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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:
 [1];  [2]
  1. San Francisco State Univ., CA (United States); Universitat Autònoma de Barcelona (Spain)
  2. Tel Aviv Univ., Ramat Aviv (Israel)
Publication Date:
Research Org.:
San Francisco State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1473997
Alternate Identifier(s):
OSTI ID: 1498905
Grant/Contract Number:  
FG03-92ER40711
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

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.
Golterman, Maarten, & Shamir, Yigal. Large-mass regime of the dilaton-pion low-energy effective theory. United States. doi:10.1103/physrevd.98.056025.
Golterman, Maarten, and Shamir, Yigal. Wed . "Large-mass regime of the dilaton-pion low-energy effective theory". United States. doi:10.1103/physrevd.98.056025.
@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},
issn = {2470-0010},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/physrevd.98.056025

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

TABLE I 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$1) in the 4th column we tookmore » the average of the values obtained from the pairs ($m$1,$m$2), ($m$1,$m$3), and ($m$1,$m$4). Except for the second column, we keep only two significant digits. Statistical errors have been suppressed.« less

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Figures / Tables found in this record:

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