Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors

Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver

doi:10.1103/PhysRevD.107.114508

Title: Gradient flow step-scaling function for SU(3) with $N_{f} = 8$ fundamental flavors

Journal Article · Wed Jun 14 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.107.114508· OSTI ID:1985203

; Rebbi, Claudio;

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 N_f= 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 N_f=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>.

View Journal Article

Cite

Export

Save

Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0010005; SC0015845; AC02-05CH11231; AC02-07CH11359; ACI-1532235; ACI-1532236; ACI- 1548562

OSTI ID:: 1985203

Alternate ID(s):: OSTI ID: 1906071

Report Number(s):: FERMILAB-PUB-22-785-V; SI-HEP-2022-31; arXiv:2210.16760; PRVDAQ; 114508

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 107 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (64)

The twelve-flavor β-function and dilaton tests of the sextet scalar Fodor, Zoltan; Holland, Kieran; Kuti, Julius EPJ Web of Conferences, Vol. 175 https://doi.org/10.1051/epjconf/201817508015	journal	January 2018
Hybrid Monte Carlo Duane, Simon; Kennedy, A. D.; Pendleton, Brian J. Physics Letters B, Vol. 195, Issue 2 https://doi.org/10.1016/0370-2693(87)91197-X	journal	September 1987
The lattice gradient flow at tree-level and its improvement Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)018	journal	September 2014
Conformality lost Kaplan, David B.; Lee, Jong-Wan; Son, Dam T. Physical Review D, Vol. 80, Issue 12 https://doi.org/10.1103/PhysRevD.80.125005	journal	December 2009
Determination of the continuous $\beta$ function of SU(3) Yang-Mills theory Peterson, Curtis; Hasenfratz, Anna; van Sickle, Jake Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0174	conference	May 2022
Phase structure of lattice QCD for general number of flavors Iwasaki, Y.; Kanaya, K.; Kaya, S. Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.014507	journal	January 2004
The running coupling of 8 flavors and 3 colors Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)019	journal	June 2015
Infrared zero of $β$ and value of $γ_{m}$ for an SU(3) gauge theory at the five-loop level Ryttov, Thomas A.; Shrock, Robert Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.105015	journal	November 2016
Extended investigation of the twelve-flavor β -function Fodor, Zoltán; Holland, Kieran; Kuti, Julius Physics Letters B, Vol. 779 https://doi.org/10.1016/j.physletb.2018.02.008	journal	April 2018
Emergent strongly coupled ultraviolet fixed point in four dimensions with eight Kähler-Dirac fermions Hasenfratz, Anna Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014513	journal	July 2022
Nonperturbative β function of eight-flavor SU(3) gauge theory Hasenfratz, Anna; Schaich, David; Veernala, Aarti Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)143	journal	June 2015
Taming lattice artifacts with Pauli-Villars fields Hasenfratz, Anna; Shamir, Yigal; Svetitsky, Benjamin Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.074509	journal	October 2021
Monte Carlo errors with less errors Wolff, Ulli Computer Physics Communications, Vol. 156, Issue 2 https://doi.org/10.1016/S0010-4655(03)00467-3	journal	January 2004
Mobility edge in lattice QCD Golterman, Maarten; Shamir, Yigal; Svetitsky, Benjamin Physical Review D, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevD.71.071502	journal	April 2005
Application of dilaton chiral perturbation theory to $N_{f} = 8$ , SU(3) spectral data Golterman, Maarten; Neil, Ethan T.; Shamir, Yigal Physical Review D, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevD.102.034515	journal	August 2020
Five-Loop Running of the QCD Coupling Constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.082002	journal	February 2017
XSEDE: Accelerating Scientific Discovery Towns, John; Cockerill, Timothy; Dahan, Maytal Computing in Science & Engineering, Vol. 16, Issue 5 https://doi.org/10.1109/MCSE.2014.80	journal	September 2014
Near-conformal dynamics in a chirally broken system Appelquist, Thomas; Brower, Richard C.; Cushman, Kimmy K. Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014504	journal	January 2021
Grid: A next generation data parallel C++ QCD library Boyle, Peter A.; Cossu, Guido; Yamaguchi, Azusa Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015) https://doi.org/10.22323/1.251.0023	conference	July 2016
Slow running of the gradient flow coupling from 200 MeV to 4 GeV in $N_{f} = 3$ QCD Dalla Brida, Mattia; Fritzsch, Patrick; Korzec, Tomasz Physical Review D, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevD.95.014507	journal	January 2017
