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

Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver

doi:10.22323/1.334.0306

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

Abstract

We calculate the renormalized step scaling function for twelve fundamental flavors nonperturbatively by determining the gradient flow coupling on gauge field configurations generated with dynamical stout-smeared M\"obius domain wall fermions and Symanzik gauge action. Using Zeuthen, Symanzik, and Wilson flow we measure the energy density with three different operators. Our updated analysis is based on up to five volume pairs ranging from L⁴=8⁴ up to 32⁴. Predictions for the infinite volume extrapolated step scaling function based on different flows and operators are mutually consistent. Our new results confirm the previously observed significant discrepancy with staggered fermion simulations in a wide range of the renormalized coupling.

Authors:

Hasenfratz, Anna ^[1]; Rebbi, Claudio ^[2]; Witzel, Oliver ^[1]

Univ. of Colorado, Boulder, CO (United States)
Boston Univ., MA (United States)

Publication Date:: Wed May 29 00:00:00 EDT 2019

Research Org.:: Univ. of Colorado, Boulder, CO (United States); Boston Univ., MA (United States)

Sponsoring Org.:: US Atomic Energy Commission (AEC); USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:: 1607682

Grant/Contract Number:: SC0010005; ACI-1532235; ACI-1532236; TG-PHY180005; SC0015845

Resource Type:: Accepted Manuscript

Journal Name:: PoS - Proceedings of Science

Additional Journal Information:: Journal Volume: 334; Conference: 36. Annual International Symposium on Lattice Field Theory (LATTICE2018), East Lansing, MI (United States), 22-28 Jul 2018; Journal ID: ISSN 1824-8039

Publisher:: SISSA

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice field theory

Citation Formats


                    Hasenfratz, Anna, Rebbi, Claudio, and Witzel, Oliver. Determination of the N$_f$=12 step scaling function using Möbius domain wall fermions.  United States: N. p., 2019. 
Web.  doi:10.22323/1.334.0306.

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                    Hasenfratz, Anna, Rebbi, Claudio, & Witzel, Oliver. Determination of the N$_f$=12 step scaling function using Möbius domain wall fermions.  United States.  https://doi.org/10.22323/1.334.0306

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                    Hasenfratz, Anna, Rebbi, Claudio, and Witzel, Oliver. Wed .  
"Determination of the N$_f$=12 step scaling function using Möbius domain wall fermions".  United States.  https://doi.org/10.22323/1.334.0306.  https://www.osti.gov/servlets/purl/1607682.

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@article{osti_1607682,

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

  author       = {Hasenfratz, Anna and Rebbi, Claudio and Witzel, Oliver},

  abstractNote = {We calculate the renormalized step scaling function for twelve fundamental flavors nonperturbatively by determining the gradient flow coupling on gauge field configurations generated with dynamical stout-smeared M\"obius domain wall fermions and Symanzik gauge action. Using Zeuthen, Symanzik, and Wilson flow we measure the energy density with three different operators. Our updated analysis is based on up to five volume pairs ranging from L4=84 up to 324. Predictions for the infinite volume extrapolated step scaling function based on different flows and operators are mutually consistent. Our new results confirm the previously observed significant discrepancy with staggered fermion simulations in a wide range of the renormalized coupling.},

  doi          = {10.22323/1.334.0306},

  journal      = {PoS - Proceedings of Science},

  number       = ,

  volume       = 334,

  place        = {United States},

  year         = {Wed May 29 00:00:00 EDT 2019},

  month        = {Wed May 29 00:00:00 EDT 2019}

}

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Works referencing / citing this record:

Anomalous dimensions of potential top-partners
journal, January 2019

Buarque Franzosi, Diogo; Ferretti, Gabriele
SciPost Physics, Vol. 7, Issue 3
DOI: 10.21468/scipostphys.7.3.027

Anomalous dimensions of potential top-partners
text, January 2019

Franzosi, Diogo Buarque; Ferretti, Gabriele
arXiv
DOI: 10.48550/arxiv.1905.08273

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

Abstract

Citation Formats

Anomalous dimensions of potential top-partners journal, January 2019

Anomalous dimensions of potential top-partners text, January 2019

Anomalous dimensions of potential top-partners
journal, January 2019

Anomalous dimensions of potential top-partners
text, January 2019