Notes on natural inflation
Abstract
In the so-called natural inflation, an axion-like inflaton is assumed to have a cosine-type periodic potential. This is not the case in a very simple model in which the axion-like inflaton is coupled to an SU(N) (or other) pure Yang–Mills, at least in the large N limit as pointed out by Witten. It has a multi-valued potential, which is effectively quadratic, i.e., there is only a mass term in the large N limit. Thanks to this property, chaotic inflation can be realized more naturally with the decay constant of the axion-like inflaton less than the Planck scale. We demonstrate these points explicitly by using softly broken N=1 Super-Yang-Mills which allows us to treat finite N. This analysis also suggests that moderately large gauge groups such as E{sub 8} are good enough with a Planck scale decay constant.
- Authors:
-
- School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540 (United States)
- Publication Date:
- OSTI Identifier:
- 22375801
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2014; Journal Issue: 10; 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; CHAOS THEORY; COSMOLOGICAL INFLATION; DECAY; MASS; POTENTIALS; YANG-MILLS THEORY
Citation Formats
Yonekura, Kazuya. Notes on natural inflation. United States: N. p., 2014.
Web. doi:10.1088/1475-7516/2014/10/054.
Yonekura, Kazuya. Notes on natural inflation. United States. https://doi.org/10.1088/1475-7516/2014/10/054
Yonekura, Kazuya. 2014.
"Notes on natural inflation". United States. https://doi.org/10.1088/1475-7516/2014/10/054.
@article{osti_22375801,
title = {Notes on natural inflation},
author = {Yonekura, Kazuya},
abstractNote = {In the so-called natural inflation, an axion-like inflaton is assumed to have a cosine-type periodic potential. This is not the case in a very simple model in which the axion-like inflaton is coupled to an SU(N) (or other) pure Yang–Mills, at least in the large N limit as pointed out by Witten. It has a multi-valued potential, which is effectively quadratic, i.e., there is only a mass term in the large N limit. Thanks to this property, chaotic inflation can be realized more naturally with the decay constant of the axion-like inflaton less than the Planck scale. We demonstrate these points explicitly by using softly broken N=1 Super-Yang-Mills which allows us to treat finite N. This analysis also suggests that moderately large gauge groups such as E{sub 8} are good enough with a Planck scale decay constant.},
doi = {10.1088/1475-7516/2014/10/054},
url = {https://www.osti.gov/biblio/22375801},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 10,
volume = 2014,
place = {United States},
year = {Wed Oct 01 00:00:00 EDT 2014},
month = {Wed Oct 01 00:00:00 EDT 2014}
}