IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Craig, Nathaniel; Koren, Seth

doi:10.1007/jhep03(2020)037

Title: IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

Abstract

The persistence of the hierarchy problem points to a violation of effective field theory expectations. A compelling possibility is that this results from a physical breakdown of EFT, which may arise from correlations between ultraviolet (UV) and infrared (IR) physics. To this end, we study noncommutative field theory (NCFT) as a toy model of UV/IR mixing which generates an emergent infrared scale from ultraviolet dynamics. We explore the range of such theories where ultraviolet divergences are transmogrified into infrared scales, focusing particularly on the properties of Yukawa theory, where we identify a new infrared pole accessible in the s-channel of the Lorentzian theory. We further investigate the interplay between UV-finiteness and UV/IR mixing by studying properties of the softly-broken noncommutative Wess-Zumino model as soft terms are varied relative to the cutoff. While the Lorentz violation inherent to noncommutative theories may limit their direct application to the hierarchy problem, these toy models provide general lessons to guide the realization of UV/IR mixing in more realistic theories.

Authors:

Craig, Nathaniel ^[1];

^[1]

University of California, Santa Barbara, CA (United States)

Publication Date:: Fri Mar 06 00:00:00 EST 2020

Research Org.:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1673185

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: 2020; Journal Issue: 3; 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; Non-Commutative Geometry; Nonperturbative Effects; Space-Time Symmetries

Citation Formats


                    Craig, Nathaniel, and Koren, Seth. IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep03(2020)037.

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                    Craig, Nathaniel, & Koren, Seth. IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem.  United States.  https://doi.org/10.1007/jhep03(2020)037

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                    Craig, Nathaniel, and Koren, Seth. Fri .  
"IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem".  United States.  https://doi.org/10.1007/jhep03(2020)037.  https://www.osti.gov/servlets/purl/1673185.

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@article{osti_1673185,

  title        = {IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem},

  author       = {Craig, Nathaniel and Koren, Seth},

  abstractNote = {The persistence of the hierarchy problem points to a violation of effective field theory expectations. A compelling possibility is that this results from a physical breakdown of EFT, which may arise from correlations between ultraviolet (UV) and infrared (IR) physics. To this end, we study noncommutative field theory (NCFT) as a toy model of UV/IR mixing which generates an emergent infrared scale from ultraviolet dynamics. We explore the range of such theories where ultraviolet divergences are transmogrified into infrared scales, focusing particularly on the properties of Yukawa theory, where we identify a new infrared pole accessible in the s-channel of the Lorentzian theory. We further investigate the interplay between UV-finiteness and UV/IR mixing by studying properties of the softly-broken noncommutative Wess-Zumino model as soft terms are varied relative to the cutoff. While the Lorentz violation inherent to noncommutative theories may limit their direct application to the hierarchy problem, these toy models provide general lessons to guide the realization of UV/IR mixing in more realistic theories.},

  doi          = {10.1007/jhep03(2020)037},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {Fri Mar 06 00:00:00 EST 2020},

  month        = {Fri Mar 06 00:00:00 EST 2020}

}

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Figure 1: Representative leading nonplanar corrections to the self-energies in the noncommutative Yukawa theory of [107]. Fermion lines have arrows and dashing denotes nonintersection.

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Title: IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem

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