CosmoLattice

Abstract

This is the user manual for CosmoLattice, a modern package for lattice simulations of the dynamics of interacting scalar and gauge fields in an expanding universe. CosmoLattice incorporates a series of features that makes it very versatile and powerful: $i)$ it is written in C++ fully exploiting the object oriented programming paradigm, with a modular structure and a clear separation between the physics and the technical details, $ii)$ it is MPI-based and uses a discrete Fourier transform parallelized in multiple spatial dimensions, which makes it specially appropriate for probing scenarios with well-separated scales, running very high resolution simulations, or simply very long ones, $iii)$ it introduces its own symbolic language, defining field variables and operations over them, so that one can introduce differential equations and operators in a manner as close as possible to the continuum, $iv)$ it includes a library of numerical algorithms, ranging from $O(\delta t^2)$ to $O(\delta t^{10})$ methods, suitable for simulating global and gauge theories in an expanding grid, including the case of `self-consistent' expansion sourced by the fields themselves. Relevant observables are provided for each algorithm (e.g.~energy densities, field spectra, lattice snapshots) and we note that remarkably all our algorithms for gauge theories always respect the Gauss constraint to machine precision. In this manual we explain how to obtain and run CosmoLattice in a computer (let it be your laptop, desktop or a cluster). We introduce the general structure of the code and describe in detail the basic files that any user needs to handle. We explain how to implement any model characterized by a scalar potential and a set of scalar fields, either singlets or interacting with $U(1)$ and/or $SU(2)$ gauge fields. CosmoLattice is publicly available at www.cosmolattice.net.

111 pages, 3 figures and O(100) code files. v1.1 is out, with GW!

References in corpus (1)

• GRChombo: An adaptable numerical relativity code for fundamental physics

Cited by in corpus (52)

• Lattice Simulations of Axion-U(1) Inflation
• Inflationary Butterfly Effect: Non-perturbative Dynamics From Small-Scale Features
• Scalar Dark Matter Production from Preheating and Structure Formation Constraints
• Instability in axion inflation with strong backreaction from gauge modes
• Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
• Oscillon formation during inflationary preheating with general relativity
• One $\mu$ to rule them all: CMB spectral distortions can probe domain walls, cosmic strings and low scale phase transitions
• Dark matter production via a non-minimal coupling to gravity
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• Gravitational Wave Emission from a Cosmic String Loop, I: Global Case
• Revisiting evolution of domain walls and their gravitational radiation with CosmoLattice
• Gravitational wave production from preheating with trilinear interactions
• Unveiling the nonlinear dynamics of a rolling axion during inflation
• The non-linear dynamics of axion inflation: a detailed lattice study
• Oscillon formation from preheating in asymmetric inflationary potentials
• Analog vacuum decay from vacuum initial conditions
• Gravitational wave and particle emission from a cosmic string loop: local case
• On the Schwinger effect during axion inflation
• Gravitational Dark Matter from Minimal Preheating
• Warm inflation with a heavy QCD axion
• Gravitational Wave Symphony from Oscillating Spectator Scalar Fields
• Characterizing the post-inflationary reheating history, Part II: Multiple interacting daughter fields
• The Spectrum of Gravitational Waves from Annihilating Domain Walls
• Present and future of CosmoLattice
• A universal bound on the duration of a kination era
• Detectable Gravitational Waves from preheating probes non-thermal Dark Matter
• Gravitational Waves from Preheating in Inflation with Weyl Symmetry
• Primordial Power Spectrum and Bispectrum from Lattice Simulations of Axion-U(1) Inflation
• Quantitative classicality in cosmological interactions during inflation
• Dissipative Genesis of the Inflationary Universe
• Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
• Gravitational Wave Probe of Gravitational Dark Matter from Preheating
• Equation of state during (p)reheating with trilinear interactions
• Impact of Dark Sector Preheating on CMB Observables
• (Non-)Perturbative Dynamics of a Light QCD Axion: Dark Matter and the Strong CP Problem
• Dissipative Emergence of Inflation from Quasi-Cyclic Universe
• Potential Surge Preheating: enhanced resonance from potential features
• Stochastic Inflation in Numerical Relativity
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Non-Scaling Topological Defects and Gravitational Waves in Higgs Portal
• Gravitational wave and dark matter from Axion-Higgs string
• Dynamical backreaction of a mass-acquiring scalar field on first-order phase transitions
• Preheating and gravitational waves in large-field hilltop inflation
• Probing baryogenesis with gravitational waves
• Dynamics of $Z_N$ domain walls with bias directions
• Self-resonance during preheating: The case of $\alpha$-attractor models
• Gauge coupling jump and small instantons from a large non-minimal coupling
• Classical equipartition dynamics between axions and non-Abelian gauge fields
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• Testing Nambu-Goto approximation of cosmic string by lattice field simulations
• Dark Matter Freeze-in from a $Z^{\prime }$ Reheaton
• Fermion (non)reheating with a quartic inflaton potential