28 July 2024 to 3 August 2024
Europe/London timezone

Towards the gradient flow beta function of SU(2) with $N_f=1$ and $2$ adjoint Dirac fermions

30 Jul 2024, 17:15
1h
Poster Particle Physics Beyond the Standard Model Poster session and reception

Speaker

Ed Bennett (Swansea University)

Description

The family of SU(2) theories with matter transforming in the adjoint representation has attracted interest from many angles. The 2-flavour theory, known as Minimal Walking Technicolor, has a body of evidence pointing to it being in the conformal window with anomalous dimension $\gamma_*\approx 0.3$. Perturbative calculations would suggest that the 1-flavour theory should be confining and chirally broken; however, lattice studies of the theory have been inconclusive. In this poster we present a first look at efforts towards the computation of the beta function of these theories using the gradient flow methodology. Following an exploration of the phase diagram of the two theories with Wilson fermions and additional Pauli–Villars fields, we tune the bare fermion mass to near the chiral limit, and subsequently generate ensembles at five lattice volumes and a range of lattice spacings.

Primary authors

Ed Bennett (Swansea University) Andreas Athenodorou (The Cyprus Institute) Georg Bergner (University of Jena) Pietro Butti (University of Zaragoza) Biagio Lucini (Swansea University)

Presentation materials