# A polynomial f(R) inflation model

## Abstract

Motivated by the ultraviolet complete theory of quantum gravity, for example the string theory, we investigate a polynomial f(R) inflation model in detail. We calculate the spectral index and tensor-to-scalar ratio in the f(R) inflation model with the form of f(R)=R+((R{sup 2})/(6M{sup 2}))+((λ{sub n})/(2n))((R{sup n})/((3M{sup 2}){sup n−1})). Compared to Planck 2013, we find that R{sup n} term should be exponentially suppressed, i.e. |λ{sub n}|≲10{sup −2n+2.6}.

- Authors:

- State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, Beijing, 100190 People’s Republic of (China)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22454494

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 02; Other Information: PUBLISHER-ID: JCAP02(2014)035; OAI: oai:repo.scoap3.org:1371; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL INFLATION; POLYNOMIALS; QUANTUM GRAVITY; SCALARS; STRING MODELS; STRING THEORY; TENSORS; ULTRAVIOLET RADIATION

### Citation Formats

```
Huang, Qing-Guo.
```*A polynomial f(R) inflation model*. United States: N. p., 2014.
Web. doi:10.1088/1475-7516/2014/02/035.

```
Huang, Qing-Guo.
```*A polynomial f(R) inflation model*. United States. doi:10.1088/1475-7516/2014/02/035.

```
Huang, Qing-Guo. Wed .
"A polynomial f(R) inflation model". United States.
doi:10.1088/1475-7516/2014/02/035.
```

```
@article{osti_22454494,
```

title = {A polynomial f(R) inflation model},

author = {Huang, Qing-Guo},

abstractNote = {Motivated by the ultraviolet complete theory of quantum gravity, for example the string theory, we investigate a polynomial f(R) inflation model in detail. We calculate the spectral index and tensor-to-scalar ratio in the f(R) inflation model with the form of f(R)=R+((R{sup 2})/(6M{sup 2}))+((λ{sub n})/(2n))((R{sup n})/((3M{sup 2}){sup n−1})). Compared to Planck 2013, we find that R{sup n} term should be exponentially suppressed, i.e. |λ{sub n}|≲10{sup −2n+2.6}.},

doi = {10.1088/1475-7516/2014/02/035},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 02,

volume = 2014,

place = {United States},

year = {Wed Feb 19 00:00:00 EST 2014},

month = {Wed Feb 19 00:00:00 EST 2014}

}

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