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  • Letter
  • Open Access

Hidden conformal symmetry from the lattice

T. Appelquist1, R. C. Brower2, K. K. Cushman1, G. T. Fleming1,3, A. Gasbarro4, A. Hasenfratz5, J. Ingoldby6,*, X. Y. Jin7, E. T. Neil5 et al.

J. C. Osborn7, C. Rebbi2, E. Rinaldi8, D. Schaich9, P. Vranas10,11, E. Weinberg2,12, and O. Witzel13

  • 1Department of Physics, Sloane Laboratory, Yale University, New Haven, Connecticut 06520, USA
  • 2Department of Physics and Center for Computational Science, Boston University, Boston, Massachusetts 02215, USA
  • 3Theoretical Physics Division, Fermilab, Batavia, Illinois 60510, USA
  • 4AEC Institute for Theoretical Physics, University of Bern, 3012 Bern, Switzerland
  • 5Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 6Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
  • 7Computational Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 8Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
  • 9Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom
  • 10Physical and Life Sciences Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
  • 11Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 12NVIDIA Corporation, Santa Clara, California 95050, USA
  • 13Center for Particle Physics Siegen (CPPS), Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany

  • *ingoldby@ictp.it
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Phys. Rev. D 108, L091505 – Published 29 November, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L091505

Abstract

We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of pseudoscalars and a single light scalar. We first consider the view that this theory is just outside the conformal window. In this case, the pseudoscalars arise from spontaneous breaking of chiral symmetry. Identifying the scalar in this case as an approximate dilaton, we fit the lattice data to a dilaton effective field theory, finding that it yields a good fit even at lowest order. For comparison, we then consider the possibility that the theory is inside the conformal window. The fermion mass provides a deformation, triggering confinement. We employ simple scaling laws to fit the lattice data and find that it is of lesser quality.

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Physics Subject Headings (PhySH)

See Also

Light scalar meson and decay constant in SU(3) gauge theory with eight dynamical flavors

R. C. Brower, E. Owen, C. Rebbi, C. Culver, D. Schaich, K. K. Cushman, G. T. Fleming, A. Gasbarro, A. Hasenfratz, E. T. Neil, J. Ingoldby, X. Y. Jin, J. C. Osborn, E. Rinaldi, P. Vranas, E. Weinberg, and O. Witzel ([Lattice Strong Dynamics (LSD) Collaboration])
Phys. Rev. D 110, 054501 (2024)

Article Text

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Outline

Information

Phys. Rev. D 108, L091505– Published 29 November, 2023
  • Received 24 May 2023
  • Accepted 5 October 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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