Light flavor-singlet scalars and walking signals in $N_{f} = 8$ QCD on the lattice Aoki, Yasumichi; Aoyama, Tatsumi; Bennett, Ed Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014508	journal	July 2017
Symanzik improvement of the gradient flow in lattice gauge theories Ramos, Alberto; Sint, Stefan The European Physical Journal C, Vol. 76, Issue 1 https://doi.org/10.1140/epjc/s10052-015-3831-9	journal	January 2016
The perturbative QCD gradient flow to three loops Harlander, Robert V.; Neumann, Tobias Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)161	journal	June 2016
Infrared properties of a prototype model for beyond-Standard Model physics Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0226	conference	March 2017
How to reduce O(a^2) effects in gradient flow observables? Sint, Stefan; Ramos, Alberto Proceedings of The 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014) https://doi.org/10.22323/1.214.0329	conference	May 2015
Dislocations under gradient flow and their effect on the renormalized coupling Hasenfratz, Anna; Witzel, Oliver Physical Review D, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevD.103.034505	journal	February 2021
Analytic smearing of $SU (3)$ link variables in lattice QCD Morningstar, Colin; Peardon, Mike Physical Review D, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevD.69.054501	journal	March 2004
Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group Fodor, Zoltan; Holland, Kieran; Kuti, Julius Physical Review D, Vol. 94, Issue 9 https://doi.org/10.1103/PhysRevD.94.091501	journal	November 2016
On-shell improved lattice gauge theories Lüscher, M.; Weisz, P. Communications in Mathematical Physics, Vol. 97, Issue 1-2 https://doi.org/10.1007/BF01206178	journal	March 1985
More on the flavor dependence of mϱ/fπ Kotov, Andrey Yu.; Nogradi, Daniel; Szabo, Kalman K. Journal of High Energy Physics, Vol. 2021, Issue 7 https://doi.org/10.1007/JHEP07(2021)202	journal	July 2021
Walking, weak first-order transitions, and complex CFTs Gorbenko, Victor; Rychkov, Slava; Zan, Bernardo Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)108	journal	October 2018
Strongly interacting dynamics and the search for new physics at the LHC Appelquist, T.; Brower, R. C.; Fleming, G. T. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114514	journal	June 2016
Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory Appelquist, T.; Brower, R. C.; Fleming, G. T. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.114502	journal	December 2014
Walking signals in $N_{f} = 8$ QCD on the lattice Aoki, Yasumichi; Aoyama, Tatsumi; Kurachi, Masafumi Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094511	journal	May 2013
Gradient flow step-scaling function for SU(3) with twelve flavors Hasenfratz, A.; Rebbi, C.; Witzel, O. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114508	journal	December 2019
The Yang-Mills gradient flow in finite volume Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)007	journal	November 2012
Composite Higgs model at a conformal fixed point Brower, R. C.; Hasenfratz, A.; Rebbi, C. Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.075028	journal	April 2016
Writing Efficient QCD Code Made Simpler: qa0 Pochinsky, Andrew Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008) https://doi.org/10.22323/1.066.0040	conference	June 2009
Nonperturbative determination of β functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions Hasenfratz, A.; Rebbi, C.; Witzel, O. Physics Letters B, Vol. 798 https://doi.org/10.1016/j.physletb.2019.134937	journal	November 2019
The physics of eight flavours Deuzeman, Albert; Lombardo, Maria Paola; Pallante, Elisabetta Physics Letters B, Vol. 670, Issue 1 https://doi.org/10.1016/j.physletb.2008.10.039	journal	December 2008
Nearly Conformal Composite Higgs Model Appelquist, Thomas; Ingoldby, James; Piai, Maurizio Physical Review Letters, Vol. 126, Issue 19 https://doi.org/10.1103/PhysRevLett.126.191804	journal	May 2021
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
Gradient flow step-scaling function for SU(3) with Nf=6 or 4 fundamental flavors Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114509	journal	December 2022
Fate of a recent conformal fixed point and $\beta$-function in the SU(3) BSM gauge theory with ten massless flavors Fodor, Zoltan; Holland, Kieran; Kuti, Julius Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0199	conference	May 2019
Gradient flow step-scaling function for SU(3) with ten fundamental flavors Hasenfratz, A.; Rebbi, C.; Witzel, O. Physical Review D, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevD.101.114508	journal	June 2020
Computation of the action for on-shell improved lattice gauge theories at weak coupling Lüscher, M.; Weisz, P. Physics Letters B, Vol. 158, Issue 3 https://doi.org/10.1016/0370-2693(85)90966-9	journal	August 1985
