# Gravitational waves and large field inflation

## Abstract

According to the famous Lyth bound, one can confirm large field inflation by finding tensor modes with sufficiently large tensor-to-scalar ratio r . Here we will try to answer two related questions: is it possible to rule out all large field inflationary models by not finding tensor modes with r above some critical value, and what can we say about the scale of inflation by measuring r ? However, in order to answer these questions one should distinguish between two different definitions of the large field inflation and three different definitions of the scale of inflation. We will examine these issues using the theory of cosmological α-attractors as a convenient testing ground.

- Authors:

- Department of Physics and SITP, Stanford University, Stanford, California 94305 (United States)

- Publication Date:

- OSTI Identifier:
- 22680047

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ATTRACTORS; FIELD THEORIES; GRAVITATIONAL WAVES; INFLATIONARY UNIVERSE; SIMULATION

### Citation Formats

```
Linde, Andrei, E-mail: alinde@stanford.edu.
```*Gravitational waves and large field inflation*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/02/006.

```
Linde, Andrei, E-mail: alinde@stanford.edu.
```*Gravitational waves and large field inflation*. United States. doi:10.1088/1475-7516/2017/02/006.

```
Linde, Andrei, E-mail: alinde@stanford.edu. Wed .
"Gravitational waves and large field inflation". United States. doi:10.1088/1475-7516/2017/02/006.
```

```
@article{osti_22680047,
```

title = {Gravitational waves and large field inflation},

author = {Linde, Andrei, E-mail: alinde@stanford.edu},

abstractNote = {According to the famous Lyth bound, one can confirm large field inflation by finding tensor modes with sufficiently large tensor-to-scalar ratio r . Here we will try to answer two related questions: is it possible to rule out all large field inflationary models by not finding tensor modes with r above some critical value, and what can we say about the scale of inflation by measuring r ? However, in order to answer these questions one should distinguish between two different definitions of the large field inflation and three different definitions of the scale of inflation. We will examine these issues using the theory of cosmological α-attractors as a convenient testing ground.},

doi = {10.1088/1475-7516/2017/02/006},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 02,

volume = 2017,

place = {United States},

year = {2017},

month = {2}

}

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