The Art of Lattice and Gravity Waves from Preheating

Abstract

The nonlinear dynamics of preheating after early-Universe inflation is often studied with lattice simulations. In this work I present a new lattice code HLATTICE. It differs from previous public available codes in the following three aspects: (i) A much higher accuracy is achieved with a modified sixth-order symplectic integrator; (ii) scalar, vector, and tensor metric perturbations in synchronous gauge and their feedback to the dynamics of scalar fields are all included; (iii) the code uses a projector that completely removes the scalar and vector components defined by the discrete spatial derivatives. Such a generic code can have wide range of applications. As an example, gravity waves from preheating after inflation are calculated with a better accuracy.

17 pages, 13 figures, HLattice release, HLattice Version 2.0

References in corpus (87)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmology and the Fate of Dilatation Symmetry
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Towards the Theory of Reheating After Inflation
• Reheating after Inflation
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• First-year Sloan Digital Sky Survey-II (SDSS-II) Supernova Results: Hubble Diagram and Cosmological Parameters
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• Cosmological perturbations
• Quintessence arising from exponential potentials
• Reheating in Inflationary Cosmology: Theory and Applications
• Dynamics of Symmetry Breaking and Tachyonic Preheating
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Structure of Resonance in Preheating after Inflation
• The Lyman-alpha Forest Power Spectrum from the Sloan Digital Sky Survey
• Towards a Precise Measurement of Matter Clustering: Lyman-alpha Forest Data at Redshifts 2-4
• The Linear Theory Power Spectrum from the Lyman-alpha Forest in the Sloan Digital Sky Survey
• Quintessence and Supergravity
• Relic gravitational waves produced after preheating
• Tachyonic Instability and Dynamics of Spontaneous Symmetry Breaking
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• High resolution CMB power spectrum from the complete ACBAR data set
• The ESSENCE Supernova Survey: Survey Optimization, Observations, and Supernova Photometry
• Inferring the dark matter power spectrum from the Lyman-alpha forest in high-resolution QSO absorption spectra
• A Gravitational Wave Background from Reheating after Hybrid Inflation
• Gravitational Wave Production At The End Of Inflation
• COSMOS: 3D weak lensing and the growth of structure
• First cosmic shear results from the Canada-France-Hawaii Telescope Wide Synoptic Legacy Survey
• A stochastic background of gravitational waves from hybrid preheating
• Preheating of Fermions
• Models of dynamical supersymmetry breaking and quintessence
• Preheating with Trilinear Interactions: Tachyonic Resonance
• LATTICEEASY: A Program for Lattice Simulations of Scalar Fields in an Expanding Universe
• Cosmological Constraints From the 100 Square Degree Weak Lensing Survey
• High sensitivity measurements of the CMB power spectrum with the extended Very Small Array
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Measurement of Cosmic Microwave Background Polarization Power Spectra from Two Years of BICEP Data
• Constraints on Omega_m and sigma_8 from weak lensing in RCS fields
• Gravitational Waves from Abelian Gauge Fields and Cosmic Strings at Preheating
• The Paths of Quintessence
• Gravity Waves from Tachyonic Preheating after Hybrid Inflation
• A measurement of weak lensing by large scale structure in RCS fields
• Dealing with systematics in cosmic shear studies: new results from the VIRMOS-Descart Survey
• The power spectrum of the flux distribution in the Lyman-alpha forest of a Large sample of UVES QSO Absorption Spectra (LUQAS)
• Estimates of Cosmological Parameters Using the CMB Angular Power Spectrum of ACBAR
• The Atacama Cosmology Telescope: A Measurement of the 600< ell <8000 Cosmic Microwave Background Power Spectrum at 148 GHz
• Non-Gaussian Spikes from Chaotic Billiards in Inflation Preheating
• Quintessence models in Supergravity
• Implications of the Cosmic Background Imager Polarization Data
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Lattice calculation of non-Gaussianity from preheating
• Baryon asymmetry from electroweak tachyonic preheating
• DEFROST: A New Code for Simulating Preheating after Inflation
• Dynamical behavior of generic quintessence potentials: constraints on key dark energy observables
• Reheating the Universe After Multi-Field Inflation
• Gravitational waves from self-ordering scalar fields
• Gravitational Waves From the End of Inflation: Computational Strategies
• Tracking quintessence by cosmic shear - Constraints from VIRMOS-Descart and CFHTLS and future prospects
• PSpectRe: A Pseudo-Spectral Code for (P)reheating
• Primordial magnetic fields from preheating at the electroweak scale
• Non-Gaussianity from massless preheating
• A combined analysis of 3D Weak Lensing, Lyman-alpha forest and WMAP year three data
• Topological Defects Formation after Inflation on Lattice Simulation
• Non-linear Dynamics and Primordial Curvature Perturbations from Preheating
• Natural Quintessence with Gauge Coupling Unification
• Preheating After Modular Inflation
• Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation
• CUDAEASY - a GPU Accelerated Cosmological Lattice Program
• Constraining Large Scale Structure Theories with the Cosmic Background Radiation
• The nonperturbative decay of SUSY flat directions
• The local B-polarization of the CMB: a very sensitive probe of cosmic defects
• Cosmological Parameters from the QUaD CMB polarization experiment
• Parameterizing and Measuring Dark Energy Trajectories from Late-Inflatons
• Gravitational Waves from the Non-Perturbative Decay of Condensates along Supersymmetric Flat Directions
• Non-linear metric perturbation enhancement of primordial gravitational waves

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• Revisiting isocurvature bounds in models unifying the axion with the inflaton
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Present and future of CosmoLattice
• Detectable Gravitational Waves from preheating probes non-thermal Dark Matter
• Gravitational Waves from Preheating in Inflation with Weyl Symmetry
• On the Expected Backreaction During Preheating
• On the Expected Production of Gravitational Waves During Preheating
• Q-balls Formation and the Production of Gravitational Waves With Non-minimal Gravitational Coupling
• Curvature perturbations from kinetic preheating after $\alpha$-attractor inflation
• Potential Surge Preheating: enhanced resonance from potential features
• Curvature perturbations from preheating with scale dependence
• (P)reheating Effects of the Kähler Moduli Inflation I Model
• Gravitational Waves and Primordial Black Holes produced by Dark Meta Stable Vacuum Decay
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• (P)reheating Effects of a Constrained Kähler Moduli Inflation Model
• Gravitational Waves from Preheating with Modified Gravitational-wave Propagation
• Simple third order operator-splitting schemes for stochastic mechanics and field theory
• Non-Gaussianity after many-field reheating