Large-mass regime of the dilaton-pion low-energy effective theory

Golterman, Maarten; Shamir, Yigal

doi:10.1103/PhysRevD.98.056025

Title: Large-mass regime of the dilaton-pion low-energy effective theory

Abstract

Numerical data of the SU(3) gauge theory with N_f = 8 fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the dilaton-pion low-energy theory is applicable thanks to the parametric proximity of the conformal window. In this regime, the leading hyperscaling relations are similar to those of a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects. Assuming that the N_f = 8 theory confines, we estimate how light the fermion mass should be to enter the small-mass regime, where the pions become much lighter than the dilatonic scalar meson.

Authors:: Golterman, Maarten; Shamir, Yigal

Publication Date:: Wed Sep 26 00:00:00 EDT 2018

Research Org.:: San Francisco State Univ., CA (United States)

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

OSTI Identifier:: 1473997

Alternate Identifier(s):: OSTI ID: 1498905

Grant/Contract Number:: FG03-92ER40711

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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                    Golterman, Maarten, and Shamir, Yigal. Large-mass regime of the dilaton-pion low-energy effective theory.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.056025.

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                    Golterman, Maarten, & Shamir, Yigal. Large-mass regime of the dilaton-pion low-energy effective theory.  United States.  https://doi.org/10.1103/PhysRevD.98.056025

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                    Golterman, Maarten, and Shamir, Yigal. Wed .  
"Large-mass regime of the dilaton-pion low-energy effective theory".  United States.  https://doi.org/10.1103/PhysRevD.98.056025.

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@article{osti_1473997,

  title        = {Large-mass regime of the dilaton-pion low-energy effective theory},

  author       = {Golterman, Maarten and Shamir, Yigal},

  abstractNote = {Numerical data of the SU(3) gauge theory with Nf = 8 fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the dilaton-pion low-energy theory is applicable thanks to the parametric proximity of the conformal window. In this regime, the leading hyperscaling relations are similar to those of a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects. Assuming that the Nf = 8 theory confines, we estimate how light the fermion mass should be to enter the small-mass regime, where the pions become much lighter than the dilatonic scalar meson.},

  doi          = {10.1103/PhysRevD.98.056025},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 98,

  place        = {United States},

  year         = {Wed Sep 26 00:00:00 EDT 2018},

  month        = {Wed Sep 26 00:00:00 EDT 2018}

}

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Cited by: 27 works

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Figures / Tables:

TABLE I: $v$($m$) as a function of m, using results for the nucleon mass from Ref. [10], and assuming $y$ = 2. The 5th column gives the value of $v$($m$₁) if the pair ($m$₁,$m$_$i$) is used to solve Eqs. (2.15) and (2.8). For $v$($m$₁) in the 4th column we tookmore »

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Works referenced in this record:

The twelve-flavor β-function and dilaton tests of the sextet scalar
journal, January 2018

Fodor, Zoltan; Holland, Kieran; Kuti, Julius
EPJ Web of Conferences, Vol. 175
DOI: 10.1051/epjconf/201817508015

Light flavor-singlet scalars and walking signals in $N_{f} = 8$ QCD on the lattice
journal, July 2017

Aoki, Yasumichi; Aoyama, Tatsumi; Bennett, Ed
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.014508

Infrared dynamics of minimal walking technicolor
journal, July 2010

Del Debbio, Luigi; Lucini, Biagio; Patella, Agostino
Physical Review D, Vol. 82, Issue 1
DOI: 10.1103/PhysRevD.82.014510

Some aspects of a unified approach to gauge, dual and Gribov theories
journal, December 1976

Veneziano, G.
Nuclear Physics B, Vol. 117, Issue 2
DOI: 10.1016/0550-3213(76)90412-0

A naturally light dilaton
journal, November 2013

Coradeschi, Francesco; Lodone, Paolo; Pappadopulo, Duccio
Journal of High Energy Physics, Vol. 2013, Issue 11
DOI: 10.1007/JHEP11(2013)057

Hyperscaling relations in mass-deformed conformal gauge theories
journal, July 2010

Del Debbio, Luigi; Zwicky, Roman
Physical Review D, Vol. 82, Issue 1
DOI: 10.1103/PhysRevD.82.014502

Looking behind the Standard Model with lattice gauge theory
journal, January 2018

Svetitsky, Benjamin
EPJ Web of Conferences, Vol. 175
DOI: 10.1051/epjconf/201817501017

U(1) without instantons
journal, November 1979

Veneziano, G.
Nuclear Physics B, Vol. 159, Issue 1-2
DOI: 10.1016/0550-3213(79)90332-8

Strongly interacting dynamics and the search for new physics at the LHC
journal, June 2016

Appelquist, T.; Brower, R. C.; Fleming, G. T.
Physical Review D, Vol. 93, Issue 11
DOI: 10.1103/PhysRevD.93.114514

Low-energy effective action for pions and a dilatonic meson
journal, September 2016

Golterman, Maarten; Shamir, Yigal
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.054502

Finite size scaling of conformal theories in the presence of a near-marginal operator
journal, July 2014

Cheng, Anqi; Hasenfratz, Anna; Liu, Yuzhi
Physical Review D, Vol. 90, Issue 1
DOI: 10.1103/PhysRevD.90.014509

Works referencing / citing this record:

Into the conformal window: Multirepresentation gauge theories
journal, March 2020

Kim, Byung Su; Hong, Deog Ki; Lee, Jong-Wan
Physical Review D, Vol. 101, Issue 5
DOI: 10.1103/physrevd.101.056008

$ε$ -regime of dilaton chiral perturbation theory
journal, December 2019

Brown, Taro V.; Golterman, Maarten; Krøjer, Svend
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/physrevd.100.114515

Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
journal, January 2019

Appelquist, T.; Brower, R. C.; Fleming, G. T.
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/physrevd.99.014509

Lattice gauge theory for physics beyond the Standard Model
journal, November 2019

Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T.
The European Physical Journal A, Vol. 55, Issue 11
DOI: 10.1140/epja/i2019-12901-5

Figures / Tables found in this record:

TABLE I (p. 6)

TABLE II (p. 6)

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Similar Records

Title: Large-mass regime of the dilaton-pion low-energy effective theory

Abstract

Citation Formats

Figures / Tables:

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