skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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:
 [1]; ORCiD logo [1]
  1. University 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:
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. https://doi.org/10.1007/jhep03(2020)037.
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
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.
@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 = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 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.

Save / Share:

Works referenced in this record:

Particle creation by black holes
journal, August 1975

  • Hawking, S. W.
  • Communications In Mathematical Physics, Vol. 43, Issue 3
  • DOI: 10.1007/BF02345020

Gravitational observables and local symmetries
journal, September 1993


Non-supersymmetric AdS and the swampland
journal, January 2017


Quantized Space-Time
journal, January 1947


Dielectric-branes
journal, December 1999


Instantons and emergent geometry
journal, November 2009


Emergent gravity, matrix models and UV/IR mixing
journal, April 2008

  • Grosse, Harald; Steinacker, Harold; Wohlgenannt, Michael
  • Journal of High Energy Physics, Vol. 2008, Issue 04
  • DOI: 10.1088/1126-6708/2008/04/023

Fermions and emergent noncommutative gravity
journal, August 2008


Noncommutative field theory
journal, November 2001


On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes
journal, January 2004

  • Amelino-Camelia, Giovanni; Mandanici, Gianluca; Yoshida, Kensuke
  • Journal of High Energy Physics, Vol. 2004, Issue 01
  • DOI: 10.1088/1126-6708/2004/01/037

Nonlocal and quasilocal field theories
journal, December 2015


On the unitarity of quantum gauge theories on non-commutative spaces
journal, July 2001


On theories with light-like noncommutativity
journal, September 2000


Strings in background electric field, space/time noncommutativity and a new noncritical string theory
journal, May 2000


Space/time non-commutativity and causality
journal, May 2000


On the stringy nature of winding modes in noncommutative thermal field theories
journal, May 2000


Noncommutative gauge theory, divergences and closed strings
journal, March 2000


Comments on noncommutative perturbative dynamics
journal, March 2000


Closed strings tachyons and non-commutative instabilities
journal, February 2003


From UV/IR mixing to closed strings
journal, September 2003


On the unitarity problem in space/time noncommutative theories
journal, May 2002


Time-ordered perturbation theory on non-commutative spacetime II: Unitarity
journal, October 2002


Nonlocal quantum field theory without acausality and nonunitarity at quantum level: Is SUSY the key?
journal, May 2015

  • Addazi, Andrea; Esposito, Giampiero
  • International Journal of Modern Physics A, Vol. 30, Issue 15
  • DOI: 10.1142/S0217751X15501031

A Translation-Invariant Renormalizable Non-Commutative Scalar Model
journal, October 2008

  • Gurau, R.; Magnen, J.; Rivasseau, V.
  • Communications in Mathematical Physics, Vol. 287, Issue 1
  • DOI: 10.1007/s00220-008-0658-3

Non-commutative standard model: model building
journal, July 2003

  • Chaichian, M.; Presnajder, P.; Sheikh-Jabbari, M. M.
  • The European Physical Journal C, Vol. 29, Issue 3
  • DOI: 10.1140/epjc/s2003-01204-7

Noncommutative gauge field theories: a no-go theorem
journal, January 2002


Spontaneous reduction of noncommutative gauge symmetry and model building
journal, April 2006


Circumventing the no-go theorem in noncommutative gauge field theory
journal, March 2008


On a Lorentz-invariant interpretation of noncommutative space–time and its implications on noncommutative QFT
journal, December 2004


The IR/UV connection in the non-commutative gauge theories
journal, December 2000


Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
journal, February 2017


One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
journal, August 2015


Spin-statistics and CPT theorems in noncommutative field theory
journal, August 2003


C , P , and T Invariance of Noncommutative Gauge Theories
journal, June 2000


A consistent noncommutative field theory: the Wess–Zumino model
journal, October 2000


4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998


A review of the generalized uncertainty principle
journal, October 2015


Minimum physical length and the generalized uncertainty principle in string theory
journal, January 1990


Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
journal, June 2011


Translation invariance, commutation relations and ultraviolet/infrared mixing
journal, September 2009


The quantum structure of spacetime at the Planck scale and quantum fields
journal, August 1995

  • Doplicher, Sergio; Fredenhagen, Klaus; Roberts, John E.
  • Communications in Mathematical Physics, Vol. 172, Issue 1
  • DOI: 10.1007/BF02104515

Lorentz-Invariant Non-Commutative Space-Time Based on DFR Algebra
journal, April 2003

  • Kase, H.; Morita, K.; Okumura, Y.
  • Progress of Theoretical Physics, Vol. 109, Issue 4
  • DOI: 10.1143/PTP.109.663

A Poincaré covariant noncommutative spacetime
journal, August 2018

  • Much, Albert; David Vergara, J.
  • International Journal of Geometric Methods in Modern Physics, Vol. 15, Issue 09
  • DOI: 10.1142/S0219887818501591

    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.