The infrared regime of SU(2) with one adjoint Dirac flavour

TL;DR

This study investigates SU(2) gauge theory with one adjoint Dirac flavor on the lattice, providing initial spectral and potential results that suggest near-conformal behavior, relevant for beyond Standard Model physics.

Contribution

First lattice investigation of SU(2) with one adjoint Dirac flavor, analyzing spectrum, potential, and anomalous dimension, indicating proximity to the conformal window.

Findings

Results are inconsistent with confinement, suggesting near-conformal behavior.

Anomalous dimension of fermionic condensate estimated between 0.9 and 0.95.

Initial spectral and potential data support theories near the conformal window.

Abstract

SU(2) gauge theory with one Dirac flavour in the adjoint representation is investigated on a lattice. Initial results for the gluonic and mesonic spectrum, static potential from Wilson and Polyakov loops, and the anomalous dimension of the fermionic condensate from the Dirac mode number are presented. The results found are not consistent with conventional confining behaviour, instead tentatively pointing towards a theory lying within or very near the onset of the conformal window, with the anomalous dimension of the fermionic condensate in the range $0.9 \lesssim \gamma_* \lesssim 0.95$. The implications of our work for building a viable theory of strongly interacting dynamics beyond the standard model are discussed.