective scattering matrix elements analytically and solve numerically the large-N kinetic equation for a highly occupied system far from equilibrium. This allows us to compute the universal scaling form of the distribution function at an infrared nonthermal fixed point within a kinetic description and we compare to existing lattice field theory simulation results.

20 pages, 9 figures; v2: published version - references added, minor revisions in the Abstract, Sec. IV and some other parts

References in corpus (19)

• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Nonthermal fixed points and the functional renormalization group
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Approach to equilibrium in weakly coupled nonabelian plasmas
• Strong versus weak wave-turbulence in relativistic field theory
• Quark-Gluon Plasmas and Thermalization
• Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology
• Thermalization of gluons with Bose-Einstein condensation
• Effective kinetic description of the expanding overoccupied Glasma
• Universal self-similar scaling of spatial Wilson loops out of equilibrium
• Universal scaling of unequal-time correlation functions in ultracold Bose gases far from equilibrium
• Time evolution of linearized gauge field fluctuations on a real-time lattice
• Attractive vs. repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories
• Kinetic description of Bose-Einstein condensation with test particle simulations
• Plasmon mass scale in classical nonequilibrium gauge theory
• Thermalization of overpopulated systems in the 2PI formalism
• Fluctuations in non-ideal pion gas with dynamically fixed particle number
• Improved real-time dynamics from imaginary frequency lattice simulations

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• Experimental extraction of the quantum effective action for a non-equilibrium many-body system
• Prescaling in a far-from-equilibrium Bose gas
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Breaking the Fluctuation-Dissipation Relation by Universal Transport Processes
• Finding self-similar behavior in quantum many-body dynamics via persistent homology
• Collisional strong-field QED kinetic equations from first principles
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• Non-equilibrium Quantum Spin Dynamics from 2PI Functional Integral Techniques in the Schwinger Boson Representation
• Gauge-invariant condensation in the nonequilibrium quark-gluon plasma
• Unraveling the nature of universal dynamics in $O(N)$ theories
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Universal dynamics of rogue waves in a quenched spinor Bose condensate
• Prescaling relaxation to nonthermal attractors
• Broad excitations in a 2+1D overoccupied gluon plasma
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Stable and unstable perturbations in universal scaling phenomena far from equilibrium
• Universal Coarsening in a Homogeneous Two-Dimensional Bose Gas
• Spectral, statistical and vertex functions in scalar quantum field theory far from equilibrium
• Anomalous scaling at non-thermal fixed points of the sine-Gordon model
• Dimensional crossover for universal scaling far from equilibrium
• Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis
• Double sine-Gordon class of universal coarsening dynamics in a spin-1 Bose gas
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
• Adiabatic hydrodynamization and quasinormal modes of nonthermal attractors