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Title: Nonperturbative β function of eight-flavor SU(3) gauge theory

Abstract

We present a new lattice study of the discrete β function for SU(3) gauge theory with N f = 8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared staggered lattice actions, we calculate the 8-flavor step-scaling function at significantly stronger couplings than were previously accessible. Our continuum-extrapolated results for the discrete β function show no sign of an IR fixed point up to couplings of g 2 ≈ 14. At the same time, we find that the gradient flow coupling runs much more slowly than predicted by two-loop perturbation theory, reinforcing previous indications that the 8-flavor system possesses nontrivial strongly coupled IR dynamics with relevance to BSM phenomenology.

Authors:
 [1];  [2];  [2]
  1. Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
  2. Syracuse Univ., NY (United States). Dept. of Physics
Publication Date:
Research Org.:
Syracuse Univ., NY (United States); Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1455124
Grant/Contract Number:  
SC0008669; SC0009998; SC0010005; CNS-0821794
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: 2015; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice gauge field theories; renormalization group; technicolor and composite models

Citation Formats

Hasenfratz, Anna, Schaich, David, and Veernala, Aarti. Nonperturbative β function of eight-flavor SU(3) gauge theory. United States: N. p., 2015. Web. doi:10.1007/JHEP06(2015)143.
Hasenfratz, Anna, Schaich, David, & Veernala, Aarti. Nonperturbative β function of eight-flavor SU(3) gauge theory. United States. doi:10.1007/JHEP06(2015)143.
Hasenfratz, Anna, Schaich, David, and Veernala, Aarti. Mon . "Nonperturbative β function of eight-flavor SU(3) gauge theory". United States. doi:10.1007/JHEP06(2015)143. https://www.osti.gov/servlets/purl/1455124.
@article{osti_1455124,
title = {Nonperturbative β function of eight-flavor SU(3) gauge theory},
author = {Hasenfratz, Anna and Schaich, David and Veernala, Aarti},
abstractNote = {We present a new lattice study of the discrete β function for SU(3) gauge theory with N f = 8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared staggered lattice actions, we calculate the 8-flavor step-scaling function at significantly stronger couplings than were previously accessible. Our continuum-extrapolated results for the discrete β function show no sign of an IR fixed point up to couplings of g 2 ≈ 14. At the same time, we find that the gradient flow coupling runs much more slowly than predicted by two-loop perturbation theory, reinforcing previous indications that the 8-flavor system possesses nontrivial strongly coupled IR dynamics with relevance to BSM phenomenology.},
doi = {10.1007/JHEP06(2015)143},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2015,
place = {United States},
year = {2015},
month = {6}
}

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Cited by: 18 works
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