TY - JOUR
T1 - Infrared fixed point of the SU(3) gauge theory with Nf=10 flavors
AU - Hasenfratz, Anna
AU - Neil, Ethan T.
AU - Shamir, Yigal
AU - Svetitsky, Benjamin
AU - Witzel, Oliver
N1 - Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"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 SCOAP
PY - 2023/10/1
Y1 - 2023/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85175201025&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.108.L071503
DO - 10.1103/PhysRevD.108.L071503
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AN - SCOPUS:85175201025
SN - 2470-0010
VL - 108
JO - Physical Review D
JF - Physical Review D
IS - 7
M1 - L071503
ER -