Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
arXiv:2108.07298 · doi:10.1103/PhysRevD.105.023506
Abstract
The functional renormalisation group is employed to study the non-linear regime of late-time cosmic structure formation. This framework naturally allows for non-perturbative approximation schemes, usually guided by underlying symmetries or a truncation of the theory space. An extended symmetry that is related to Galilean invariance is studied and corresponding Ward identities are derived. These are used to obtain (formally) closed renormalisation group flow equations for two-point correlation functions in the limit of large wave numbers (small scales). The flow equations are analytically solved in an approximation that is connected to the 'sweeping effect' previously described in the context of fluid turbulence.
16 pages, corrected typos
References in corpus (56)
- Exact evolution equation for the effective potential
- Large-Scale Structure of the Universe and Cosmological Perturbation Theory
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Cosmological Non-Linearities as an Effective Fluid
- The Effective Field Theory of Cosmological Large Scale Structures
- The nonperturbative functional renormalization group and its applications
- Renormalized Cosmological Perturbation Theory
- Nonlinear Evolution of Baryon Acoustic Oscillations
- Memory of Initial Conditions in Gravitational Clustering
- Generation of Vorticity and Velocity Dispersion by Orbit Crossing
- Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
- Loop Corrections in Non-Linear Cosmological Perturbation Theory
- Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
- Single-Field Consistency Relations of Large Scale Structure
- Resumming Cosmic Perturbations
- Symmetries and Consistency Relations in the Large Scale Structure of the Universe
- A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
- Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
- Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
- Dark matter clustering: a simple renormalization group approach
- Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
- Cosmological perturbation theory at three-loop order
- Self-Similar Evolution of Cosmological Density Fluctuations
- Large-N expansions applied to gravitational clustering
- General framework of the non-perturbative renormalization group for non-equilibrium steady states
- Path integral methods for the dynamics of stochastic and disordered systems
- On the non-linear scale of cosmological perturbation theory
- Fully developed isotropic turbulence: nonperturbative renormalization group formalism and fixed point solution
- Resummed propagators in multi-component cosmic fluids with the eikonal approximation
- Baryonic Acoustic Oscillations via the Renormalization Group
- A new approach to gravitational clustering: a path-integral formalism and large-N expansions
- Effective action for stochastic partial differential equations
- Large scale structure from viscous dark matter
- Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
- Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
- A microscopic, non-equilibrium, statistical field theory for cosmic structure formation
- Power spectra in the eikonal approximation with adiabatic and non-adiabatic modes
- How to generate a significant effective temperature for cold dark matter, from first principles
- Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids
- Using the Zeldovich dynamics to test expansion schemes
- Statistical Cosmology with Quadratic Density Fields
- Spatiotemporal velocity-velocity correlation function in fully developed turbulence
- Fully developed isotropic turbulence: symmetries and exact identities
- Expansion schemes for gravitational clustering: computing two-point and three-point functions
- Next-to-leading resummations in cosmological perturbation theory
- Cosmic Structure Formation with Kinetic Field Theory
- Breaking of scale invariance in the time dependence of correlation functions in isotropic and homogeneous turbulence
- Renormalization-group flow of the effective action of cosmological large-scale structures
- Gauge fixing, BRS invariance and Ward identities for randomly stirred flows
- Evolution of dark matter velocity dispersion
- Eulerian and Lagrangian propagators for the adhesion model (Burgers dynamics)
- Non-equilibrium statistical field theory for classical particles: Basic kinetic theory
- Coarse-grained cosmological perturbation theory: stirring up the dust model
- Conserved and non-conserved Noether currents from the quantum effective action
- A Comment on the Path Integral Approach to Cosmological Perturbation Theory
- Exact Results for Propagators in the Geometrical Adhesion Model