Tachyonic preheating using 2PI-1/N dynamics and the classical approximation

Abstract

We study the process of tachyonic preheating using approximative quantum equations of motion derived from the 2PI effective action. The O(N) scalar (Higgs) field is assumed to experience a fast quench which is represented by an instantaneous flip of the sign of the mass parameter. The equations of motion are solved numerically on the lattice, and the Hartree and 1/N-NLO approximations are compared to the classical approximation. Classical dynamics is expected to be valid, since the occupation numbers can rise to large values during tachyonic preheating. We find that the classical approximation performs excellently at short and intermediate times, even for couplings in the larger region currently allowed for the SM Higgs. This is reassuring, since all previous numerical studies of tachyonic preheating and baryogenesis during tachyonic preheating have used classical dynamics. We also compare different initializations for the classical simulations.

32 pages, 21 figures. Published version: Some details added, section added, references added, conclusions unchanged

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Cited by in corpus (89)

• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• Particle physics models of inflation and curvaton scenarios
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Universal attractor in a highly occupied non-Abelian plasma
• Nonperturbative renormalization for 2PI effective action techniques
• Nonthermal fixed points and the functional renormalization group
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• Bottom-up isotropization in classical-statistical lattice gauge theory
• Turbulence in nonabelian gauge theory
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
• Equilibration in phi^4 theory in 3+1 dimensions
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Fermion production from real-time lattice gauge theory in the classical-statistical regime
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Oscillons and quasi-breathers in D+1 dimensions
• Matter Wave Turbulence: Beyond Kinetic Scaling
• Nonlinear amplification of instabilities with longitudinal expansion
• Over-populated gauge fields on the lattice
• Introduction to the nonequilibrium functional renormalization group
• Spectral function for overoccupied gluodynamics from real-time lattice simulations
• Kadanoff-Baym Equations with Non-Gaussian Initial Conditions: The Equilibrium Limit
• Instability-induced fermion production in quantum field theory
• Low-cost fermions in classical field simulations
• Hubble-induced phase transitions on the lattice with applications to Ricci reheating
• Far-from-equilibrium quantum many-body dynamics
• Simulations of the End of Supersymmetric Hybrid Inflation and Non-Topological Soliton Formation
• Nonequilibrium fixed points in longitudinally expanding scalar theories: infrared cascade, Bose condensation and a challenge for kinetic theory
• Transport coefficients in large N_f gauge theories with massive fermions
• Perturbative Non-Equilibrium Thermal Field Theory
• Decoherence in an Interacting Quantum Field Theory: The Vacuum Case
• Chern-Simons and Winding Number in a Tachyonic Electroweak Transition
• Non-renormalizability of the classical statistical approximation
• Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation
• Out of equilibrium dynamics of coherent non-abelian gauge fields
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• Isotropization far from equilibrium
• 2PI effective action for gauge theories: Renormalization
• 2PI functional techniques for gauge theories: QED
• Renormalised nonequilibrium quantum field theory: scalar fields
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
• Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model
• Progress in nonequilibrium quantum field theory III
• Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles
• Real-time dynamics of false vacuum decay
• Ultraviolet cascade in the thermalization of the classical phi^4 theory in 3+1 dimensions
• Looking for defects in the 2PI correlator
• Ultracold gases far from equilibrium
• Semiclassical Approximation meets Keldysh-Schwinger diagrammatic technique: Scalar ${\phi }^4$
• Broken phase scalar effective potential and Phi-derivable approximations
• Ward Identities for the 2PI effective action in QED
• Non-equilibrium dynamics of a scalar field with quantum backreaction
• Nonperturbative renormalization of Phi-derivable approximations in theories with fermions
• Topological defect formation from 2PI effective action techniques
• Affleck-Dine dynamics, Q-ball formation and thermalisation
• Thermal effects on slow-roll dynamics
• Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
• 2PI nonequilibrium versus transport equations for an ultracold Bose gas
• Particle creation and warm inflation
• Tachyonic production of dark relics: a non-perturbative quantum study
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Thermalization of overpopulated systems in the 2PI formalism
• Quantum quenches during inflation
• Nonequilibrium 2PI evolution of the O(N) model with longitudinal expansion
• A critical look at the role of the bare parameters in the renormalization of Phi-derivable approximations
• Probing universal dynamics with topological data analysis in a gluonic plasma
• Thermal blocking of preheating
• Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis
• Counting defects with the two-point correlator
• The Physics of Q-balls
• Renormalization out of equilibrium in a superrenormalizable theory
• Renormalisation of out-of-equilibrium quantum fields
• The role of dissipation in biasing the vacuum selection in quantum field theory at finite temperature
• 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
• Simulations in Early Universe Theory
• Ultracold atomic quantum gases far from equilibrium
• Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium
• 2PI Effective Action and Evolution Equations of N = 4 super Yang-Mills
• Non-linear effects in early Universe cosmology
• Non-equilibrium Quantum Many-Body Dynamics: Functional Integral Approaches
• Bubble nucleation and quantum initial conditions in classical statistical simulations
• The 2PI coupling expansion revisited