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Title: Disassembling the clockwork mechanism

Abstract

The clockwork mechanism is a way of naturally generating exponential hierarchies in theories without significant hierarchies among fundamental parameters. We emphasize the role of interactions in the clockwork mechanism, demonstrating that clockwork is an intrinsically abelian phenomenon precluded in non-abelian theories such as Yang-Mills, non-linear sigma models, and gravity. Additionally, We show that clockwork is not realized in extra-dimensional theories through purely geometric effects, but may be generated by appropriate localization of zero modes.

Authors:
 [1];  [2];  [1]
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  1. Univ. of California, Santa Barbara, CA (United States)
  2. Univ. of Oxford (United Kingdom); Univ. of California, Santa Barbara, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1512443
Grant/Contract Number:  
SC0014129
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: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Field Theories in Higher Dimensions

Citation Formats

Craig, Nathaniel, Garcia Garcia, Isabel, and Sutherland, Dave. Disassembling the clockwork mechanism. United States: N. p., 2017. Web. doi:10.1007/jhep10(2017)018.
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Craig, Nathaniel, Garcia Garcia, Isabel, & Sutherland, Dave. Disassembling the clockwork mechanism. United States. https://doi.org/10.1007/jhep10(2017)018
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Craig, Nathaniel, Garcia Garcia, Isabel, and Sutherland, Dave. Tue . "Disassembling the clockwork mechanism". United States. https://doi.org/10.1007/jhep10(2017)018. https://www.osti.gov/servlets/purl/1512443.
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@article{osti_1512443,
title = {Disassembling the clockwork mechanism},
author = {Craig, Nathaniel and Garcia Garcia, Isabel and Sutherland, Dave},
abstractNote = {The clockwork mechanism is a way of naturally generating exponential hierarchies in theories without significant hierarchies among fundamental parameters. We emphasize the role of interactions in the clockwork mechanism, demonstrating that clockwork is an intrinsically abelian phenomenon precluded in non-abelian theories such as Yang-Mills, non-linear sigma models, and gravity. Additionally, We show that clockwork is not realized in extra-dimensional theories through purely geometric effects, but may be generated by appropriate localization of zero modes.},
doi = {10.1007/jhep10(2017)018},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {Tue Oct 03 00:00:00 EDT 2017},
month = {Tue Oct 03 00:00:00 EDT 2017}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/jhep10(2017)018
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Figures / Tables:

Figure 1 Figure 1: Left: values of the chargesmore » $q_j$ (normalized to $q$0, for $j$ = 0, . . . , $N$ − 1) that correspond to a discrete clockwork mechanism arising from the deconstruction of a massive 5D scalar field in a flat background, as described in section 5.1. For illustration, we choose $\sqrt{M^{2}_{\phi}}$$πR$ = 15, and focus on the case of $N$ = 5, 10, and 100 lattice sites. We make the first and last point coincident, so that the hierarchy between the first and last charge parameters, and how it changes as we increase the number of sites, be compared between all three cases. Right: same as in the left figure but for the mass-squared clockwork parameters $m^{2}_{j}$ .« less
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Works referenced in this record:

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    Works referencing / citing this record:

    Super-Planckian axions from near-conformality
    journal, November 2019

    The effective supergravity of little string theory
    journal, February 2018

    Axions in a highly protected gauge symmetry model
    journal, January 2019

    Clockwork inflation with non-minimal coupling
    journal, June 2019

    The effective supergravity of little string theory
    text, January 2018

    Super-Planckian axions from near-conformality
    text, January 2019

    • Fonseca De Sa, Nayara; Von Harling, Benedict; De Lima, Leonardo
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-05059

    Axions in a highly protected gauge symmetry model
    text, January 2018

    Clockwork inflation with non-minimal coupling
    preprint, January 2018

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      Figures / Tables found in this record:

      Figure 1 (p. 27)figure
      Figure 2 (p. 27)figure
      Figure 3 (p. 30)figure
      Figure 4 (p. 36)figure
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