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Title: Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors

Abstract

We present our lattice studies of SU(3) gauge theory with N f = 8 degenerate fermions in the fundamental representation. Using nHYP-smeared staggered fermions we study finite-temperature transitions on lattice volumes as large as L 3 × N t = 48 3 × 24, and the zero-temperature composite spectrum on lattice volumes up to 64 3 × 128. The spectrum indirectly indicates spontaneous chiral symmetry breaking, but finite-temperature transitions with fixed N t ≤ 24 enter a strongly coupled lattice phase as the fermion mass decreases, which prevents a direct confirmation of spontaneous chiral symmetry breaking in the chiral limit. In addition to the connected spectrum we focus on the lightest flavor-singlet scalar particle. We find it to be degenerate with the pseudo-Goldstone states down to the lightest masses reached so far by nonperturbative lattice calculations. Using the same lattice approach, we study the behavior of the composite spectrum when the number of light fermions is changed from eight to four. A heavy flavor-singlet scalar in the 4-flavor theory affirms the contrast between QCD-like dynamics and the low-energy behavior of the 8-flavor theory.

Authors:
; ; ; ; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Argonne National Lab. (ANL), Argonne, IL (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN; USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Lattice Strong Dynamics (LSD) Collaboration
OSTI Identifier:
1490918
Alternate Identifier(s):
OSTI ID: 1491700; OSTI ID: 1497980; OSTI ID: 1504260; OSTI ID: 1550906; OSTI ID: 1607689
Report Number(s):
BNL-210887-2019-JAAM; LLNL-JRNL-753511
Journal ID: ISSN 2470-0010; PRVDAQ; 014509
Grant/Contract Number:  
SC0008669; SC0009998; SC0010005; SC0012704; SC0015845; AC52-07NA27344; SC0014664; AC02-06CH11357; TG-PHY1200; 1066293; PHY-1748958; OCI-0749300; PHY-1417402; SC001466; AC02-05CH11231
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 1; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics - Physics of elementary particles and fields; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Composite models; Non-Abelian gauge theories; lattice field theory

Citation Formats

Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.014509.
Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., & Lattice Strong Dynamics. Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors. United States. doi:10.1103/PhysRevD.99.014509.
Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Tue . "Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors". United States. doi:10.1103/PhysRevD.99.014509.
@article{osti_1490918,
title = {Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors},
author = {Appelquist, T. and Brower, R. C. and Fleming, G. T. and Gasbarro, A. and Hasenfratz, A. and Jin, X. Y. and Neil, E. T. and Osborn, J. C. and Rebbi, C. and Rinaldi, E. and Schaich, D. and Vranas, P. and Weinberg, E. and Witzel, O. and Lattice Strong Dynamics},
abstractNote = {We present our lattice studies of SU(3) gauge theory with Nf = 8 degenerate fermions in the fundamental representation. Using nHYP-smeared staggered fermions we study finite-temperature transitions on lattice volumes as large as L3 × Nt = 483 × 24, and the zero-temperature composite spectrum on lattice volumes up to 643 × 128. The spectrum indirectly indicates spontaneous chiral symmetry breaking, but finite-temperature transitions with fixed Nt ≤ 24 enter a strongly coupled lattice phase as the fermion mass decreases, which prevents a direct confirmation of spontaneous chiral symmetry breaking in the chiral limit. In addition to the connected spectrum we focus on the lightest flavor-singlet scalar particle. We find it to be degenerate with the pseudo-Goldstone states down to the lightest masses reached so far by nonperturbative lattice calculations. Using the same lattice approach, we study the behavior of the composite spectrum when the number of light fermions is changed from eight to four. A heavy flavor-singlet scalar in the 4-flavor theory affirms the contrast between QCD-like dynamics and the low-energy behavior of the 8-flavor theory.},
doi = {10.1103/PhysRevD.99.014509},
journal = {Physical Review D},
issn = {2470-0010},
number = 1,
volume = 99,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.99.014509

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Cited by: 8 works
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