TY - JOUR

T1 - Dilaton EFT from p-regime to RMT in the ε-regime

AU - Fodor, Zoltan

AU - Holland, Kieran

AU - Kuti, Julius

AU - Wong, Chik Him

N1 - Funding Information:
Acknowledgments: Julius Kuti is grateful to James Osborn for extended discussions on the RMT implementation of taste symmetry breaking and for comparisons of computer code output of the related quenched RMT simulations. JK also thanks John McGreevy and Maarten Golterman for discussions. We acknowledge support by the DOE under grant DE-SC0009919, by the NSF under grant 1620845, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Computational resources were provided by the DOE INCITE program on the ALCF BG/Q platform, by USQCD on gpu platform at Fermilab and BNL, by the University of Wuppertal, and by the Juelich Supercomputing Center.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2019

Y1 - 2019

N2 - New results are reported from tests of a low-energy effective field theory (EFT) that includes a dilaton field to describe the emergent light scalar with 0++ quantum numbers in the strongly coupled near-conformal gauge theory with a massless fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. In the parlor of walking - based on the observed light scalar, the small β-function at strong coupling, and the large anomalous scale dimension of the chiral condensate - the dilaton EFT hypothesis is introduced to test if it explains the slowly changing nearly scale invariant physics that connects the asymptotically free UV fixed point and the far-infrared scale of chiral symmetry breaking. The characteristic dilaton EFT signatures of scale symmetry breaking are probed in this report in the small Compton wavelength limit of Goldstone bosons relative to the size of the lattice volume (p-regime) and in the limit when the Goldstone wavelength exceeds the size of the volume (ε-regime). Random matrix theory (RMT) analysis of the dilaton EFT is applied to the lowest part of the Dirac spectrum in the ε-regime to directly test predictions for the fundamental EFT parameters. The predictions, sensitive to the choice of the dilaton potential, were limited before to the p-regime, using extrapolations from far above the chiral limit with untested uncertainties. The dilaton EFT analysis of the ε-regime was first suggested in [1], with some results presented at this conference and with our continued post-conference analysis added to stimulate discussions.

AB - New results are reported from tests of a low-energy effective field theory (EFT) that includes a dilaton field to describe the emergent light scalar with 0++ quantum numbers in the strongly coupled near-conformal gauge theory with a massless fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. In the parlor of walking - based on the observed light scalar, the small β-function at strong coupling, and the large anomalous scale dimension of the chiral condensate - the dilaton EFT hypothesis is introduced to test if it explains the slowly changing nearly scale invariant physics that connects the asymptotically free UV fixed point and the far-infrared scale of chiral symmetry breaking. The characteristic dilaton EFT signatures of scale symmetry breaking are probed in this report in the small Compton wavelength limit of Goldstone bosons relative to the size of the lattice volume (p-regime) and in the limit when the Goldstone wavelength exceeds the size of the volume (ε-regime). Random matrix theory (RMT) analysis of the dilaton EFT is applied to the lowest part of the Dirac spectrum in the ε-regime to directly test predictions for the fundamental EFT parameters. The predictions, sensitive to the choice of the dilaton potential, were limited before to the p-regime, using extrapolations from far above the chiral limit with untested uncertainties. The dilaton EFT analysis of the ε-regime was first suggested in [1], with some results presented at this conference and with our continued post-conference analysis added to stimulate discussions.

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M3 - Conference article

AN - SCOPUS:85099587447

VL - 363

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 246

T2 - 37th International Symposium on Lattice Field Theory, LATTICE 2019

Y2 - 16 June 2019 through 22 June 2019

ER -