Finite-Temperature Study of Eight-Flavor SU(3) Gauge Theory Schaich, David; Hasenfratz, Anna; Rinaldi, Enrico Sakata Memorial Workshop on Origin of Mass and Strong Coupling Gauge Theories, Origin of Mass and Strong Coupling Gauge Theories (SCGT15) https://doi.org/10.1142/9789813231467_0051	conference	February 2018
From ten-flavor tests of the $\beta$-function to $\alpha_s$ at the Z-pole Kuti, Julius; Fodor, Zoltan; Holland, Kieran Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0321	conference	May 2022
The Möbius domain wall fermion algorithm Brower, Richard C.; Neff, Harmut; Orginos, Kostas Computer Physics Communications, Vol. 220 https://doi.org/10.1016/j.cpc.2017.01.024	journal	November 2017
Continuous renormalization group $β$ function from lattice simulations Hasenfratz, Anna; Witzel, Oliver Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034514	journal	February 2020
Dilaton EFT framework for lattice data Appelquist, Thomas; Ingoldby, James; Piai, Maurizio Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)035	journal	July 2017
On-shell improved lattice gauge theories Lüscher, M.; Weisz, P. Communications in Mathematical Physics, Vol. 98, Issue 3 https://doi.org/10.1007/BF01205792	journal	September 1985
Lattice Study of the Conformal Window in QCD-like Theories Appelquist, Thomas; Fleming, George T.; Neil, Ethan T. Physical Review Letters, Vol. 100, Issue 17 https://doi.org/10.1103/PhysRevLett.100.171607	journal	April 2008
Anomalies and symmetric mass generation for Kähler-Dirac fermions Butt, Nouman; Catterall, Simon; Pradhan, Arnab Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094504	journal	November 2021
Large scale separation and hadronic resonances from a new strongly interacting sector Hasenfratz, A.; Rebbi, C.; Witzel, O. Physics Letters B, Vol. 773 https://doi.org/10.1016/j.physletb.2017.07.058	journal	October 2017
Critical slowing down and the gradient flow coupling in the Schroedinger functional Stollenwerk, Felix; Fritzsch, Patrick; Ramos, Alberto Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013) https://doi.org/10.22323/1.187.0461	conference	April 2014
Nearly conformal gauge theories in finite volume Fodor, Zoltan; Holland, Kieran; Kuti, Julius Physics Letters B, Vol. 681, Issue 4 https://doi.org/10.1016/j.physletb.2009.10.040	journal	November 2009
Strongly coupled gauge theories: What can lattice calculations teach us? Hasenfratz, A.; Brower, R. C.; Rebbi, C. International Journal of Modern Physics A, Vol. 32, Issue 35 https://doi.org/10.1142/S0217751X17470030	journal	December 2017
Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)071	journal	August 2010
Deploying RMACC Summit: An HPC Resource for the Rocky Mountain Region Anderson, Jonathon; Burns, Patrick J.; Milroy, Daniel Proceedings of the Practice and Experience in Advanced Research Computing 2017 on Sustainability, Success and Impact - PEARC17 https://doi.org/10.1145/3093338.3093379	conference	January 2017
The conformal window of deformed conformal field theories in the planar limit Vecchi, Luca Physical Review D, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevD.82.045013	journal	August 2010
Chiral lattice fermions from staggered fields Catterall, Simon Physical Review D, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevD.104.014503	journal	July 2021
Composite Higgs scenario in mass-split models Witzel, Oliver; Hasenfratz, Anna; Peterson, Curtis Proceedings of 40th International Conference on High Energy physics — PoS(ICHEP2020) https://doi.org/10.22323/1.390.0675	conference	January 2021
Dilaton potential and lattice data Appelquist, Thomas; Ingoldby, James; Piai, Maurizio Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.075025	journal	April 2020

Similar Records

Gradient flow step-scaling function for SU(3) with twelve flavors

Journal Article · Sun Dec 01 00:00:00 EST 2019 · Physical Review. D. · OSTI ID:1985203

Hasenfratz, A.; Rebbi, C.; Witzel, O.

Gradient flow step-scaling function for SU(3) with ten fundamental flavors

Journal Article · Tue Jun 23 00:00:00 EDT 2020 · Physical Review. D. · OSTI ID:1985203

Hasenfratz, A.; Rebbi, C.; Witzel, O.

Determination of the N$_f$=12 step scaling function using Möbius domain wall fermions

Journal Article · Wed May 29 00:00:00 EDT 2019 · PoS - Proceedings of Science · OSTI ID:1985203

Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
lattice field theory
lattice gauge theory

Title: Gradient flow step-scaling function for SU(3) with N f = 8 fundamental flavors

Citation Formats

References (64)

Similar Records

Related Subjects

Title: Gradient flow step-scaling function for SU(3) with $N_{f} = 8$ fundamental flavors