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Title: Exponential Hierarchies from Anderson Localization in Theory Space

Abstract

We present a new mechanism for generating exponential hierarchies in four-dimensional field theories inspired by Anderson localization in one dimension, exploiting an analogy between the localization of electron energy eigenstates along a one-dimensional disordered wire and the localization of mass eigenstates along a local “theory space” with random mass parameters. Mass eigenstates are localized even at arbitrarily weak disorder, with exponentially suppressed couplings to sites in the theory space. The mechanism is quite general and may be used to exponentially localize fields of any spin. We apply the localization mechanism to two hierarchies in standard model parameters—the smallness of neutrino masses and the ordering of quark masses—and comment on the possible relevance to the electroweak hierarchy problem. This raises the compelling possibility that some of the large hierarchies observed in and beyond the standard model may result from disorder, rather than order.

Authors:
;
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:
1439498
Alternate Identifier(s):
OSTI ID: 1498971
Grant/Contract Number:  
SC0014129; SC0011702
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 22; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Craig, Nathaniel, and Sutherland, Dave. Exponential Hierarchies from Anderson Localization in Theory Space. United States: N. p., 2018. Web. https://doi.org/10.1103/PhysRevLett.120.221802.
Craig, Nathaniel, & Sutherland, Dave. Exponential Hierarchies from Anderson Localization in Theory Space. United States. https://doi.org/10.1103/PhysRevLett.120.221802
Craig, Nathaniel, and Sutherland, Dave. Wed . "Exponential Hierarchies from Anderson Localization in Theory Space". United States. https://doi.org/10.1103/PhysRevLett.120.221802.
@article{osti_1439498,
title = {Exponential Hierarchies from Anderson Localization in Theory Space},
author = {Craig, Nathaniel and Sutherland, Dave},
abstractNote = {We present a new mechanism for generating exponential hierarchies in four-dimensional field theories inspired by Anderson localization in one dimension, exploiting an analogy between the localization of electron energy eigenstates along a one-dimensional disordered wire and the localization of mass eigenstates along a local “theory space” with random mass parameters. Mass eigenstates are localized even at arbitrarily weak disorder, with exponentially suppressed couplings to sites in the theory space. The mechanism is quite general and may be used to exponentially localize fields of any spin. We apply the localization mechanism to two hierarchies in standard model parameters—the smallness of neutrino masses and the ordering of quark masses—and comment on the possible relevance to the electroweak hierarchy problem. This raises the compelling possibility that some of the large hierarchies observed in and beyond the standard model may result from disorder, rather than order.},
doi = {10.1103/PhysRevLett.120.221802},
journal = {Physical Review Letters},
number = 22,
volume = 120,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.120.221802

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1. : The masses and smallest end-site overlaps of the light eigenmodes of Eq. (1) when $N$ = 35 and $t$ = 1. Shaded regions show typical values over an ensemble of matrices with given $W$, whereas points show masses and overlaps for a specific instance thereof. For comparison,more » black crosses show the masses and couplings of an $N$ = 35 “clockwork” Lagrangian.« less

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Works referenced in this record:

Implications of dynamical symmetry breaking
journal, February 1976


Large field excursions and approximate discrete symmetries from a clockwork axion
journal, April 2016


Anomalous localization in low-dimensional systems with correlated disorder
journal, March 2012


From wires to cosmology
journal, February 2016


A clockwork theory
journal, February 2017

  • Giudice, Gian F.; McCullough, Matthew
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)036

Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory
journal, November 1979


A tool kit for builders of composite models
journal, March 1986


A clockwork WIMP
journal, July 2017

  • Hambye, Thomas; Teresi, Daniele; Tytgat, Michel H. G.
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)047

On Partial Compositeness and the CP asymmetry in charm decays
journal, February 2013


(De)Constructing Dimensions
journal, May 2001


Electroweak symmetry breaking from dimensional deconstruction
journal, July 2001


Disorder in the early universe
journal, March 2015


Absence of Diffusion in Certain Random Lattices
journal, March 1958


Extended states in a one-demensional system with off-diagonal disorder
journal, May 1976


Running of Gauge Couplings in AdS 5 via Deconstruction
journal, August 2002


Localization in One-Dimensional Disordered Systems
journal, July 1971


The Cosmological Constants
journal, February 1937


Natural inflation with multiple sub-Planckian axions
journal, July 2014


Effective field theory for massive gravitons and gravity in theory space
journal, June 2003


Gauge invariant effective Lagrangian for Kaluza-Klein modes
journal, October 2001


Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry
journal, January 2016


Implications of dynamical symmetry breaking: An addendum
journal, February 1979


Deconstruction and gauge theories in AdS 5
journal, January 2003


A New Basis for Cosmology
journal, April 1938

  • Dirac, P. A. M.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 165, Issue 921
  • DOI: 10.1098/rspa.1938.0053

Neutrino masses and mixings in non-factorizable geometry
journal, February 2000


Flavor at ssc energies: A new mechanism for dynamically generated fermion masses
journal, November 1991


Field localization in warped gauge theories
journal, February 2003


Bulk fields and supersymmetry in a slice of AdS
journal, October 2000


Gravitational Anderson Localization
journal, January 2013


Gravitational Anderson Localization
text, January 2012


    Works referencing / citing this record:

    Disorder and mimesis at hadron colliders
    journal, August 2019

    • D’Agnolo, Raffaele Tito; Low, Matthew
    • Journal of High Energy Physics, Vol. 2019, Issue 8
    • DOI: 10.1007/jhep08(2019)163

    Clockwork neutrinos
    journal, October 2019

    • Hong, Sungwoo; Kurup, Gowri; Perelstein, Maxim
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)073

    Superheavy Thermal Dark Matter
    journal, November 2019


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