### Abstract

A new approach to gravitational instability in large-scale structure is described, where the equations of motion are written and solved as in field theory in terms of Feynman diagrams. The basic objects of interest are the propagator (which propagates solutions forward in time), the vertex (which describes nonlinear interactions between waves) and a source with prescribed statistics which describes the effect of initial conditions. We show that loop corrections renormalize these quantities, and discuss applications of this formalism to a better understanding of gravitational instability and to improving nonlinear perturbation theory in the transition to the nonlinear regime. We also consider the role of vorticity creation due to shell-crossing and show using N-body simulations for which at small (virialized) scales the velocity field reaches equipartition, that is, the vorticity power spectrum is about twice the divergence power spectrum.

Original language | English (US) |
---|---|

Pages (from-to) | 13-23 |

Number of pages | 11 |

Journal | Annals of the New York Academy of Sciences |

Volume | 927 |

State | Published - 2001 |

### Fingerprint

### Keywords

- Gravitational instability
- Large-scale structure of the Universe

### ASJC Scopus subject areas

- Biochemistry, Genetics and Molecular Biology(all)

### Cite this

*Annals of the New York Academy of Sciences*,

*927*, 13-23.

**A new angle on gravitational clustering.** / Scoccimarro, Román.

Research output: Contribution to journal › Article

*Annals of the New York Academy of Sciences*, vol. 927, pp. 13-23.

}

TY - JOUR

T1 - A new angle on gravitational clustering

AU - Scoccimarro, Román

PY - 2001

Y1 - 2001

N2 - A new approach to gravitational instability in large-scale structure is described, where the equations of motion are written and solved as in field theory in terms of Feynman diagrams. The basic objects of interest are the propagator (which propagates solutions forward in time), the vertex (which describes nonlinear interactions between waves) and a source with prescribed statistics which describes the effect of initial conditions. We show that loop corrections renormalize these quantities, and discuss applications of this formalism to a better understanding of gravitational instability and to improving nonlinear perturbation theory in the transition to the nonlinear regime. We also consider the role of vorticity creation due to shell-crossing and show using N-body simulations for which at small (virialized) scales the velocity field reaches equipartition, that is, the vorticity power spectrum is about twice the divergence power spectrum.

AB - A new approach to gravitational instability in large-scale structure is described, where the equations of motion are written and solved as in field theory in terms of Feynman diagrams. The basic objects of interest are the propagator (which propagates solutions forward in time), the vertex (which describes nonlinear interactions between waves) and a source with prescribed statistics which describes the effect of initial conditions. We show that loop corrections renormalize these quantities, and discuss applications of this formalism to a better understanding of gravitational instability and to improving nonlinear perturbation theory in the transition to the nonlinear regime. We also consider the role of vorticity creation due to shell-crossing and show using N-body simulations for which at small (virialized) scales the velocity field reaches equipartition, that is, the vorticity power spectrum is about twice the divergence power spectrum.

KW - Gravitational instability

KW - Large-scale structure of the Universe

UR - http://www.scopus.com/inward/record.url?scp=0034994070&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034994070&partnerID=8YFLogxK

M3 - Article

VL - 927

SP - 13

EP - 23

JO - Annals of the New York Academy of Sciences

JF - Annals of the New York Academy of Sciences

SN - 0077-8923

ER -