Gradient flow step-scaling function for SU(3) with fundamental flavors
Abstract
The step-scaling function, the discrete analog of the renormalization group β function, is presented for the SU(3) gauge system with eight flavors in the fundamental representation. Our investigation is based on generating dynamical eight-flavor gauge field configurations using stout-smeared Möbius domain wall fermions and Symanzik gauge action. On these gauge field configurations we perform gradient flow measurements using the Zeuthen, Wilson, or Symanzik kernel and consider the Symanzik, Wilson plaquette, or clover operators to determine step-scaling functions for a scale change s = 2 including large, up to 484, volumes. Considering different flows and operators as well as the optional use of tree-level improvement allows us to check for possible systematic effects. Our result covers the range of renormalized coupling up to $$g^2_c$$ ≲ 10. In the case of Nf= 8 we observe that the reach in $$g^2_c$$ is limited due to an unphysical first-order bulk phase transition presumably caused by large ultraviolet fluctuations. We compare our findings to Nf =4, 6, 10 or 12 flavors results that are obtained using the same lattice action and analysis. In addition we investigate the phase structure for simulations with different number of flavors using stout-smeared Möbius domain wall fermions and Symanzik gauge actions to shed some light on the limited reach in $$g^2_c$$ is>.
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1985203
- Alternate Identifier(s):
- OSTI ID: 1906071
- Report Number(s):
- FERMILAB-PUB-22-785-V; SI-HEP-2022-31; arXiv:2210.16760
Journal ID: ISSN 2470-0010; PRVDAQ; 114508
- Grant/Contract Number:
- SC0010005; SC0015845; AC02-05CH11231; AC02-07CH11359; ACI-1532235; ACI-1532236; ACI- 1548562
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 107 Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice field theory; lattice gauge theory
Citation Formats
Hasenfratz, Anna, Rebbi, Claudio, and Witzel, Oliver. Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors. United States: N. p., 2023.
Web. doi:10.1103/PhysRevD.107.114508.
Hasenfratz, Anna, Rebbi, Claudio, & Witzel, Oliver. Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors. United States. https://doi.org/10.1103/PhysRevD.107.114508
Hasenfratz, Anna, Rebbi, Claudio, and Witzel, Oliver. Wed .
"Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors". United States. https://doi.org/10.1103/PhysRevD.107.114508.
@article{osti_1985203,
title = {Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors},
author = {Hasenfratz, Anna and Rebbi, Claudio and Witzel, Oliver},
abstractNote = {The step-scaling function, the discrete analog of the renormalization group β function, is presented for the SU(3) gauge system with eight flavors in the fundamental representation. Our investigation is based on generating dynamical eight-flavor gauge field configurations using stout-smeared Möbius domain wall fermions and Symanzik gauge action. On these gauge field configurations we perform gradient flow measurements using the Zeuthen, Wilson, or Symanzik kernel and consider the Symanzik, Wilson plaquette, or clover operators to determine step-scaling functions for a scale change s = 2 including large, up to 484, volumes. Considering different flows and operators as well as the optional use of tree-level improvement allows us to check for possible systematic effects. Our result covers the range of renormalized coupling up to $g^2_c$ ≲ 10. In the case of Nf= 8 we observe that the reach in $g^2_c$ is limited due to an unphysical first-order bulk phase transition presumably caused by large ultraviolet fluctuations. We compare our findings to Nf =4, 6, 10 or 12 flavors results that are obtained using the same lattice action and analysis. In addition we investigate the phase structure for simulations with different number of flavors using stout-smeared Möbius domain wall fermions and Symanzik gauge actions to shed some light on the limited reach in $g^2_c$ is>.},
doi = {10.1103/PhysRevD.107.114508},
journal = {Physical Review. D.},
number = 11,
volume = 107,
place = {United States},
year = {Wed Jun 14 00:00:00 EDT 2023},
month = {Wed Jun 14 00:00:00 EDT 2023}
}
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