New lattice results for SU(2) gauge theory with one adjoint Dirac flavor

TL;DR

This paper presents updated lattice results for SU(2) gauge theory with one adjoint Dirac flavor, analyzing particle spectrum, topological observables, and anomalous dimensions to explore its infrared behavior.

Contribution

It provides new lattice data at multiple couplings, smaller masses, and larger volumes, offering insights into the theory's infrared dynamics and chiral symmetry status.

Findings

Mass anomalous dimension $oxed{ ext{γ}_* ext{≥ 0.6}}$ at finest coupling

Results incompatible with chiral symmetry breaking and confinement

Updated data for spectrum and topological observables

Abstract

Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous investigation of this theory, including data for four values of the gauge coupling $\beta$, and for smaller masses and larger volumes than previously considered. Results for the particle spectrum, topological observables, and the anomalous dimension from both hyperscaling and the Dirac mode number are presented. At the finest coupling, we observe a mass anomalous dimension of $\gamma_* \gtrsim 0.6$. Our findings are analysed in relation to possible infrared behaviours of the model. In particular, we show that our results are not compatible with a confining scenario in which chiral symmetry is broken.