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Title: Systematics of aligned axions

Abstract

We describe a novel technique that renders theories of N axions tractable, and more generally can be used to efficiently analyze a large class of periodic potentials of arbitrary dimension. Such potentials are complex energy landscapes with a number of local minima that scales as $$\sqrt{N!}$$ ,and so for large N appear to be analytically and numerically intractable. Our method is based on uncovering a set of approximate symmetries that exist in addition to the N periods. These approximate symmetries, which are exponentially close to exact, allow us to locate the minima very efficiently and accurately and to analyze other characteristics of the potential. We apply our framework to evaluate the diameters of flat regions suitable for slow-roll inflation, which unifies, corrects and extends several forms of “axion alignment” previously observed in the literature. We find that in a broad class of random theories, the potential is smooth over diameters enhanced by N 3/2 compared to the typical scale of the potential. To this end, a Mathematica implementation of our framework is available online.

Authors:
 [1];  [2];  [3];  [3]
  1. Columbia Univ., New York, NY (United States)
  2. Columbia Univ., New York, NY (United States); Univ. of Milano-Bicocca, Milano, (Italy)
  3. New York Univ. (NYU), NY (United States)
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1499163
Grant/Contract Number:  
Sc0011941
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Superstring Vacua

Citation Formats

Bachlechner, Thomas C., Eckerle, Kate, Janssen, Oliver, and Kleban, Matthew. Systematics of aligned axions. United States: N. p., 2017. Web. doi:10.1007/jhep11(2017)036.
Bachlechner, Thomas C., Eckerle, Kate, Janssen, Oliver, & Kleban, Matthew. Systematics of aligned axions. United States. doi:10.1007/jhep11(2017)036.
Bachlechner, Thomas C., Eckerle, Kate, Janssen, Oliver, and Kleban, Matthew. Wed . "Systematics of aligned axions". United States. doi:10.1007/jhep11(2017)036. https://www.osti.gov/servlets/purl/1499163.
@article{osti_1499163,
title = {Systematics of aligned axions},
author = {Bachlechner, Thomas C. and Eckerle, Kate and Janssen, Oliver and Kleban, Matthew},
abstractNote = {We describe a novel technique that renders theories of N axions tractable, and more generally can be used to efficiently analyze a large class of periodic potentials of arbitrary dimension. Such potentials are complex energy landscapes with a number of local minima that scales as $\sqrt{N!}$ ,and so for large N appear to be analytically and numerically intractable. Our method is based on uncovering a set of approximate symmetries that exist in addition to the N periods. These approximate symmetries, which are exponentially close to exact, allow us to locate the minima very efficiently and accurately and to analyze other characteristics of the potential. We apply our framework to evaluate the diameters of flat regions suitable for slow-roll inflation, which unifies, corrects and extends several forms of “axion alignment” previously observed in the literature. We find that in a broad class of random theories, the potential is smooth over diameters enhanced by N 3/2 compared to the typical scale of the potential. To this end, a Mathematica implementation of our framework is available online.},
doi = {10.1007/jhep11(2017)036},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}

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Cited by: 11 works
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    Works referencing / citing this record:

    Pole N-flation
    journal, February 2019

    • Dias, Mafalda; Frazer, Jonathan; Retolaza, Ander
    • Journal of High Energy Physics, Vol. 2019, Issue 2
    • DOI: 10.1007/jhep02(2019)120