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

Journal Article · Wed Sep 26 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.056025· OSTI ID:1473997

Golterman, Maarten; Shamir, Yigal

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.

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

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

Grant/Contract Number:: FG03-92ER40711

OSTI ID:: 1473997

Alternate ID(s):: OSTI ID: 1498905

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 27 works

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Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors Appelquist, T.; Brower, R. C.; Fleming, G. T. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/physrevd.99.014509	journal	January 2019
Lattice gauge theory for physics beyond the Standard Model Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12901-5	journal	November 2019