Low-cost fermions in classical field simulations

Abstract

We discuss the possible extension of the bosonic classical field theory simulations to include fermions. This problem has been addressed in terms of the inhomogeneous mean field approximation by Aarts and Smit. By performing a stochastic integration of an equivalent set of equations we can extend the original 1+1 dimensional calculations so that they become feasible in higher dimensions. We test the scheme in 2 + 1 dimensions and discuss some classical applications with fermions for the first time, such as the decay of oscillons.

13 pages, revtex4

References in corpus (96)

• Towards the Theory of Reheating After Inflation
• Reheating after Inflation
• Cosmic strings
• Universe Reheating after Inflation
• Dynamics of Symmetry Breaking and Tachyonic Preheating
• Some Features of the Glasma
• Prethermalization
• Introduction to Nonequilibrium Quantum Field Theory
• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Classical decay of inflaton
• Effective Kinetic Theory for High Temperature Gauge Theories
• Relic gravitational waves produced after preheating
• Oscillons: Resonant Configurations During Bubble Collapse
• Production of Massive Fermions at Preheating and Leptogenesis
• Production of gluons in the classical field model for heavy ion collisions
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• Non-Thermal Phase Transitions after Inflation
• Pseudo-Stable Bubbles
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Collective non-Abelian instabilities in a melting Color Glass Condensate
• A stochastic background of gravitational waves from hybrid preheating
• The Unstable Glasma
• The initial gluon multiplicity in heavy ion collisions
• Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
• Non-Equilibrium Quantum Fields in the Large N Expansion
• Chern-Simons Number Diffusion and Hard Thermal Loops on the Lattice
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Bremsstrahlung and photon production in thermal QCD
• Fitting CMB data with cosmic strings and inflation
• Numerical simulations of string networks in the Abelian-Higgs model
• Parametric resonance in quantum field theory
• Non-equilibrium electroweak baryogenesis from preheating after inflation
• Classical aspects of quantum fields far from equilibrium
• Lattice simulations of real-time quantum fields
• On the Evolution of Abelian-Higgs String Networks
• QCD Plasma Instabilities: The Nonabelian Cascade
• Thermalization of fermionic quantum fields
• Cosmic strings from preheating
• Magnetic field production during preheating at the electroweak scale
• Stochastic quantization at finite chemical potential
• Bottom-up isotropization in classical-statistical lattice gauge theory
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• The Development of Equilibrium After Preheating
• Relic gravitational waves from colliding bubbles and cosmic turbulence
• Nonequilibrium dynamics of fermions in a spatially homogeneous scalar background field
• Non-abelian plasma instabilities for strong anisotropy
• Landau-Pomeranchuk-Migdal effect in thermal field theory
• Lattice calculation of non-Gaussianity from preheating
• Baryon asymmetry from electroweak tachyonic preheating
• Simulating nonequilibrium quantum fields with stochastic quantization techniques
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Scaling in Numerical Simulations of Domain Walls
• The Cosmological Evolution of Domain Wall Networks
• Chemical thermalization in relativistic heavy ion collisions
• Real-Time Dynamics with Fermions on a Lattice
• Non-Abelian Plasma Instabilities for Extreme Anisotropy
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Electroweak preheating on a lattice
• Analytical Characterization of Oscillon Energy and Lifetime
• First-order nonthermal phase transition after preheating
• Particle production from symmetry breaking after inflation and leptogenesis
• Oscillons and quasi-breathers in D+1 dimensions
• Classical Field Dynamics of the Electroweak Phase Transition
• Non-Equilibrium Bose-Einstein Condensates, Dynamical Scaling and Symmetric Evolution in large N Phi^4 theory
• Numerical Investigations of Oscillons in 2 Dimensions
• Primordial magnetic fields from preheating at the electroweak scale
• Non-Gaussianity from massless preheating
• Cosmic microwave anisotropies from BPS semilocal strings
• Scaling Property of the global string in the radiation dominated universe
• Oscillons and Domain Walls
• Evolution of a global string network in a matter dominated universe
• Particle Production and Effective Thermalization in Inhomogeneous Mean Field Theory
• Thermalization in a Hartree Ensemble Approximation to Quantum Field dynamics
• Ward identity and electrical conductivity in hot QED
• Simulations of Cold Electroweak Baryogenesis: Finite time quenches
• Fermions on Colliding Branes
• Fermion production during preheating after hybrid inflation
• Bubbling the False Vacuum Away
• Problems with lattice methods for electroweak preheating
• Staying Thermal with Hartree Ensemble Approximations
• Semilocal Cosmic String Networks
• Renormalization of the nonequilibrium dynamics of fermions in a flat FRW universe
• Particle transfer in braneworld collisions
• Looking for defects in the 2PI correlator
• Semiclassical decay of topological defects
• Nonequilibrium evolution in scalar O(N) models with spontaneous symmetry breaking
• The pressure of QED from the two-loop 2PI effective action
• Nonequilibrium evolution and symmetry structure of the large-N ${\Phi }^4$ model at finite temperature
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature
• Dynamical behavior of spatially inhomogeneous relativistic $\lambda {\varphi }^4$ quantum field theory in the Hartree approximation
• The Hartree ensemble approximation revisited: The "symmetric phase"
• Out of Equilibrium Non-perturbative Quantum Field Dynamics in Homogeneous External Fields
• Relaxation of 2+1 dimensional classical O(2) symmetric scalar fields
• The fermion spectrum in braneworld collisions
• Simulations of Cold Electroweak Baryogenesis
• Real Time Dynamics of Symmetry Breaking

