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31 July 2023 to 4 August 2023
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The conformal fixed point of the SU(3) gauge theory with 10 fundamental flavors

31 Jul 2023, 13:30
20m
Conjectorium (WH3NE)

Conjectorium

WH3NE

Speaker

Anna Hasenfratz (university of colorado boulder)

Description

The SU(3) gauge theory with $N_f=10$ fundamental flavors is thought to be close to the sill of the conformal window. I describe a recent study of this system using the continuous $\beta$ function method based on the gradient flow. We use a Pauli-Villars improved gauge action and several gradient flow transformations. These features allow us to study the system at much stronger gauge couplings than previously possible. Prior lattice studies could not explore gauge couplings above $g^2 \approx 10$. We find strong evidence of a conformal infrared fixed point at $g^2 \approx 15$. The mass anomalous dimension at the conformal fixed point is $\gamma_m\approx 0.6$, indicating that the theory is well above the sill of the conformal window. Our results are consistent with those of prior studies where their domains overlap.

Topical area Particle Physics Beyond the Standard Model

Primary author

Anna Hasenfratz (university of colorado boulder)

Co-authors

Ethan Neil (University of Colorado, Boulder) Yigal Shamir (Tel Aviv University) Benjamin Svetitsky (Tel Aviv University) Oliver Witzel (Universität Siegen)

Presentation materials