# The adhesion model as a field theory for cosmological clustering

## Abstract

The adhesion model has been proposed in the past as an improvement of the Zel'dovich approximation, providing a good description of the formation of the cosmic web. We recast the model as a field theory for cosmological large scale structure, adding a stochastic force to account for power generated from very short, highly non-linear scales that is uncorrelated with the initial power spectrum. The dynamics of this Stochastic Adhesion Model (SAM) is reminiscent of the well known Kardar-Parisi-Zhang equation with the difference that the viscosity and the noise spectrum are time dependent. Choosing the viscosity proportional to the growth factor D restricts the form of noise spectrum through a 1-loop renormalization argument. For this choice, the SAM field theory is renormalizable to one loop. We comment on the suitability of this model for describing the non-linear regime of the CDM power spectrum and its utility as a relatively simple approach to cosmological clustering.

- Authors:

- Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 12, Heidelberg, 69120 Germany (Germany)

- Publication Date:

- OSTI Identifier:
- 22382035

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; EQUATIONS; FIELD THEORIES; NOISE; NONLINEAR PROBLEMS; RENORMALIZATION; SPECTRA; STOCHASTIC PROCESSES; TIME DEPENDENCE; VISCOSITY

### Citation Formats

```
Rigopoulos, Gerasimos, E-mail: rigopoulos@thphys.uni-heidelberg.de.
```*The adhesion model as a field theory for cosmological clustering*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/01/014.

```
Rigopoulos, Gerasimos, E-mail: rigopoulos@thphys.uni-heidelberg.de.
```*The adhesion model as a field theory for cosmological clustering*. United States. doi:10.1088/1475-7516/2015/01/014.

```
Rigopoulos, Gerasimos, E-mail: rigopoulos@thphys.uni-heidelberg.de. Thu .
"The adhesion model as a field theory for cosmological clustering". United States.
doi:10.1088/1475-7516/2015/01/014.
```

```
@article{osti_22382035,
```

title = {The adhesion model as a field theory for cosmological clustering},

author = {Rigopoulos, Gerasimos, E-mail: rigopoulos@thphys.uni-heidelberg.de},

abstractNote = {The adhesion model has been proposed in the past as an improvement of the Zel'dovich approximation, providing a good description of the formation of the cosmic web. We recast the model as a field theory for cosmological large scale structure, adding a stochastic force to account for power generated from very short, highly non-linear scales that is uncorrelated with the initial power spectrum. The dynamics of this Stochastic Adhesion Model (SAM) is reminiscent of the well known Kardar-Parisi-Zhang equation with the difference that the viscosity and the noise spectrum are time dependent. Choosing the viscosity proportional to the growth factor D restricts the form of noise spectrum through a 1-loop renormalization argument. For this choice, the SAM field theory is renormalizable to one loop. We comment on the suitability of this model for describing the non-linear regime of the CDM power spectrum and its utility as a relatively simple approach to cosmological clustering.},

doi = {10.1088/1475-7516/2015/01/014},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 01,

volume = 2015,

place = {United States},

year = {Thu Jan 01 00:00:00 EST 2015},

month = {Thu Jan 01 00:00:00 EST 2015}

}