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• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Schwinger mechanism revisited
• Progress on Cosmological Magnetic Fields
• Simulating fermion production in 1+1 dimensional QED
• The art of simulating the early Universe -- Part I
• Off-equilibrium sphaleron transitions in the Glasma
• The Decay of the Standard Model Higgs after Inflation
• Combined Preheating on the lattice with applications to Higgs inflation
• Fermion production from real-time lattice gauge theory in the classical-statistical regime
• Quantum theory of fermion production after inflation
• Radiation of scalar oscillons in 2 and 3 dimensions
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Equilibration and relaxation times at the chiral phase transition including reheating
• Numerical study of chiral plasma instability within the classical statistical field theory approach
• Formulation of the Schwinger mechanism in classical statistical field theory
• Real-time Fermions for Baryogenesis Simulations
• Mass loss and longevity of gravitationally bound oscillating scalar lumps (oscillatons) in D-dimensions
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Early quark production and approach to chemical equilibrium
• Transient anomalous charge production in strong-field QCD
• Simulations of relativistic-quantum plasmas using real-time lattice scalar QED
• On the Langevin description of nonequilibrium quantum fields
• Quantum Evaporation of Classical Breathers
• Nonequilibrium quark production in the expanding QCD plasma
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
• Amplified Fermion Production from Overpopulated Bose Fields
• Connecting real-time properties of the massless Schwinger model to the massive case
• Ensemble fermions for electroweak dynamics and the fermion preheating temperature
• Oscillons in dilaton-scalar theories
• Electromagnetic currents induced by color fields
• Non-topological solitons and quasi-solitons
• A review on radiation of oscillons and oscillatons
• Understanding oscillons: standing waves in a ball
• Recrudescence of massive fermion production by oscillons
• Seed and vacuum pair production in strong laser field
• Nonequilibrium axial charge production in expanding glasma flux tubes
• Gauge invariant canonical symplectic algorithms for real-time lattice strong-field quantum electrodynamics
• Nonequilibrium quark production in the expanding QCD plasma
• Simulations of "Tunnelling of the 3rd Kind"
• Cold Baryogenesis from first principles in the Two-Higgs Doublet model with Fermions
• Plasma Physics in Strong Field Regimes