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  • Letter
  • Open Access

Infrared fixed point of the SU(3) gauge theory with Nf=10 flavors

Anna Hasenfratz1, Ethan T. Neil1, Yigal Shamir2, Benjamin Svetitsky2, and Oliver Witzel3

  • 1Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 2Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, 69978 Tel Aviv, Israel
  • 3Center for Particle Physics Siegen, Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany

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Phys. Rev. D 108, L071503 – Published 11 October, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L071503

Abstract

We use lattice simulations and the continuous renormalization group method, based on the gradient flow, to calculate the β function and anomalous dimensions of the SU(3) gauge theory with Nf=10 flavors of fermions in the fundamental representation. We employ several improvements to extend the range of available renormalized couplings, including the addition of heavy Pauli-Villars bosons to reduce cutoff effects and the combination of a range of gradient flow transformations. While in the weak coupling regime our result is consistent with those of earlier studies, our techniques allow us to study the system at much stronger couplings than previously possible. We find that the renormalization group β function develops a zero, corresponding to an infrared-stable fixed point, at gradient-flow coupling g2=15.0(5). We also determine the mass and tensor anomalous dimensions: At the fixed point we find γm≃0.6, suggesting that this system might be deep inside the conformal window.

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Outline

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Phys. Rev. D 108, L071503– Published 11 October, 2023
  • Received 22 June 2023
  • Accepted 15 September 2023
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