# 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:

- Publication Date:

- 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

### 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},

number = 5,

volume = 98,

place = {United States},

year = {2018},

month = {9}

}

DOI: 10.1103/PhysRevD.98.056025

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

_{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 referencing / citing this record:

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