# Observational Signatures and Non-Gaussianities ofGeneral Single Field Inflation

## Abstract

We perform a general study of primordial scalar non-Gaussianities in single field inflationary models. We consider models where the inflaton Lagrangian is an arbitrary function of the scalar field and its first derivative, and the sound speed is arbitrary. We find that under reasonable assumptions, the non-Gaussianity is completely determined by 5 parameters. In special limits of the parameter space, one finds distinctive ''shapes'' of the non-Gaussianity. In models with a small sound speed, several of these shapes would become potentially observable in the near future. Different limits of our formulae recover various previously known results.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center (SLAC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 881956

- Report Number(s):
- SLAC-PUB-11840

hep-th/0605045; TRN: US200612%%879

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INFLATIONARY UNIVERSE; LAGRANGIAN FUNCTION; SCALAR FIELDS; Theory-HEP,HEPTH

### Citation Formats

```
Chen, Xingang, Huang, Min-xin, Kachru, Shamit, and Shiu, Gary.
```*Observational Signatures and Non-Gaussianities ofGeneral Single Field Inflation*. United States: N. p., 2006.
Web. doi:10.2172/881956.

```
Chen, Xingang, Huang, Min-xin, Kachru, Shamit, & Shiu, Gary.
```*Observational Signatures and Non-Gaussianities ofGeneral Single Field Inflation*. United States. doi:10.2172/881956.

```
Chen, Xingang, Huang, Min-xin, Kachru, Shamit, and Shiu, Gary. Fri .
"Observational Signatures and Non-Gaussianities ofGeneral Single Field Inflation". United States.
doi:10.2172/881956. https://www.osti.gov/servlets/purl/881956.
```

```
@article{osti_881956,
```

title = {Observational Signatures and Non-Gaussianities ofGeneral Single Field Inflation},

author = {Chen, Xingang and Huang, Min-xin and Kachru, Shamit and Shiu, Gary},

abstractNote = {We perform a general study of primordial scalar non-Gaussianities in single field inflationary models. We consider models where the inflaton Lagrangian is an arbitrary function of the scalar field and its first derivative, and the sound speed is arbitrary. We find that under reasonable assumptions, the non-Gaussianity is completely determined by 5 parameters. In special limits of the parameter space, one finds distinctive ''shapes'' of the non-Gaussianity. In models with a small sound speed, several of these shapes would become potentially observable in the near future. Different limits of our formulae recover various previously known results.},

doi = {10.2172/881956},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Fri May 05 00:00:00 EDT 2006},

month = {Fri May 05 00:00:00 EDT 2006}

}

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