Conformal finite size scaling of twelve fermion flavors

Zoltán Fodor; Kieran Holland; Julius Kuti; Dániel Nógrádi; Chris Schroeder; Chik Him Wong

doi:10.22323/1.164.0279

Conformal finite size scaling of twelve fermion flavors

Zoltán Fodor
, Kieran Holland
, Julius Kuti
, Dániel Nógrádi
, Chris Schroeder
, Chik Him Wong

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Two independent conformal FSS fitting procedures are used in the analysis. The first one deploys physics motivated scaling functions, complemented by a second fitting procedure with spline based general B-forms for the scaling functions. The results at fixed gauge coupling show unresolved problems with the conformal hypothesis.

Original language	English (US)
Article number	237
Journal	Proceedings of Science
Volume	Part F130497
DOIs	https://doi.org/10.22323/1.164.0279
State	Published - 2012
Event	30th International Symposium on Lattice Field Theory, Lattice 2012 - Cairns, Australia Duration: Jun 24 2012 → Jun 29 2012

All Science Journal Classification (ASJC) codes

General

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10.22323/1.164.0279

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@article{428d111f50da414f99a38522ef34762c,

title = "Conformal finite size scaling of twelve fermion flavors",

abstract = "Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Two independent conformal FSS fitting procedures are used in the analysis. The first one deploys physics motivated scaling functions, complemented by a second fitting procedure with spline based general B-forms for the scaling functions. The results at fixed gauge coupling show unresolved problems with the conformal hypothesis.",

author = "Zolt{\'a}n Fodor and Kieran Holland and Julius Kuti and D{\'a}niel N{\'o}gr{\'a}di and Chris Schroeder and Wong, \{Chik Him\}",

note = "Funding Information: We acknowledge support by the DOE under grant DE-FG02-90ER40546, by the NSF under grants 0704171 and 0970137, by the EU Framework Programme 7 grant (FP7/2007-2013)/ERC No 208740, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Computational resources were provided by USQCD at Fermilab and JLab, by the NSF XSEDE program, and by the University of Wuppertal. KH wishes to thank the Institute for Theoretical Physics and the Albert Einstein Center for Fundamental Physics at Bern University for their support. KH and JK wish to thank the Galileo Galilei Institute for Theoretical Physics and INFN for their hospitality and support at the workshop {"}New Frontiers in Lattice Gauge Theories{"}.; 30th International Symposium on Lattice Field Theory, Lattice 2012 ; Conference date: 24-06-2012 Through 29-06-2012",

year = "2012",

doi = "10.22323/1.164.0279",

language = "English (US)",

volume = "Part F130497",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Conformal finite size scaling of twelve fermion flavors

AU - Fodor, Zoltán

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

AU - Wong, Chik Him

N1 - Funding Information: We acknowledge support by the DOE under grant DE-FG02-90ER40546, by the NSF under grants 0704171 and 0970137, by the EU Framework Programme 7 grant (FP7/2007-2013)/ERC No 208740, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Computational resources were provided by USQCD at Fermilab and JLab, by the NSF XSEDE program, and by the University of Wuppertal. KH wishes to thank the Institute for Theoretical Physics and the Albert Einstein Center for Fundamental Physics at Bern University for their support. KH and JK wish to thank the Galileo Galilei Institute for Theoretical Physics and INFN for their hospitality and support at the workshop "New Frontiers in Lattice Gauge Theories".

PY - 2012

Y1 - 2012

N2 - Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Two independent conformal FSS fitting procedures are used in the analysis. The first one deploys physics motivated scaling functions, complemented by a second fitting procedure with spline based general B-forms for the scaling functions. The results at fixed gauge coupling show unresolved problems with the conformal hypothesis.

AB - Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Two independent conformal FSS fitting procedures are used in the analysis. The first one deploys physics motivated scaling functions, complemented by a second fitting procedure with spline based general B-forms for the scaling functions. The results at fixed gauge coupling show unresolved problems with the conformal hypothesis.

UR - https://www.scopus.com/pages/publications/85030127168

UR - https://www.scopus.com/pages/publications/85030127168#tab=citedBy

U2 - 10.22323/1.164.0279

DO - 10.22323/1.164.0279

M3 - Conference article

AN - SCOPUS:85030127168

SN - 1824-8039

VL - Part F130497

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 237

T2 - 30th International Symposium on Lattice Field Theory, Lattice 2012

Y2 - 24 June 2012 through 29 June 2012

ER -

Conformal finite size scaling of twelve fermion flavors

Abstract

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